{"id":"https://openalex.org/W7204212409","doi":"https://doi.org/10.5802/crphys.287","title":"Spin response of a magnetic monopole and quantum Hall response in topological lattice models through local invariants and light","display_name":"Spin response of a magnetic monopole and quantum Hall response in topological lattice models through local invariants and light","publication_year":2026,"publication_date":"2026-07-30","ids":{"openalex":"https://openalex.org/W7204212409","doi":"https://doi.org/10.5802/crphys.287"},"language":"en","primary_location":{"id":"doi:10.5802/crphys.287","doi":"https://doi.org/10.5802/crphys.287","is_oa":true,"landing_page_url":"https://doi.org/10.5802/crphys.287","pdf_url":"https://comptes-rendus.academie-sciences.fr/physique/item/10.5802/crphys.287.pdf","source":{"id":"https://openalex.org/S78284227","display_name":"Comptes Rendus Physique","issn_l":"1631-0705","issn":["1631-0705","1878-1535"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-c","doyens","jufo-1","norway-1","oarl","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4404678052","host_organization_name":"Acad\u00e9mie des sciences","host_organization_lineage":["https://openalex.org/P4404678052"],"host_organization_lineage_names":["Acad\u00e9mie des sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Comptes Rendus. Physique","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://comptes-rendus.academie-sciences.fr/physique/item/10.5802/crphys.287.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046471767","display_name":"Karyn Le Hur","orcid":"https://orcid.org/0000-0002-3990-4782","observed_orcids":["https://orcid.org/0000-0002-3990-4782"]},"institutions":[{"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/I4210111960","display_name":"Centre de Physique Th\u00e9orique","ror":"https://ror.org/02bsd9p69","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210098836","https://openalex.org/I4210111960","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Karyn Le Hur","raw_affiliation_strings":["CPHT, CNRS, Institut Polytechnique de Paris, Route de Saclay, 91120 Palaiseau, France"],"raw_orcid":"https://orcid.org/0000-0002-3990-4782","affiliations":[{"raw_affiliation_string":"CPHT, CNRS, Institut Polytechnique de Paris, Route de Saclay, 91120 Palaiseau, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210111960"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5121241651","display_name":"Andrea Baldanza","orcid":"https://orcid.org/0009-0005-3546-5558","observed_orcids":["https://orcid.org/0009-0005-3546-5558"]},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Baldanza","raw_affiliation_strings":["Dipartimento di Fisica, Universit\u00e0 di Roma La Sapienza, Piazzale Aldo Moro 5, I-00185 Roma, Italy"],"raw_orcid":"https://orcid.org/0009-0005-3546-5558","affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 di Roma La Sapienza, Piazzale Aldo Moro 5, I-00185 Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1822,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.89580344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"27","issue":"G1","first_page":"323","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9945999979972839,"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":0.9945999979972839,"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":0.003599999938160181,"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":0.0005000000237487257,"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/magnetic-monopoles","display_name":"magnetic monopoles","score":0.9900000095367432},{"id":"https://openalex.org/keywords/quantum-phase-transitions","display_name":"quantum phase transitions","score":0.8379999995231628},{"id":"https://openalex.org/keywords/effective-magnetic-moment","display_name":"effective magnetic moment","score":0.7409999966621399},{"id":"https://openalex.org/keywords/magnetic-susceptibility","display_name":"magnetic susceptibility","score":0.9390000104904175},{"id":"https://openalex.org/keywords/topological-invariants","display_name":"topological invariants","score":0.8109999895095825},{"id":"https://openalex.org/keywords/haldane-model","display_name":"Haldane model","score":0.8450000286102295},{"id":"https://openalex.org/keywords/dirac-point","display_name":"Dirac point","score":0.847000002861023},{"id":"https://openalex.org/keywords/circularly-polarized-light","display_name":"circularly polarized light","score":0.8479999899864197},{"id":"https://openalex.org/keywords/quantum-spin-hall-effect","display_name":"quantum spin Hall effect","score":0.9490000009536743},{"id":"https://openalex.org/keywords/spin-response","display_name":"spin response","score":0.44200000166893005}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8493000268936157},{"id":"https://openalex.org/C149298590","wikidata":"https://www.wikidata.org/wiki/Q219708","display_name":"Magnetic monopole","level":2,"score":0.6933000087738037},{"id":"https://openalex.org/C200369452","wikidata":"https://www.wikidata.org/wiki/Q1047822","display_name":"Quantum Hall effect","level":3,"score":0.553600013256073},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.499099999666214},{"id":"https://openalex.org/C145727058","wikidata":"https://www.wikidata.org/wiki/Q7269101","display_name":"Quantum spin Hall effect","level":4,"score":0.49300000071525574},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.4715000092983246},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.4503999948501587},{"id":"https://openalex.org/C152991086","wikidata":"https://www.wikidata.org/wiki/Q1225362","display_name":"Position and momentum space","level":2,"score":0.44920000433921814},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4390000104904175},{"id":"https://openalex.org/C7503960","wikidata":"https://www.wikidata.org/wiki/Q721094","display_name":"Topological quantum field theory","level":2,"score":0.4027000069618225},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.375900000333786},{"id":"https://openalex.org/C80891386","wikidata":"https://www.wikidata.org/wiki/Q7269084","display_name":"Quantum phases","level":4,"score":0.3650999963283539},{"id":"https://openalex.org/C17269025","wikidata":"https://www.wikidata.org/wiki/Q3283","display_name":"Geometric phase","level":2,"score":0.35089999437332153},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.33239999413490295},{"id":"https://openalex.org/C148908050","wikidata":"https://www.wikidata.org/wiki/Q11681505","display_name":"Topological entropy in physics","level":3,"score":0.33079999685287476},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3237999975681305},{"id":"https://openalex.org/C199793620","wikidata":"https://www.wikidata.org/wiki/Q7825030","display_name":"Topological degeneracy","level":5,"score":0.3165999948978424},{"id":"https://openalex.org/C92542899","wikidata":"https://www.wikidata.org/wiki/Q7661340","display_name":"Symmetry protected topological order","level":4,"score":0.30140000581741333},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.29589998722076416},{"id":"https://openalex.org/C90626534","wikidata":"https://www.wikidata.org/wiki/Q4523381","display_name":"Hexagonal lattice","level":3,"score":0.2892000079154968},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.2874999940395355},{"id":"https://openalex.org/C75577371","wikidata":"https://www.wikidata.org/wiki/Q6497124","display_name":"Lattice model (finance)","level":3,"score":0.2847000062465668},{"id":"https://openalex.org/C167107555","wikidata":"https://www.wikidata.org/wiki/Q7577418","display_name":"Spin structure","level":3,"score":0.2831000089645386},{"id":"https://openalex.org/C155194400","wikidata":"https://www.wikidata.org/wiki/Q456437","display_name":"Spin Hall effect","level":4,"score":0.28200000524520874},{"id":"https://openalex.org/C174038435","wikidata":"https://www.wikidata.org/wiki/Q232431","display_name":"Quantum number","level":2,"score":0.2784999907016754},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2784000039100647},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.27459999918937683},{"id":"https://openalex.org/C169852918","wikidata":"https://www.wikidata.org/wiki/Q390314","display_name":"Magnetic dipole","level":3,"score":0.2728999853134155},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.2721000015735626},{"id":"https://openalex.org/C161166931","wikidata":"https://www.wikidata.org/wiki/Q7269096","display_name":"Quantum simulator","level":4,"score":0.26350000500679016},{"id":"https://openalex.org/C54553102","wikidata":"https://www.wikidata.org/wiki/Q242657","display_name":"Magnetic moment","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C102439081","wikidata":"https://www.wikidata.org/wiki/Q469596","display_name":"Classical XY model","level":3,"score":0.2574999928474426},{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.25450000166893005},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.25380000472068787}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.5802/crphys.287","doi":"https://doi.org/10.5802/crphys.287","is_oa":true,"landing_page_url":"https://doi.org/10.5802/crphys.287","pdf_url":"https://comptes-rendus.academie-sciences.fr/physique/item/10.5802/crphys.287.pdf","source":{"id":"https://openalex.org/S78284227","display_name":"Comptes Rendus Physique","issn_l":"1631-0705","issn":["1631-0705","1878-1535"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-c","doyens","jufo-1","norway-1","oarl","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4404678052","host_organization_name":"Acad\u00e9mie des sciences","host_organization_lineage":["https://openalex.org/P4404678052"],"host_organization_lineage_names":["Acad\u00e9mie des sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Comptes Rendus. Physique","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2512.19511","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2512.19511","pdf_url":"https://arxiv.org/pdf/2512.19511","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:iris.uniroma1.it:11573/1778480","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11573/1778480","pdf_url":"https://iris.uniroma1.it/bitstream/11573/1778480/2/LeHur_Spin_2026.pdf","source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"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":"pmh:oai:HAL:hal-05765598v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05765598","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Comptes Rendus. Physique, 2026, 27, pp.323 - 351. &#x27E8;10.5802/crphys.287&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2512.19511","doi":"https://doi.org/10.48550/arxiv.2512.19511","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.19511","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":"Preprint"}],"best_oa_location":{"id":"doi:10.5802/crphys.287","doi":"https://doi.org/10.5802/crphys.287","is_oa":true,"landing_page_url":"https://doi.org/10.5802/crphys.287","pdf_url":"https://comptes-rendus.academie-sciences.fr/physique/item/10.5802/crphys.287.pdf","source":{"id":"https://openalex.org/S78284227","display_name":"Comptes Rendus Physique","issn_l":"1631-0705","issn":["1631-0705","1878-1535"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-c","doyens","jufo-1","norway-1","oarl","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4404678052","host_organization_name":"Acad\u00e9mie des sciences","host_organization_lineage":["https://openalex.org/P4404678052"],"host_organization_lineage_names":["Acad\u00e9mie des sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Comptes Rendus. Physique","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325723","display_name":"Studium Loire Valley-Institute for Advanced Studies","ror":"https://ror.org/03qgg4v31"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204212409.pdf","grobid_xml":"https://content.openalex.org/works/W7204212409.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W326669990","https://openalex.org/W1514707913","https://openalex.org/W1936942997","https://openalex.org/W1964465593","https://openalex.org/W1965848318","https://openalex.org/W1980366548","https://openalex.org/W1981651287","https://openalex.org/W1983598020","https://openalex.org/W1990265804","https://openalex.org/W2014430841","https://openalex.org/W2026237155","https://openalex.org/W2027044688","https://openalex.org/W2031028572","https://openalex.org/W2035743770","https://openalex.org/W2037807652","https://openalex.org/W2049152540","https://openalex.org/W2077565565","https://openalex.org/W2083480413","https://openalex.org/W2101561829","https://openalex.org/W2101893110","https://openalex.org/W2121123255","https://openalex.org/W2141832944","https://openalex.org/W2569180425","https://openalex.org/W2736697060","https://openalex.org/W2803111350","https://openalex.org/W2803204305","https://openalex.org/W2947643504","https://openalex.org/W2967623064","https://openalex.org/W2988339616","https://openalex.org/W3100066747","https://openalex.org/W3107066083","https://openalex.org/W3160759767","https://openalex.org/W3162967635","https://openalex.org/W3206098604","https://openalex.org/W4226199020","https://openalex.org/W4363676994","https://openalex.org/W4366681126","https://openalex.org/W4385713602","https://openalex.org/W4386528561","https://openalex.org/W4386906888","https://openalex.org/W4390614216","https://openalex.org/W4402534223","https://openalex.org/W4404407692","https://openalex.org/W4405078239","https://openalex.org/W4405517083","https://openalex.org/W4406013652","https://openalex.org/W4408054140","https://openalex.org/W4412903258","https://openalex.org/W4413218117","https://openalex.org/W4417241403","https://openalex.org/W7162532807"],"related_works":["https://openalex.org/W6891933052","https://openalex.org/W3206098604","https://openalex.org/W2785613737","https://openalex.org/W4404407692","https://openalex.org/W2939878125","https://openalex.org/W4206526803","https://openalex.org/W3175172042","https://openalex.org/W1997489053","https://openalex.org/W2785343598","https://openalex.org/W4313379420"],"abstract_inverted_index":{"Here,":[0],"we":[1],"elaborate":[2],"on":[3],"and":[4,28,118,137,159,169],"develop":[5,115,145],"the":[6,18,57,66,82,90,94,98,116,138,146,152,164],"geometrical":[7],"approach":[8],"introduced":[9,77,129],"in":[10,111,126,172],"Le":[11],"Hur,":[12],"Phys.":[13],"Rep.":[14],"1104":[15],"(2025)":[16],"between":[17,123,163],"magnetic":[19,40,73],"monopole":[20,44],"created":[21],"from":[22,130],"a":[23,43,79,107,120,133,161,176],"radial":[24],"field,":[25],"quantum":[26,33,58,69,155],"physics":[27],"topological":[29,83,91,102,177],"lattice":[30,103],"models":[31,104],"through":[32],"phase":[34,59,92],"transitions.":[35],"We":[36,61,96,114,144],"introduce":[37],"an":[38,47,170],"effective":[39],"moment":[41],"for":[42,148],"when":[45],"applying":[46],"additional":[48],"source":[49],"field":[50],"along":[51],"z":[52],"-direction":[53],"which":[54],"also":[55],"mediates":[56],"transition.":[60,95],"present":[62,119],"its":[63],"relation":[64,99,162],"with":[65,100,175],"transverse":[67],"pumped":[68],"Hall":[70,157],"current.":[71],"The":[72],"susceptibility":[74],"can":[75],"be":[76],"as":[78,106],"measure":[80],"of":[81,154],"invariant":[84],"i.e.":[85],"it":[86],"remains":[87],"quantized":[88],"within":[89],"until":[93],"show":[97],"two-dimensional":[101],"such":[105],"honeycomb":[108],"Haldane":[109],"model":[110],"real":[112,134,173],"space.":[113],"theory":[117],"numerical":[121],"analysis":[122],"local":[124],"invariants":[125],"momentum":[127],"space":[128,135,174],"Dirac":[131],"points,":[132],"correspondence":[136],"responses":[139],"to":[140],"circularly":[141],"polarized":[142],"light.":[143],"formalism":[147],"coupled-planes":[149],"materials":[150],"including":[151],"possibility":[153],"spin":[156],"effect":[158],"address":[160],"Ramanujan":[165],"infinite":[166],"alternating":[167],"series":[168],"interface":[171],"number":[178],"one-half.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-26T00:00:00"}
