{"id":"https://openalex.org/W7214094096","doi":"https://doi.org/10.48550/arxiv.2609.25922","title":"Fractional Quantum Geometry in Topological Mott Regime","display_name":"Fractional Quantum Geometry in Topological Mott Regime","publication_year":2026,"publication_date":"2026-09-22","ids":{"openalex":"https://openalex.org/W7214094096","doi":"https://doi.org/10.48550/arxiv.2609.25922"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.25922","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.25922","pdf_url":"https://arxiv.org/pdf/2609.25922","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.25922","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051037449","display_name":"Junyu Tang","orcid":"https://orcid.org/0000-0001-6501-468X","observed_orcids":["https://orcid.org/0000-0001-6501-468X"]},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tang, Junyu","raw_affiliation_strings":["International Center for Quantum Materials , School of Physics , Peking University , Beijing 100871 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Center for Quantum Materials , School of Physics , Peking University , Beijing 100871 , China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133604805","display_name":"Hongquan Lv","orcid":"https://orcid.org/0009-0001-3320-120X","observed_orcids":["https://orcid.org/0009-0001-3320-120X"]},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lv, Hongquan","raw_affiliation_strings":["International Center for Quantum Materials , School of Physics , Peking University , Beijing 100871 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Center for Quantum Materials , School of Physics , Peking University , Beijing 100871 , China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5139327639","display_name":"Gang v. Chen","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Gang v.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.8051999807357788,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.8051999807357788,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.17110000550746918,"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":0.007600000128149986,"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/quantum-geometry","display_name":"quantum geometry","score":0.8949999809265137},{"id":"https://openalex.org/keywords/topological-mott-insulator","display_name":"topological Mott insulator","score":0.9240000247955322},{"id":"https://openalex.org/keywords/chiral-spin-liquid","display_name":"chiral spin liquid","score":0.9929999709129333},{"id":"https://openalex.org/keywords/berry-curvature","display_name":"Berry curvature","score":0.6119999885559082},{"id":"https://openalex.org/keywords/quantum-metric","display_name":"quantum metric","score":0.9769999980926514},{"id":"https://openalex.org/keywords/moire-systems","display_name":"moir\u00e9 systems","score":0.8849999904632568},{"id":"https://openalex.org/keywords/kramers-kronig-relations","display_name":"Kramers-Kronig relations","score":0.800000011920929},{"id":"https://openalex.org/keywords/optical-conductivity","display_name":"optical conductivity","score":0.4410000145435333}],"concepts":[{"id":"https://openalex.org/C11848077","wikidata":"https://www.wikidata.org/wiki/Q2620182","display_name":"Spinon","level":3,"score":0.7475000023841858},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.739300012588501},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.5913000106811523},{"id":"https://openalex.org/C136479403","wikidata":"https://www.wikidata.org/wiki/Q1047683","display_name":"Quasiparticle","level":3,"score":0.5900999903678894},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4878999888896942},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.4794999957084656},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47929999232292175},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.42829999327659607},{"id":"https://openalex.org/C200369452","wikidata":"https://www.wikidata.org/wiki/Q1047822","display_name":"Quantum Hall effect","level":3,"score":0.42820000648498535},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4277999997138977},{"id":"https://openalex.org/C134962289","wikidata":"https://www.wikidata.org/wiki/Q4820573","display_name":"Mott transition","level":4,"score":0.42579999566078186},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.4219000041484833},{"id":"https://openalex.org/C92542899","wikidata":"https://www.wikidata.org/wiki/Q7661340","display_name":"Symmetry protected topological order","level":4,"score":0.41690000891685486},{"id":"https://openalex.org/C151527765","wikidata":"https://www.wikidata.org/wiki/Q1069818","display_name":"Chern class","level":2,"score":0.40149998664855957},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3880999982357025},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.3865000009536743},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C148908050","wikidata":"https://www.wikidata.org/wiki/Q11681505","display_name":"Topological entropy in physics","level":3,"score":0.3646000027656555},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.32589998841285706},{"id":"https://openalex.org/C128911142","wikidata":"https://www.wikidata.org/wiki/Q1488689","display_name":"Topological insulator","level":2,"score":0.319599986076355},{"id":"https://openalex.org/C71735400","wikidata":"https://www.wikidata.org/wiki/Q5477566","display_name":"Fractionalization","level":3,"score":0.31520000100135803},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.310699999332428},{"id":"https://openalex.org/C136766821","wikidata":"https://www.wikidata.org/wiki/Q1378930","display_name":"Mott insulator","level":2,"score":0.29829999804496765},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.2978000044822693},{"id":"https://openalex.org/C53250935","wikidata":"https://www.wikidata.org/wiki/Q2122184","display_name":"Quantum geometry","level":5,"score":0.2851000130176544},{"id":"https://openalex.org/C199793620","wikidata":"https://www.wikidata.org/wiki/Q7825030","display_name":"Topological degeneracy","level":5,"score":0.2842999994754791},{"id":"https://openalex.org/C66870719","wikidata":"https://www.wikidata.org/wiki/Q1030113","display_name":"Fractional quantum Hall effect","level":5,"score":0.2782000005245209},{"id":"https://openalex.org/C2779165322","wikidata":"https://www.wikidata.org/wiki/Q546145","display_name":"Compactification (mathematics)","level":2,"score":0.27480000257492065},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.26910001039505005},{"id":"https://openalex.org/C90626534","wikidata":"https://www.wikidata.org/wiki/Q4523381","display_name":"Hexagonal lattice","level":3,"score":0.26460000872612},{"id":"https://openalex.org/C80891386","wikidata":"https://www.wikidata.org/wiki/Q7269084","display_name":"Quantum phases","level":4,"score":0.2628999948501587},{"id":"https://openalex.org/C2780276040","wikidata":"https://www.wikidata.org/wiki/Q5161070","display_name":"Conifold","level":3,"score":0.25459998846054077}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.25922","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.25922","pdf_url":"https://arxiv.org/pdf/2609.25922","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":"doi:10.48550/arxiv.2609.25922","doi":"https://doi.org/10.48550/arxiv.2609.25922","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.25922","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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.25922","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.25922","pdf_url":"https://arxiv.org/pdf/2609.25922","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5371801464","display_name":null,"funder_award_id":"2025ZD0300500","funder_id":"https://openalex.org/F4320329860","funder_display_name":"National Science and Technology Major Project"},{"id":"https://openalex.org/G6998600328","display_name":null,"funder_award_id":"12574061","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8136996646","display_name":null,"funder_award_id":"92565110","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320329860","display_name":"National Science and Technology Major Project","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214094096.pdf","grobid_xml":"https://content.openalex.org/works/W7214094096.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W6910694477","https://openalex.org/W7141342893"],"related_works":["https://openalex.org/W7154471724","https://openalex.org/W4306246332","https://openalex.org/W4404407692","https://openalex.org/W4408505054","https://openalex.org/W4415988409","https://openalex.org/W4300980316","https://openalex.org/W4417031014","https://openalex.org/W3005742084","https://openalex.org/W2081987327","https://openalex.org/W7163704440"],"abstract_inverted_index":{"Inspired":[0],"by":[1],"recent":[2],"interests":[3],"in":[4,7,127,159],"quantum":[5,29,154],"geometry":[6,155],"electronic":[8],"bands,":[9],"we":[10],"consider":[11],"a":[12,54,71,147],"two-dimensional":[13],"topological":[14,27,160],"Mott":[15,161],"insulator,":[16],"i.e.":[17],"chiral":[18],"spin":[19],"liquid,":[20],"whose":[21],"spinon":[22,83],"bands":[23],"develop":[24],"nontrivial":[25],"band":[26],"and":[28,58,78,113],"geometry.":[30],"The":[31],"virtual":[32],"polarization":[33],"of":[34,74,90,110,156],"the":[35,40,44,48,67,75,82,87,91,95,100,105,111,122,153],"gapped":[36],"charge":[37,92],"sector":[38],"transfers":[39],"electromagnetic":[41],"drive":[42],"to":[43,121,134],"charge-neutral":[45],"spinons":[46],"through":[47],"emergent":[49],"U(1)":[50],"gauge":[51],"field,":[52],"producing":[53],"tensor":[55],"Ioffe-Larkin":[56,102],"response":[57,103],"enabling":[59],"two":[60],"complementary":[61],"optical":[62],"protocols":[63],"for":[64,150],"measurements.":[65],"In":[66,94],"off-shell":[68],"(low-frequency)":[69],"regime,":[70,98],"self-calibrated":[72],"ratio":[73],"physical":[76],"longitudinal":[77],"Hall":[79],"conductivities":[80],"yields":[81],"Chern":[84],"number":[85],"without":[86],"microscopic":[88],"knowledge":[89],"response.":[93],"on-shell":[96],"(resonant)":[97],"combining":[99],"inverse":[101],"with":[104,142],"Kramers-Kronig":[106],"relation":[107],"enables":[108],"reconstruction":[109],"quantum-metric":[112],"Berry-curvature":[114],"spectral":[115],"densities.":[116],"Our":[117],"approach":[118],"directly":[119],"applies":[120],"triangular":[123,136],"lattice":[124,137],"Hofstadter-Hubbard":[125],"model":[126],"Moir\u00e9":[128],"systems,":[129],"can":[130],"be":[131],"well":[132],"adapted":[133],"other":[135],"antiferromagnets":[138],"such":[139],"as":[140],"Nb$_3$Br$_8$":[141],"appropriate":[143],"modifications.":[144],"We":[145],"establish":[146],"unified":[148],"framework":[149],"quantitatively":[151],"probing":[152],"fractionalized":[157],"quasiparticles":[158],"regime.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-24T00:00:00"}