{"id":"https://openalex.org/W4200417997","doi":"https://doi.org/10.1088/1367-2630/ac4126","title":"Linking topological features of the Hofstadter model to optical diffraction figures","display_name":"Linking topological features of the Hofstadter model to optical diffraction figures","publication_year":2021,"publication_date":"2021-12-08","ids":{"openalex":"https://openalex.org/W4200417997","doi":"https://doi.org/10.1088/1367-2630/ac4126","mag":"3168404366"},"language":"en","primary_location":{"id":"doi:10.1088/1367-2630/ac4126","doi":"https://doi.org/10.1088/1367-2630/ac4126","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1367-2630/ac4126","pdf_url":"https://iopscience.iop.org/article/10.1088/1367-2630/ac4126/pdf","source":{"id":"https://openalex.org/S148121101","display_name":"New Journal of Physics","issn_l":"1367-2630","issn":["1367-2630"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Journal of Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://iopscience.iop.org/article/10.1088/1367-2630/ac4126/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045921881","display_name":"Francesco Di Colandrea","orcid":"https://orcid.org/0000-0002-4863-1448","observed_orcids":["https://orcid.org/0000-0002-4863-1448"]},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Di Colandrea","raw_affiliation_strings":["Dipartimento di Fisica, Universit\u00e0 di Napoli Federico II, Complesso Universitario di Monte Sant\u2019Angelo, Via Cintia, 80126 Napoli, Italy"],"raw_orcid":"https://orcid.org/0000-0002-4863-1448","affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 di Napoli Federico II, Complesso Universitario di Monte Sant\u2019Angelo, Via Cintia, 80126 Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061617810","display_name":"Alessio D\u2019Errico","orcid":"https://orcid.org/0000-0002-6964-4328","observed_orcids":["https://orcid.org/0000-0002-6964-4328"]},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessio D\u2019Errico","raw_affiliation_strings":["Dipartimento di Fisica, Universit\u00e0 di Napoli Federico II, Complesso Universitario di Monte Sant\u2019Angelo, Via Cintia, 80126 Napoli, Italy"],"raw_orcid":"https://orcid.org/0000-0002-6964-4328","affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 di Napoli Federico II, Complesso Universitario di Monte Sant\u2019Angelo, Via Cintia, 80126 Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032436749","display_name":"Maria Maffei","orcid":"https://orcid.org/0000-0001-5183-4716","observed_orcids":["https://orcid.org/0000-0001-5183-4716","https://orcid.org/0000-0002-7500-4845"]},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144791","display_name":"Institut N\u00e9el","ror":"https://ror.org/04dbzz632","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210098836","https://openalex.org/I4210144791","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Maria Maffei","raw_affiliation_strings":["Universit\u00e9 Grenoble Alpes, CNRS, Grenoble INP, Institut N\u00e9el, 38000 Grenoble, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Grenoble Alpes, CNRS, Grenoble INP, Institut N\u00e9el, 38000 Grenoble, France","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210144791","https://openalex.org/I899635006"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083345273","display_name":"Hannah M. Price","orcid":"https://orcid.org/0000-0002-1377-596X","observed_orcids":["https://orcid.org/0000-0002-1377-596X"]},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hannah M Price","raw_affiliation_strings":["School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0002-1377-596X","affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051113581","display_name":"Maciej Lewenstein","orcid":"https://orcid.org/0000-0002-0210-7800","observed_orcids":["https://orcid.org/0000-0002-0210-7800"]},"institutions":[{"id":"https://openalex.org/I11932220","display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats","ror":"https://ror.org/0371hy230","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I11932220"]},{"id":"https://openalex.org/I179630473","display_name":"Institute of Photonic Sciences","ror":"https://ror.org/03g5ew477","country_code":"ES","type":"facility","lineage":["https://openalex.org/I179630473","https://openalex.org/I4210132884","https://openalex.org/I4387153040","https://openalex.org/I9617848"]},{"id":"https://openalex.org/I4210132884","display_name":"Barcelona Institute of Science and Technology","ror":"https://ror.org/03kpps236","country_code":"ES","type":"education","lineage":["https://openalex.org/I4210132884"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Maciej Lewenstein","raw_affiliation_strings":["ICFO\u2014Institut de Ciencies Fot\u00f3niques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain","ICREA, Pg. Llu\u00efs Companys 23, 08010 Barcelona, Spain"],"raw_orcid":"https://orcid.org/0000-0002-0210-7800","affiliations":[{"raw_affiliation_string":"ICFO\u2014Institut de Ciencies Fot\u00f3niques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain","institution_ids":["https://openalex.org/I179630473","https://openalex.org/I4210132884"]},{"raw_affiliation_string":"ICREA, Pg. Llu\u00efs Companys 23, 08010 Barcelona, Spain","institution_ids":["https://openalex.org/I11932220"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076715999","display_name":"Lorenzo Marrucci","orcid":"https://orcid.org/0000-0002-1154-8966","observed_orcids":["https://orcid.org/0000-0002-1154-8966"]},"institutions":[{"id":"https://openalex.org/I4210091512","display_name":"Institute of Applied Science and Intelligent Systems","ror":"https://ror.org/00be3zh53","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210091512","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Marrucci","raw_affiliation_strings":["CNR-ISASI, Institute of Applied Science and Intelligent Systems, Via Campi Flegrei 34, 80078 Pozzuoli (NA), Italy","Dipartimento di Fisica, Universit\u00e0 di Napoli Federico II, Complesso Universitario di Monte Sant\u2019Angelo, Via Cintia, 80126 Napoli, Italy"],"raw_orcid":"https://orcid.org/0000-0002-1154-8966","affiliations":[{"raw_affiliation_string":"CNR-ISASI, Institute of Applied Science and Intelligent Systems, Via Campi Flegrei 34, 80078 Pozzuoli (NA), Italy","institution_ids":["https://openalex.org/I4210091512"]},{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 di Napoli Federico II, Complesso Universitario di Monte Sant\u2019Angelo, Via Cintia, 80126 Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012401973","display_name":"Filippo Cardano","orcid":"https://orcid.org/0000-0002-7828-3819","observed_orcids":["https://orcid.org/0000-0002-7828-3819"]},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Filippo Cardano","raw_affiliation_strings":["Dipartimento di Fisica, Universit\u00e0 di Napoli Federico II, Complesso Universitario di Monte Sant\u2019Angelo, Via Cintia, 80126 Napoli, Italy"],"raw_orcid":"https://orcid.org/0000-0002-7828-3819","affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 di Napoli Federico II, Complesso Universitario di Monte Sant\u2019Angelo, Via Cintia, 80126 Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068029291","display_name":"Alexandre Dauphin","orcid":"https://orcid.org/0000-0003-4996-2561","observed_orcids":["https://orcid.org/0000-0003-4996-2561"]},"institutions":[{"id":"https://openalex.org/I179630473","display_name":"Institute of Photonic Sciences","ror":"https://ror.org/03g5ew477","country_code":"ES","type":"facility","lineage":["https://openalex.org/I179630473","https://openalex.org/I4210132884","https://openalex.org/I4387153040","https://openalex.org/I9617848"]},{"id":"https://openalex.org/I4210132884","display_name":"Barcelona Institute of Science and Technology","ror":"https://ror.org/03kpps236","country_code":"ES","type":"education","lineage":["https://openalex.org/I4210132884"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Alexandre Dauphin","raw_affiliation_strings":["ICFO\u2014Institut de Ciencies Fot\u00f3niques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain"],"raw_orcid":"https://orcid.org/0000-0003-4996-2561","affiliations":[{"raw_affiliation_string":"ICFO\u2014Institut de Ciencies Fot\u00f3niques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain","institution_ids":["https://openalex.org/I179630473","https://openalex.org/I4210132884"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077550491","display_name":"Pietro Massignan","orcid":"https://orcid.org/0000-0003-1545-792X","observed_orcids":["https://orcid.org/0000-0003-1545-792X"]},"institutions":[{"id":"https://openalex.org/I179630473","display_name":"Institute of Photonic Sciences","ror":"https://ror.org/03g5ew477","country_code":"ES","type":"facility","lineage":["https://openalex.org/I179630473","https://openalex.org/I4210132884","https://openalex.org/I4387153040","https://openalex.org/I9617848"]},{"id":"https://openalex.org/I4210132884","display_name":"Barcelona Institute of Science and Technology","ror":"https://ror.org/03kpps236","country_code":"ES","type":"education","lineage":["https://openalex.org/I4210132884"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pietro Massignan","raw_affiliation_strings":["Departament de F\u00edsica, Universitat Polit\u00e8cnica de Catalunya, Campus Nord B4-B5, 08034 Barcelona, Spain","ICFO\u2014Institut de Ciencies Fot\u00f3niques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain"],"raw_orcid":"https://orcid.org/0000-0003-1545-792X","affiliations":[{"raw_affiliation_string":"Departament de F\u00edsica, Universitat Polit\u00e8cnica de Catalunya, Campus Nord B4-B5, 08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"ICFO\u2014Institut de Ciencies Fot\u00f3niques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain","institution_ids":["https://openalex.org/I179630473","https://openalex.org/I4210132884"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":11,"corresponding_author_ids":["https://openalex.org/A5012401973","https://openalex.org/A5068029291"],"corresponding_institution_ids":["https://openalex.org/I179630473","https://openalex.org/I4210132884","https://openalex.org/I71267560"],"apc_list":{"value":2195,"currency":"USD","value_usd":2195},"apc_paid":{"value":2195,"currency":"USD","value_usd":2195},"fwci":0.7677,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.64968351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"24","issue":"1","first_page":"013028","last_page":"013028"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.0031999999191612005,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hofstadter-model","display_name":"Hofstadter model","score":0.9359999895095825},{"id":"https://openalex.org/keywords/chern-number","display_name":"Chern number","score":0.9819999933242798},{"id":"https://openalex.org/keywords/topological-invariants","display_name":"topological invariants","score":0.8799999952316284},{"id":"https://openalex.org/keywords/light-diffraction","display_name":"light diffraction","score":0.6919999718666077},{"id":"https://openalex.org/keywords/bragg-condition","display_name":"Bragg condition","score":0.9269999861717224},{"id":"https://openalex.org/keywords/diophantine-equations","display_name":"Diophantine equations","score":0.9779999852180481},{"id":"https://openalex.org/keywords/magnetic-flux","display_name":"magnetic flux","score":0.5920000076293945},{"id":"https://openalex.org/keywords/optical-gratings","display_name":"optical gratings","score":0.7400000095367432},{"id":"https://openalex.org/keywords/structural-disorder","display_name":"structural disorder","score":0.6729999780654907},{"id":"https://openalex.org/keywords/quantum-hall-effect","display_name":"quantum Hall effect","score":0.9610000252723694},{"id":"https://openalex.org/keywords/lattice-hamiltonian","display_name":"lattice Hamiltonian","score":0.41200000047683716}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9106189608573914},{"id":"https://openalex.org/C200369452","wikidata":"https://www.wikidata.org/wiki/Q1047822","display_name":"Quantum Hall effect","level":3,"score":0.5998796224594116},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.589697003364563},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5644424557685852},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.5154834389686584},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4313778579235077},{"id":"https://openalex.org/C188914724","wikidata":"https://www.wikidata.org/wiki/Q1203075","display_name":"Point reflection","level":2,"score":0.431144654750824},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.367397278547287},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.30545711517333984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":11,"locations":[{"id":"doi:10.1088/1367-2630/ac4126","doi":"https://doi.org/10.1088/1367-2630/ac4126","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1367-2630/ac4126","pdf_url":"https://iopscience.iop.org/article/10.1088/1367-2630/ac4126/pdf","source":{"id":"https://openalex.org/S148121101","display_name":"New Journal of Physics","issn_l":"1367-2630","issn":["1367-2630"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Journal of Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2106.08837","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.08837","pdf_url":"https://arxiv.org/pdf/2106.08837","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:upcommons.upc.edu:2117/388484","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/388484","pdf_url":"https://upcommons.upc.edu/bitstream/2117/388484/1/Di_Colandrea_2022_New_J._Phys._24_013028.pdf","source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:ricerca.uniba.it:11586/433185","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11586/433185","pdf_url":"https://ricerca.uniba.it/bitstream/11586/433185/1/8.%20Di_Colandrea_2022_New_J._Phys._24_013028.pdf","source":{"id":"https://openalex.org/S4377196296","display_name":"CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I5561750","host_organization_name":"University of Bari Aldo Moro","host_organization_lineage":["https://openalex.org/I5561750"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"mag:3168404366","doi":null,"is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2106.08837","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03274202v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-03274202","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"New Journal of Physics, 2022, 24, pp.013028. &#x27E8;10.1088/1367-2630/ac4126&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:c2eb1af0f28f42dcba5d9a2633899128","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/c2eb1af0f28f42dcba5d9a2633899128","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"New Journal of Physics, Vol 24, Iss 1, p 013028 (2022)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/21873771","doi":null,"is_oa":true,"landing_page_url":"https://figshare.com/articles/preprint/Linking_topological_features_of_the_Hofstadter_model_to_optical_diffraction_figures/21873771","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/d2fc056b-0a0f-4742-9013-0b5339960d03","doi":null,"is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/d2fc056b-0a0f-4742-9013-0b5339960d03","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Colandrea, F D, D\u2019Errico, A, Maffei, M, Price, H M, Lewenstein, M, Marrucci, L, Cardano, F, Dauphin, A & Massignan, P 2022, 'Linking topological features of the Hofstadter model to optical diffraction figures', New Journal of Physics, vol. 24, no. 1, 013028. https://doi.org/10.1088/1367-2630/ac4126","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/d2fc056b-0a0f-4742-9013-0b5339960d03","doi":null,"is_oa":true,"landing_page_url":"https://birmingham.elsevierpure.com/en/publications/d2fc056b-0a0f-4742-9013-0b5339960d03","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Colandrea, F D, D\u2019Errico, A, Maffei, M, Price, H M, Lewenstein, M, Marrucci, L, Cardano, F, Dauphin, A & Massignan, P 2022, 'Linking topological features of the Hofstadter model to optical diffraction figures', New Journal of Physics, vol. 24, no. 1, 013028. https://doi.org/10.1088/1367-2630/ac4126","raw_type":"article"},{"id":"doi:10.48550/arxiv.2106.08837","doi":"https://doi.org/10.48550/arxiv.2106.08837","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2106.08837","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1088/1367-2630/ac4126","doi":"https://doi.org/10.1088/1367-2630/ac4126","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1367-2630/ac4126","pdf_url":"https://iopscience.iop.org/article/10.1088/1367-2630/ac4126/pdf","source":{"id":"https://openalex.org/S148121101","display_name":"New Journal of Physics","issn_l":"1367-2630","issn":["1367-2630"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Journal of Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1175115578","display_name":null,"funder_award_id":"AEI//10.13039/501100011033/","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G1309967896","display_name":null,"funder_award_id":"FIS2017-84114-C2-1-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G1341588127","display_name":null,"funder_award_id":"RGF\\R1\\180071","funder_id":"https://openalex.org/F4320320006","funder_display_name":"Royal Society"},{"id":"https://openalex.org/G148743912","display_name":null,"funder_award_id":"QuantumCAT \\ U16-011424","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G1495698476","display_name":null,"funder_award_id":"MCIN/AEI/ 10.13039/501100011033","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G1622782223","display_name":null,"funder_award_id":"MCIN/AEI/10","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G162601807","display_name":null,"funder_award_id":"QuantumCAT\\U16-011424","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G1694298633","display_name":null,"funder_award_id":"RGFEA180121","funder_id":"https://openalex.org/F4320320006","funder_display_name":"Royal Society"},{"id":"https://openalex.org/G1871477277","display_name":null,"funder_award_id":"NSF PHY 17-48958","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1888088267","display_name":null,"funder_award_id":"2014-2020\u2019","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G1908469581","display_name":null,"funder_award_id":"CEX2019-000910-S","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G1909050264","display_name":null,"funder_award_id":"U16-011424","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G2038104832","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G2064873908","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G2163055958","display_name":null,"funder_award_id":"2017 SGR 134","funder_id":"https://openalex.org/F4320315803","funder_display_name":"Centres de Recerca de Catalunya"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2355262757","display_name":null,"funder_award_id":"MCIN/AEI/10.13039/501100011033/","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G2357050330","display_name":null,"funder_award_id":"2017 SGR 134","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G2469010403","display_name":null,"funder_award_id":"MCIN /AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2494840282","display_name":null,"funder_award_id":"UF160112","funder_id":"https://openalex.org/F4320320006","funder_display_name":"Royal Society"},{"id":"https://openalex.org/G2673512141","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G2708380862","display_name":"Structured electric-dipole-based chirality","funder_award_id":"101029393","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"id":"https://openalex.org/G2713276326","display_name":null,"funder_award_id":"by MCIN/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2744780120","display_name":null,"funder_award_id":"U16-011424","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G2763573136","display_name":null,"funder_award_id":"CEX2019-000910-S","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G288263039","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G3005324705","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G3007892998","display_name":null,"funder_award_id":"FQXi-IAF19-05","funder_id":"https://openalex.org/F4320311357","funder_display_name":"Foundational Questions Institute"},{"id":"https://openalex.org/G300979063","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3261693824","display_name":null,"funder_award_id":"ID100010434","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G3288897321","display_name":null,"funder_award_id":"2017-SGR","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G3302599245","display_name":null,"funder_award_id":"RTC2019- 007196-7","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G34346518","display_name":null,"funder_award_id":"MCIN/AEI/10.13039/501 100 011 033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3546882995","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G3639969887","display_name":null,"funder_award_id":"U16-011424","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G3674674691","display_name":null,"funder_award_id":"CEX2019-000910-S","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G3939077204","display_name":null,"funder_award_id":"PCI2019-111828-2","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G408490004","display_name":null,"funder_award_id":"PCI2019-111828-2","funder_id":"https://openalex.org/F4320330828","funder_display_name":"QuantERA"},{"id":"https://openalex.org/G410571670","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G4179535065","display_name":null,"funder_award_id":"PID2020\u2013113565\u00a0GB-C21","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G425668148","display_name":null,"funder_award_id":".13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4353981422","display_name":null,"funder_award_id":"U16-011424","funder_id":"https://openalex.org/F4320330828","funder_display_name":"QuantERA"},{"id":"https://openalex.org/G4391008399","display_name":null,"funder_award_id":"PID2019\u2013106901\u00a0GB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G451917667","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G4526231891","display_name":null,"funder_award_id":"MCIN / AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4630312626","display_name":null,"funder_award_id":"899794","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5426121769","display_name":null,"funder_award_id":"LCF/BQ/PR20/11770012","funder_id":"https://openalex.org/F4320312058","funder_display_name":"\u201cla Caixa\u201d Foundation"},{"id":"https://openalex.org/G5505639174","display_name":null,"funder_award_id":"847648","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G5539308778","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G5554424168","display_name":null,"funder_award_id":"2017SGR","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G5852091828","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G5967599077","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G6079324567","display_name":null,"funder_award_id":"2014-2020","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G6482940084","display_name":null,"funder_award_id":"CEX2019-000910-S","funder_id":"https://openalex.org/F4320315803","funder_display_name":"Centres de Recerca de Catalunya"},{"id":"https://openalex.org/G6656126374","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320315803","funder_display_name":"Centres de Recerca de Catalunya"},{"id":"https://openalex.org/G6727213032","display_name":null,"funder_award_id":"QuantumCAT U16-011424","funder_id":"https://openalex.org/F4320315803","funder_display_name":"Centres de Recerca de Catalunya"},{"id":"https://openalex.org/G6790183914","display_name":null,"funder_award_id":"2016/20/W/ST4/00314","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"},{"id":"https://openalex.org/G69051668","display_name":null,"funder_award_id":"MCIN /AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G7021218639","display_name":null,"funder_award_id":"FIDEUA PID2019-106901GB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7181734937","display_name":null,"funder_award_id":"694683","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G7226647862","display_name":null,"funder_award_id":"RTC2019-007196-7","funder_id":"https://openalex.org/F4320330828","funder_display_name":"QuantERA"},{"id":"https://openalex.org/G7425137858","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G7438636020","display_name":null,"funder_award_id":"IAF19-05","funder_id":"https://openalex.org/F4320311357","funder_display_name":"Foundational Questions Institute"},{"id":"https://openalex.org/G7898799392","display_name":null,"funder_award_id":"11690013","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8180681537","display_name":null,"funder_award_id":"CEX2019-000910","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8283979283","display_name":null,"funder_award_id":"MAQS PCI2019-111828-2","funder_id":"https://openalex.org/F4320330828","funder_display_name":"QuantERA"},{"id":"https://openalex.org/G8497063558","display_name":"Kavli Institute for Theoretical Physics","funder_award_id":"1748958","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G853839195","display_name":null,"funder_award_id":"2016/20/W/ST4/00314","funder_id":"https://openalex.org/F4320322650","funder_display_name":"Narodowym Centrum Nauki"},{"id":"https://openalex.org/G8637226926","display_name":null,"funder_award_id":"MCIN/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320315803","funder_display_name":"Centres de Recerca de Catalunya"},{"id":"https://openalex.org/G8676624529","display_name":null,"funder_award_id":"SGR 134","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G8684520763","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8765903826","display_name":null,"funder_award_id":"RGFnEAn180121","funder_id":"https://openalex.org/F4320320006","funder_display_name":"Royal Society"},{"id":"https://openalex.org/G885552189","display_name":null,"funder_award_id":"2017 SGR 134","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G929308097","display_name":null,"funder_award_id":"MCIN/ AEI/ 10.13039/501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G948124368","display_name":null,"funder_award_id":"PID2020-113565GB-C21","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G9487005","display_name":null,"funder_award_id":"ANR-PRC-CES47","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310210","display_name":"Fundaci\u00f3n Cellex","ror":"https://ror.org/019dmpq73"},{"id":"https://openalex.org/F4320311357","display_name":"Foundational Questions Institute","ror":"https://ror.org/016en1t86"},{"id":"https://openalex.org/F4320312058","display_name":"\u201cla Caixa\u201d Foundation","ror":"https://ror.org/03zhx9h04"},{"id":"https://openalex.org/F4320315803","display_name":"Centres de Recerca de Catalunya","ror":"https://ror.org/01bkbaq61"},{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321505","display_name":"Generalitat de Catalunya","ror":"https://ror.org/01bg62x04"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320322650","display_name":"Narodowym Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320330828","display_name":"QuantERA","ror":null},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334830","display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca","ror":"https://ror.org/01n4pqe45"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":"https://ror.org/003x0zc53"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4200417997.pdf","grobid_xml":"https://content.openalex.org/works/W4200417997.grobid-xml"},"referenced_works_count":72,"referenced_works":["https://openalex.org/W866678434","https://openalex.org/W1448382730","https://openalex.org/W1506311588","https://openalex.org/W1514707913","https://openalex.org/W1601700513","https://openalex.org/W1617576213","https://openalex.org/W1677888046","https://openalex.org/W1965292581","https://openalex.org/W1968557970","https://openalex.org/W1973947734","https://openalex.org/W1985793901","https://openalex.org/W1986891238","https://openalex.org/W1988195577","https://openalex.org/W1988242914","https://openalex.org/W1988619801","https://openalex.org/W1994136511","https://openalex.org/W1994659789","https://openalex.org/W2027823340","https://openalex.org/W2028867364","https://openalex.org/W2031435515","https://openalex.org/W2031887978","https://openalex.org/W2036196591","https://openalex.org/W2037807652","https://openalex.org/W2038531793","https://openalex.org/W2043518261","https://openalex.org/W2048899697","https://openalex.org/W2048971077","https://openalex.org/W2054660546","https://openalex.org/W2070843794","https://openalex.org/W2077896911","https://openalex.org/W2080554742","https://openalex.org/W2086713359","https://openalex.org/W2093699506","https://openalex.org/W2093789581","https://openalex.org/W2101093580","https://openalex.org/W2118666298","https://openalex.org/W2125376096","https://openalex.org/W2126848025","https://openalex.org/W2156726186","https://openalex.org/W2160498162","https://openalex.org/W2171824107","https://openalex.org/W2201078340","https://openalex.org/W2262840273","https://openalex.org/W2403089480","https://openalex.org/W2555076820","https://openalex.org/W2561173328","https://openalex.org/W2571385219","https://openalex.org/W2617026648","https://openalex.org/W2620775208","https://openalex.org/W2736697060","https://openalex.org/W2746713678","https://openalex.org/W2770873825","https://openalex.org/W2781846354","https://openalex.org/W2789692664","https://openalex.org/W2790327112","https://openalex.org/W2802678508","https://openalex.org/W2803204305","https://openalex.org/W2804931942","https://openalex.org/W2808010617","https://openalex.org/W2811302149","https://openalex.org/W2876380218","https://openalex.org/W2899799403","https://openalex.org/W2933107465","https://openalex.org/W2948261210","https://openalex.org/W3002405140","https://openalex.org/W3029908106","https://openalex.org/W3033417094","https://openalex.org/W3099373198","https://openalex.org/W3099392659","https://openalex.org/W3114413172","https://openalex.org/W3139205377","https://openalex.org/W4211161891"],"related_works":["https://openalex.org/W3168404366","https://openalex.org/W1963648551","https://openalex.org/W2613999480","https://openalex.org/W1876036500","https://openalex.org/W2885331545","https://openalex.org/W3101783635","https://openalex.org/W4416039479","https://openalex.org/W2027823340","https://openalex.org/W2908981229","https://openalex.org/W2948333742"],"abstract_inverted_index":{"Abstract":[0],"In":[1,98],"two,":[2],"three":[3],"and":[4,69,90,114],"even":[5],"four":[6],"spatial":[7],"dimensions,":[8],"the":[9,36,40,50,61,66,70,74,80,84,91,109,115,119,123,137,146,153,159],"transverse":[10,156],"responses":[11],"experienced":[12],"by":[13,28,56],"a":[14,18,21,105,149],"charged":[15],"particle":[16],"on":[17],"lattice":[19],"in":[20,145,158],"uniform":[22],"magnetic":[23,51,67],"field":[24],"are":[25,54],"fully":[26],"controlled":[27],"topological":[29,85],"invariants":[30],"called":[31],"Chern":[32,71],"numbers,":[33],"which":[34,59],"characterize":[35],"energy":[37],"bands":[38],"of":[39,63,73,87,122,131,139,152,155],"underlying":[41],"Hofstadter":[42,88],"Hamiltonian.":[43],"These":[44],"remarkable":[45],"features,":[46],"solely":[47],"arising":[48],"from":[49,95],"translational":[52],"symmetry,":[53],"captured":[55],"Diophantine":[57,112],"equations":[58],"relate":[60],"fraction":[62],"occupied":[64],"states,":[65],"flux":[68],"numbers":[72],"system":[75],"bands.":[76],"Here":[77],"we":[78,100,134],"investigate":[79],"close":[81],"analogy":[82],"between":[83,108],"properties":[86],"Hamiltonians":[89],"diffraction":[92,125,140],"figures":[93,141],"resulting":[94],"optical":[96,124],"gratings.":[97],"particular,":[99],"show":[101],"that":[102],"there":[103],"is":[104,148],"one-to-one":[106],"relation":[107],"above":[110],"mentioned":[111],"equation":[113],"Bragg":[116],"condition":[117],"determining":[118],"far-field":[120],"positions":[121],"peaks.":[126],"As":[127],"an":[128],"interesting":[129],"consequence":[130],"this":[132],"mapping,":[133],"discuss":[135],"how":[136],"robustness":[138,154],"to":[142],"structural":[143],"disorder":[144],"grating":[147],"direct":[150],"analogue":[151],"conductance":[157],"quantum":[160],"Hall":[161],"effect.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-12-31T00:00:00"}
