{"id":"https://openalex.org/W7214937892","doi":"https://doi.org/10.48550/arxiv.2609.31846","title":"Read-Rezayi fractional Chern insulators in modulated Bernal graphene","display_name":"Read-Rezayi fractional Chern insulators in modulated Bernal graphene","publication_year":2026,"publication_date":"2026-09-25","ids":{"openalex":"https://openalex.org/W7214937892","doi":"https://doi.org/10.48550/arxiv.2609.31846"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.31846","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.31846","pdf_url":"https://arxiv.org/pdf/2609.31846","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/2609.31846","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119982693","display_name":"Ruth Mora-Soto","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mora-Soto, Ruth","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057686577","display_name":"Andr\u00e9 Grossi Fonseca","orcid":"https://orcid.org/0000-0001-9789-8037","observed_orcids":["https://orcid.org/0000-0001-9789-8037"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fonseca, Andr\u00e9 Grossi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034258298","display_name":"Ra\u00fcl Perea\u2010Caus\u00edn","orcid":"https://orcid.org/0000-0002-2229-0147","observed_orcids":["https://orcid.org/0000-0002-2229-0147"]},"institutions":[{"id":"https://openalex.org/I119971240","display_name":"Nordic Institute for Theoretical Physics","ror":"https://ror.org/03r06fs10","country_code":"SE","type":"facility","lineage":["https://openalex.org/I119971240"]},{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]},{"id":"https://openalex.org/I4210135511","display_name":"AlbaNova","ror":"https://ror.org/044kkfr75","country_code":"SE","type":"facility","lineage":["https://openalex.org/I4210135511"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Perea-Causin, Raul","raw_affiliation_strings":["Department of Physics , Stockholm University , AlbaNova University Center , 106 91 Stockholm , Sweden","Nordita , KTH Royal Institute of Technology , Stockholm University and Uppsala University , 106 91 Stockholm , Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Stockholm University , AlbaNova University Center , 106 91 Stockholm , Sweden","institution_ids":["https://openalex.org/I161593684","https://openalex.org/I4210135511"]},{"raw_affiliation_string":"Nordita , KTH Royal Institute of Technology , Stockholm University and Uppsala University , 106 91 Stockholm , Sweden","institution_ids":["https://openalex.org/I119971240","https://openalex.org/I123387679","https://openalex.org/I161593684","https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153581753","display_name":"Hui Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]},{"id":"https://openalex.org/I4210135511","display_name":"AlbaNova","ror":"https://ror.org/044kkfr75","country_code":"SE","type":"facility","lineage":["https://openalex.org/I4210135511"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Liu, Hui","raw_affiliation_strings":["Department of Physics , Stockholm University , AlbaNova University Center , 106 91 Stockholm , Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Stockholm University , AlbaNova University Center , 106 91 Stockholm , Sweden","institution_ids":["https://openalex.org/I161593684","https://openalex.org/I4210135511"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056417959","display_name":"Emil J. Bergholtz","orcid":"https://orcid.org/0000-0002-9739-2930","observed_orcids":["https://orcid.org/0000-0002-9739-2930"]},"institutions":[{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]},{"id":"https://openalex.org/I4210135511","display_name":"AlbaNova","ror":"https://ror.org/044kkfr75","country_code":"SE","type":"facility","lineage":["https://openalex.org/I4210135511"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Bergholtz, Emil J.","raw_affiliation_strings":["Department of Physics , Stockholm University , AlbaNova University Center , 106 91 Stockholm , Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Stockholm University , AlbaNova University Center , 106 91 Stockholm , Sweden","institution_ids":["https://openalex.org/I161593684","https://openalex.org/I4210135511"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060426875","display_name":"Marin Soljacic A","orcid":"https://orcid.org/0000-0002-7184-5831","observed_orcids":["https://orcid.org/0000-0002-7184-5831","https://orcid.org/0000-0001-8466-0193"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Solja\u010di\u0107, Marin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.9150000214576721,"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":0.9150000214576721,"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":0.04560000076889992,"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/T11804","display_name":"Quantum many-body systems","score":0.014600000344216824,"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/fractional-chern-insulators","display_name":"fractional Chern insulators","score":0.8960000276565552},{"id":"https://openalex.org/keywords/bilayer-graphene","display_name":"bilayer graphene","score":0.9509999752044678},{"id":"https://openalex.org/keywords/fibonacci-anyons","display_name":"Fibonacci anyons","score":0.9549999833106995},{"id":"https://openalex.org/keywords/moore-read-state","display_name":"Moore-Read state","score":0.9089999794960022},{"id":"https://openalex.org/keywords/zero-magnetic-field","display_name":"zero magnetic field","score":0.7149999737739563},{"id":"https://openalex.org/keywords/electrostatic-interactions","display_name":"electrostatic interactions","score":0.7310000061988831},{"id":"https://openalex.org/keywords/landau-levels","display_name":"Landau levels","score":0.5509999990463257}],"concepts":[{"id":"https://openalex.org/C200369452","wikidata":"https://www.wikidata.org/wiki/Q1047822","display_name":"Quantum Hall effect","level":3,"score":0.7279000282287598},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6575999855995178},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.6484000086784363},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.6237000226974487},{"id":"https://openalex.org/C143401881","wikidata":"https://www.wikidata.org/wiki/Q4156171","display_name":"Bilayer graphene","level":3,"score":0.5773000121116638},{"id":"https://openalex.org/C50899005","wikidata":"https://www.wikidata.org/wiki/Q277967","display_name":"Landau quantization","level":3,"score":0.5493999719619751},{"id":"https://openalex.org/C30080830","wikidata":"https://www.wikidata.org/wiki/Q169917","display_name":"Graphene","level":2,"score":0.5383999943733215},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.49160000681877136},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.48510000109672546},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.4790000021457672},{"id":"https://openalex.org/C66870719","wikidata":"https://www.wikidata.org/wiki/Q1030113","display_name":"Fractional quantum Hall effect","level":5,"score":0.47540000081062317},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.4702000021934509},{"id":"https://openalex.org/C80891386","wikidata":"https://www.wikidata.org/wiki/Q7269084","display_name":"Quantum phases","level":4,"score":0.459199994802475},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43140000104904175},{"id":"https://openalex.org/C187483380","wikidata":"https://www.wikidata.org/wiki/Q7825042","display_name":"Topological quantum computer","level":3,"score":0.4156999886035919},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4023999869823456},{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.38109999895095825},{"id":"https://openalex.org/C17269025","wikidata":"https://www.wikidata.org/wiki/Q3283","display_name":"Geometric phase","level":2,"score":0.3781999945640564},{"id":"https://openalex.org/C125469278","wikidata":"https://www.wikidata.org/wiki/Q806380","display_name":"Electronic band structure","level":2,"score":0.35989999771118164},{"id":"https://openalex.org/C124657808","wikidata":"https://www.wikidata.org/wiki/Q1133068","display_name":"Quantum dot","level":2,"score":0.3393999934196472},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.30709999799728394},{"id":"https://openalex.org/C145727058","wikidata":"https://www.wikidata.org/wiki/Q7269101","display_name":"Quantum spin Hall effect","level":4,"score":0.29989999532699585},{"id":"https://openalex.org/C128911142","wikidata":"https://www.wikidata.org/wiki/Q1488689","display_name":"Topological insulator","level":2,"score":0.29910001158714294},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.29159998893737793},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.2825999855995178},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C105382558","wikidata":"https://www.wikidata.org/wiki/Q332431","display_name":"Superlattice","level":2,"score":0.2644999921321869},{"id":"https://openalex.org/C101496351","wikidata":"https://www.wikidata.org/wiki/Q11430","display_name":"State of matter","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.2605000138282776},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.2574999928474426},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2526000142097473}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.31846","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.31846","pdf_url":"https://arxiv.org/pdf/2609.31846","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.2609.31846","doi":"https://doi.org/10.48550/arxiv.2609.31846","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.31846","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.31846","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.31846","pdf_url":"https://arxiv.org/pdf/2609.31846","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/G1459921489","display_name":null,"funder_award_id":"W911NF\u201023\u20102\u20100121","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G3509299210","display_name":"AI Institute: AI Research Institute for Fundamental Interactions","funder_award_id":"2019786","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3869395684","display_name":null,"funder_award_id":"N00014\u201020\u20101\u20102325","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5837059390","display_name":null,"funder_award_id":"N00014-20-1-2325","funder_id":"https://openalex.org/F4320333591","funder_display_name":"Multidisciplinary University Research Initiative"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214937892.pdf","grobid_xml":"https://content.openalex.org/works/W7214937892.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1656481297","https://openalex.org/W1919978603","https://openalex.org/W1969128440","https://openalex.org/W2122426078","https://openalex.org/W2237760718","https://openalex.org/W4414597290","https://openalex.org/W7163705895","https://openalex.org/W7202177731","https://openalex.org/W7214755617"],"related_works":["https://openalex.org/W7221842796","https://openalex.org/W7117631909","https://openalex.org/W4389072899","https://openalex.org/W6910691135","https://openalex.org/W4386044218","https://openalex.org/W2759281036","https://openalex.org/W4401364087","https://openalex.org/W4387294602","https://openalex.org/W4392015766","https://openalex.org/W2997386898"],"abstract_inverted_index":{"Fibonacci":[0],"anyons":[1],"provide":[2],"a":[3,37,45,75,86,100,103,152],"universal":[4],"platform":[5],"for":[6],"topological":[7],"quantum":[8,23,140],"computation,":[9],"and":[10,113],"emerge":[11],"as":[12,151],"low-energy":[13],"excitations":[14],"in":[15,20,33,64,159],"the":[16,21,34,58,111,118,125],"$\\mathbb{Z}_3$":[17],"Read-Rezayi":[18,87],"phase":[19,32],"fractional":[22,88,139],"Hall":[24,141],"effect.":[25],"However,":[26],"realistic":[27],"microscopic":[28,162],"realizations":[29],"of":[30,36,47,77,102,110],"this":[31],"absence":[35],"magnetic":[38,145],"field":[39],"have":[40],"remained":[41],"elusive.":[42],"We":[43],"study":[44],"model":[46],"periodically":[48],"modulated":[49,132],"Bernal":[50,133],"bilayer":[51],"graphene":[52,134],"with":[53,66,85,117,124],"gate-screened":[54],"Coulomb":[55],"interactions.":[56],"Using":[57],"recently":[59],"developed":[60],"target-phase":[61,149],"optimization":[62,150],"method":[63],"conjunction":[65],"band-projected":[67],"exact":[68],"diagonalization,":[69],"we":[70],"identify":[71],"at":[72,121,143],"filling":[73],"$\u03bd=3/5$":[74],"region":[76],"parameter":[78],"space":[79],"whose":[80],"ground":[81,119],"state":[82,120],"is":[83,99],"consistent":[84,123],"Chern":[89],"insulator.":[90],"The":[91],"partially":[92],"filled":[93],"band":[94],"from":[95],"which":[96,106],"it":[97],"arises":[98],"part":[101],"two-band":[104],"complex":[105],"mimics":[107],"geometric":[108],"aspects":[109],"lowest":[112],"first":[114],"Landau":[115],"levels,":[116],"$\u03bd=1/2$":[122],"Moore-Read":[126],"state.":[127],"Our":[128],"results":[129],"suggest":[130],"that":[131],"can":[135],"realize":[136],"delicate":[137],"non-Abelian":[138],"states":[142],"zero":[144],"field,":[146],"while":[147],"demonstrating":[148],"practical":[153],"route":[154],"to":[155],"discovering":[156],"such":[157],"phases":[158],"realistic,":[160],"high-dimensional":[161],"models.":[163]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-01T00:00:00"}