{"id":"https://openalex.org/W4292572951","doi":"https://doi.org/10.3390/sym14081736","title":"Effects of the Vertices on the Topological Bound States in a Quasicrystalline Topological Insulator","display_name":"Effects of the Vertices on the Topological Bound States in a Quasicrystalline Topological Insulator","publication_year":2022,"publication_date":"2022-08-19","ids":{"openalex":"https://openalex.org/W4292572951","doi":"https://doi.org/10.3390/sym14081736"},"language":"en","primary_location":{"id":"doi:10.3390/sym14081736","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14081736","pdf_url":"https://www.mdpi.com/2073-8994/14/8/1736/pdf?version=1660917467","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/8/1736/pdf?version=1660917467","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007456422","display_name":"Simone Traverso","orcid":"https://orcid.org/0000-0003-4612-4167"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Simone Traverso","raw_affiliation_strings":["Dipartimento di Fisica, Universit\u00e0 Degli Studi di Genova, Via Dodecaneso 33, 16146 Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 Degli Studi di Genova, Via Dodecaneso 33, 16146 Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062122914","display_name":"Niccol\u00f2 Traverso Ziani","orcid":"https://orcid.org/0000-0002-5085-7403"},"institutions":[{"id":"https://openalex.org/I4210095637","display_name":"Superconducting and other Innovative Materials and Devices Institute","ror":"https://ror.org/00p03yg71","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210095637","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Niccol\u00f2 Traverso Ziani","raw_affiliation_strings":["CNR SPIN, Via Dodecaneso 33, 16146 Genova, Italy","Dipartimento di Fisica, Universit\u00e0 Degli Studi di Genova, Via Dodecaneso 33, 16146 Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNR SPIN, Via Dodecaneso 33, 16146 Genova, Italy","institution_ids":["https://openalex.org/I4210095637"]},{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 Degli Studi di Genova, Via Dodecaneso 33, 16146 Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023430113","display_name":"Maura Sassetti","orcid":"https://orcid.org/0000-0002-1974-8209"},"institutions":[{"id":"https://openalex.org/I4210095637","display_name":"Superconducting and other Innovative Materials and Devices Institute","ror":"https://ror.org/00p03yg71","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210095637","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Maura Sassetti","raw_affiliation_strings":["CNR SPIN, Via Dodecaneso 33, 16146 Genova, Italy","Dipartimento di Fisica, Universit\u00e0 Degli Studi di Genova, Via Dodecaneso 33, 16146 Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNR SPIN, Via Dodecaneso 33, 16146 Genova, Italy","institution_ids":["https://openalex.org/I4210095637"]},{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 Degli Studi di Genova, Via Dodecaneso 33, 16146 Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023430113","https://openalex.org/A5062122914"],"corresponding_institution_ids":["https://openalex.org/I4210095637","https://openalex.org/I83816512"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.3057,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.57112458,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"14","issue":"8","first_page":"1736","last_page":"1736"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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":1.0,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10083","display_name":"Graphene research and applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/bilayer-graphene","display_name":"Bilayer graphene","score":0.6353304982185364},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.622492253780365},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6142071485519409},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5611650347709656},{"id":"https://openalex.org/keywords/quasicrystal","display_name":"Quasicrystal","score":0.533292293548584},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4955700635910034},{"id":"https://openalex.org/keywords/insulator","display_name":"Insulator (electricity)","score":0.48230552673339844},{"id":"https://openalex.org/keywords/bound-state","display_name":"Bound state","score":0.48150214552879333},{"id":"https://openalex.org/keywords/m\u00f6bius-strip","display_name":"M\u00f6bius strip","score":0.44378355145454407},{"id":"https://openalex.org/keywords/zero-point-energy","display_name":"Zero-point energy","score":0.437698632478714},{"id":"https://openalex.org/keywords/topological-insulator","display_name":"Topological insulator","score":0.43614330887794495},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.4329474866390228},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.42163437604904175},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.28590497374534607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2849295139312744},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23567050695419312},{"id":"https://openalex.org/keywords/graphene","display_name":"Graphene","score":0.20054590702056885},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1903204321861267},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09128528833389282}],"concepts":[{"id":"https://openalex.org/C143401881","wikidata":"https://www.wikidata.org/wiki/Q4156171","display_name":"Bilayer graphene","level":3,"score":0.6353304982185364},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.622492253780365},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6142071485519409},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5611650347709656},{"id":"https://openalex.org/C203101518","wikidata":"https://www.wikidata.org/wiki/Q263214","display_name":"Quasicrystal","level":2,"score":0.533292293548584},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4955700635910034},{"id":"https://openalex.org/C212702","wikidata":"https://www.wikidata.org/wiki/Q178150","display_name":"Insulator (electricity)","level":2,"score":0.48230552673339844},{"id":"https://openalex.org/C174084160","wikidata":"https://www.wikidata.org/wiki/Q908049","display_name":"Bound state","level":2,"score":0.48150214552879333},{"id":"https://openalex.org/C178186502","wikidata":"https://www.wikidata.org/wiki/Q226843","display_name":"M\u00f6bius strip","level":2,"score":0.44378355145454407},{"id":"https://openalex.org/C53104380","wikidata":"https://www.wikidata.org/wiki/Q4327971","display_name":"Zero-point energy","level":2,"score":0.437698632478714},{"id":"https://openalex.org/C128911142","wikidata":"https://www.wikidata.org/wiki/Q1488689","display_name":"Topological insulator","level":2,"score":0.43614330887794495},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.4329474866390228},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.42163437604904175},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.28590497374534607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2849295139312744},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23567050695419312},{"id":"https://openalex.org/C30080830","wikidata":"https://www.wikidata.org/wiki/Q169917","display_name":"Graphene","level":2,"score":0.20054590702056885},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1903204321861267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09128528833389282},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/sym14081736","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14081736","pdf_url":"https://www.mdpi.com/2073-8994/14/8/1736/pdf?version=1660917467","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2302.07752","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2302.07752","pdf_url":"https://arxiv.org/pdf/2302.07752","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:8d4680fa3ffc4a41af83c53b6831d36b","is_oa":true,"landing_page_url":"https://doaj.org/article/8d4680fa3ffc4a41af83c53b6831d36b","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,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 8, p 1736 (2022)","raw_type":"article"},{"id":"pmh:oai:iris.unige.it:11567/1100234","is_oa":false,"landing_page_url":"https://hdl.handle.net/11567/1100234","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/8/1736/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14081736","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14081736","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14081736","pdf_url":"https://www.mdpi.com/2073-8994/14/8/1736/pdf?version=1660917467","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4956079712","display_name":null,"funder_award_id":"2018-2022","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G8991675144","display_name":null,"funder_award_id":"Dipartimento di Eccellenza MIUR 2018\u20132022","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4292572951.pdf"},"referenced_works_count":93,"referenced_works":["https://openalex.org/W326669990","https://openalex.org/W1487179853","https://openalex.org/W1495180852","https://openalex.org/W1558759321","https://openalex.org/W1801388537","https://openalex.org/W1970367174","https://openalex.org/W1976027447","https://openalex.org/W1983175170","https://openalex.org/W1986517262","https://openalex.org/W1994243205","https://openalex.org/W2001803416","https://openalex.org/W2005688629","https://openalex.org/W2006695375","https://openalex.org/W2006723320","https://openalex.org/W2019978695","https://openalex.org/W2020332193","https://openalex.org/W2021913692","https://openalex.org/W2025108991","https://openalex.org/W2030164271","https://openalex.org/W2031671478","https://openalex.org/W2035019009","https://openalex.org/W2043175787","https://openalex.org/W2051299771","https://openalex.org/W2055024637","https://openalex.org/W2058124396","https://openalex.org/W2077683511","https://openalex.org/W2077962869","https://openalex.org/W2087066408","https://openalex.org/W2088198211","https://openalex.org/W2095285033","https://openalex.org/W2101274111","https://openalex.org/W2101893110","https://openalex.org/W2103890753","https://openalex.org/W2114682250","https://openalex.org/W2117734893","https://openalex.org/W2152240519","https://openalex.org/W2153852402","https://openalex.org/W2168606130","https://openalex.org/W2231745852","https://openalex.org/W2286461341","https://openalex.org/W2297110384","https://openalex.org/W2557414703","https://openalex.org/W2575114542","https://openalex.org/W2593904612","https://openalex.org/W2604989170","https://openalex.org/W2613483744","https://openalex.org/W2738503431","https://openalex.org/W2745740700","https://openalex.org/W2746713678","https://openalex.org/W2750111109","https://openalex.org/W2753724413","https://openalex.org/W2764060105","https://openalex.org/W2766357348","https://openalex.org/W2770269544","https://openalex.org/W2774709686","https://openalex.org/W2785331841","https://openalex.org/W2790907903","https://openalex.org/W2796955000","https://openalex.org/W2798167337","https://openalex.org/W2806007468","https://openalex.org/W2824605532","https://openalex.org/W2889360378","https://openalex.org/W2892720617","https://openalex.org/W2916989216","https://openalex.org/W2939250417","https://openalex.org/W2953766454","https://openalex.org/W2999097752","https://openalex.org/W3006204964","https://openalex.org/W3017461389","https://openalex.org/W3037308856","https://openalex.org/W3043936164","https://openalex.org/W3049669241","https://openalex.org/W3081551030","https://openalex.org/W3098573125","https://openalex.org/W3099372212","https://openalex.org/W3099411975","https://openalex.org/W3101449852","https://openalex.org/W3102414803","https://openalex.org/W3102880249","https://openalex.org/W3103018804","https://openalex.org/W3103448536","https://openalex.org/W3103618868","https://openalex.org/W3104932446","https://openalex.org/W3105096372","https://openalex.org/W3106103135","https://openalex.org/W3106140216","https://openalex.org/W3118344276","https://openalex.org/W3125378746","https://openalex.org/W3126978261","https://openalex.org/W3208584880","https://openalex.org/W3209961988","https://openalex.org/W4254837558","https://openalex.org/W4298147505"],"related_works":["https://openalex.org/W2124135375","https://openalex.org/W1968282678","https://openalex.org/W633037086","https://openalex.org/W2115426789","https://openalex.org/W2964102946","https://openalex.org/W2594597352","https://openalex.org/W2283198499","https://openalex.org/W2019127508","https://openalex.org/W2065876891","https://openalex.org/W1989929256"],"abstract_inverted_index":{"The":[0],"experimental":[1],"realization":[2],"of":[3,11,54,68,79],"twisted":[4],"bilayer":[5,12],"graphene":[6],"strongly":[7,73],"pushed":[8],"the":[9,34,51,55,66,69,76,80,83,103],"inspection":[10],"systems.":[13],"In":[14,82],"this":[15],"context,":[16],"it":[17],"was":[18],"recently":[19],"shown":[20],"that":[21,65],"a":[22,28,37,60,88],"two":[23],"layer":[24],"Haldane":[25],"model":[26],"with":[27,42],"thirty":[29],"degree":[30],"rotation":[31],"angle":[32],"between":[33],"layers":[35],"represents":[36],"higher":[38],"order":[39],"topological":[40],"insulator,":[41],"zero-dimensional":[43],"states":[44,72,96],"isolated":[45],"in":[46],"energy":[47,67],"and":[48],"localized":[49],"at":[50],"physical":[52],"vertices":[53],"nanostructure.":[56],"We":[57],"show,":[58],"within":[59],"numerical":[61],"tight":[62],"binding":[63],"approach,":[64],"zero":[70],"dimensional":[71],"depends":[74],"on":[75],"geometrical":[77],"structure":[78],"vertices.":[81],"most":[84],"extreme":[85],"cases,":[86],"once":[87],"specific":[89],"band":[90],"gap":[91],"is":[92],"considered,":[93],"these":[94],"bound":[95],"can":[97],"even":[98],"disappear":[99],"just":[100],"by":[101],"changing":[102],"vertex":[104],"structure.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2022-08-22T00:00:00"}