{"id":"https://openalex.org/W2007776342","doi":"https://doi.org/10.1103/physrevlett.110.037201","title":"Stable Algebraic Spin Liquid in a Hubbard Model","display_name":"Stable Algebraic Spin Liquid in a Hubbard Model","publication_year":2013,"publication_date":"2013-01-14","ids":{"openalex":"https://openalex.org/W2007776342","doi":"https://doi.org/10.1103/physrevlett.110.037201","mag":"2007776342","pmid":"https://pubmed.ncbi.nlm.nih.gov/23373947"},"language":"en","primary_location":{"id":"doi:10.1103/physrevlett.110.037201","doi":"https://doi.org/10.1103/physrevlett.110.037201","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.110.037201","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1208.5240","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112059388","display_name":"Syed R. Hassan","orcid":"https://orcid.org/0000-0003-1963-3759","observed_orcids":["https://orcid.org/0000-0003-1963-3759"]},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. R. Hassan","raw_affiliation_strings":["The Institute of Mathematical Sciences, CIT Campus, Chennai, India","The Institute of Mathematical Sciences, C.I.T. Campus, #R##N#Chennai 600 113, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, CIT Campus, Chennai, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences, C.I.T. Campus, #R##N#Chennai 600 113, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063022841","display_name":"P. V. Sriluckshmy","orcid":"https://orcid.org/0009-0007-0521-4031","observed_orcids":["https://orcid.org/0009-0007-0521-4031"]},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P. V. Sriluckshmy","raw_affiliation_strings":["The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India","The Institute of Mathematical Sciences, C.I.T. Campus, #R##N#Chennai 600 113, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences, C.I.T. Campus, #R##N#Chennai 600 113, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004873717","display_name":"Sandeep K. Goyal","orcid":"https://orcid.org/0000-0002-4337-6142","observed_orcids":["https://orcid.org/0000-0002-4337-6142"]},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]},{"id":"https://openalex.org/I95023434","display_name":"University of KwaZulu-Natal","ror":"https://ror.org/04qzfn040","country_code":"ZA","type":"education","lineage":["https://openalex.org/I95023434"]}],"countries":["IN","ZA"],"is_corresponding":false,"raw_author_name":"Sandeep K. Goyal","raw_affiliation_strings":["School of Chemistry and Physics, University of KwaZulu-Natal, Durban, South Africa","The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemistry and Physics, University of KwaZulu-Natal, Durban, South Africa","institution_ids":["https://openalex.org/I95023434"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087600280","display_name":"Ravi Shankar","orcid":"https://orcid.org/0000-0001-8724-593X","observed_orcids":["https://orcid.org/0000-0001-8724-593X","https://orcid.org/0000-0002-2748-9219"]},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. Shankar","raw_affiliation_strings":["The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India","The Institute of Mathematical Sciences, C.I.T. Campus, #R##N#Chennai 600 113, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences, C.I.T. Campus, #R##N#Chennai 600 113, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003133489","display_name":"David S\u00e9n\u00e9chal","orcid":"https://orcid.org/0000-0002-8991-9106","observed_orcids":["https://orcid.org/0000-0002-8991-9106"]},"institutions":[{"id":"https://openalex.org/I135117807","display_name":"Universit\u00e9 de Sherbrooke","ror":"https://ror.org/00kybxq39","country_code":"CA","type":"education","lineage":["https://openalex.org/I135117807"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"David S\u00e9n\u00e9chal","raw_affiliation_strings":["D\u00e9partment de Physique and RQMP, Universit\u00e9 de Sherbrooke, Sherbrooke, Qu\u00e9bec J1K 2R1, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partment de Physique and RQMP, Universit\u00e9 de Sherbrooke, Sherbrooke, Qu\u00e9bec J1K 2R1, Canada","institution_ids":["https://openalex.org/I135117807"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":1.7521,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.84585247,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"110","issue":"3","first_page":"037201","last_page":"037201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.9789999723434448,"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":0.9789999723434448,"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":0.01489999983459711,"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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.002300000051036477,"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/algebraic-spin-liquid","display_name":"algebraic spin liquid","score":0.9959999918937683},{"id":"https://openalex.org/keywords/hubbard-model","display_name":"Hubbard model","score":0.9760000109672546},{"id":"https://openalex.org/keywords/honeycomb-lattice","display_name":"honeycomb lattice","score":0.972000002861023},{"id":"https://openalex.org/keywords/kitaev-model","display_name":"Kitaev model","score":0.8669999837875366},{"id":"https://openalex.org/keywords/time-reversal-symmetry-breaking","display_name":"time-reversal symmetry breaking","score":0.8299999833106995},{"id":"https://openalex.org/keywords/spin-dependent-hopping","display_name":"spin-dependent hopping","score":0.8629999756813049},{"id":"https://openalex.org/keywords/mott-insulator","display_name":"Mott insulator","score":0.7409999966621399},{"id":"https://openalex.org/keywords/time-reversal-invariance","display_name":"time-reversal invariance","score":0.8560000061988831},{"id":"https://openalex.org/keywords/cold-atoms","display_name":"cold atoms","score":0.6110000014305115},{"id":"https://openalex.org/keywords/phase-stability","display_name":"phase stability","score":0.4180000126361847}],"concepts":[{"id":"https://openalex.org/C2778761060","wikidata":"https://www.wikidata.org/wiki/Q6714234","display_name":"MAJORANA","level":3,"score":0.8738036155700684},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7402189373970032},{"id":"https://openalex.org/C106074065","wikidata":"https://www.wikidata.org/wiki/Q1571298","display_name":"Hubbard model","level":3,"score":0.7265263795852661},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.6840789318084717},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.502825915813446},{"id":"https://openalex.org/C108205863","wikidata":"https://www.wikidata.org/wiki/Q1661413","display_name":"Quantum spin liquid","level":4,"score":0.49728086590766907},{"id":"https://openalex.org/C2780198381","wikidata":"https://www.wikidata.org/wiki/Q17083882","display_name":"Spin model","level":2,"score":0.49155792593955994},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4868709146976471},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.47839438915252686},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.45272496342658997},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.439095675945282},{"id":"https://openalex.org/C111776688","wikidata":"https://www.wikidata.org/wiki/Q7880521","display_name":"Ultracold atom","level":3,"score":0.4118443727493286},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.36599981784820557},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.15294522047042847},{"id":"https://openalex.org/C21690051","wikidata":"https://www.wikidata.org/wiki/Q962347","display_name":"Spin polarization","level":3,"score":0.13971209526062012},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.06481626629829407},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevlett.110.037201","doi":"https://doi.org/10.1103/physrevlett.110.037201","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.110.037201","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},{"id":"pmid:23373947","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23373947","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review letters","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1208.5240","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.5240","pdf_url":"https://arxiv.org/pdf/1208.5240","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.1208.5240","doi":"https://doi.org/10.48550/arxiv.1208.5240","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1208.5240","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":"pmh:oai:arXiv.org:1208.5240","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.5240","pdf_url":"https://arxiv.org/pdf/1208.5240","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":[],"funders":[{"id":"https://openalex.org/F4320314000","display_name":"Compute Canada","ror":"https://ror.org/03ty8yr27"},{"id":"https://openalex.org/F4320314264","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2007776342.pdf","grobid_xml":"https://content.openalex.org/works/W2007776342.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1493641458","https://openalex.org/W1558578758","https://openalex.org/W1887049708","https://openalex.org/W1964766898","https://openalex.org/W1966808325","https://openalex.org/W1972866644","https://openalex.org/W1973663126","https://openalex.org/W1987487397","https://openalex.org/W2001445685","https://openalex.org/W2010469581","https://openalex.org/W2018432602","https://openalex.org/W2029317558","https://openalex.org/W2032230581","https://openalex.org/W2037061674","https://openalex.org/W2043827934","https://openalex.org/W2045027952","https://openalex.org/W2046775071","https://openalex.org/W2048639010","https://openalex.org/W2056404648","https://openalex.org/W2067361110","https://openalex.org/W2071274335","https://openalex.org/W2073365379","https://openalex.org/W2089125985","https://openalex.org/W2089268032","https://openalex.org/W2094333671","https://openalex.org/W2106339652","https://openalex.org/W2121828787","https://openalex.org/W2141708961","https://openalex.org/W3022633097","https://openalex.org/W3023162579"],"related_works":["https://openalex.org/W2997090062","https://openalex.org/W2071274335","https://openalex.org/W2919465601","https://openalex.org/W2595337624","https://openalex.org/W3190467925","https://openalex.org/W2590540878","https://openalex.org/W3193140383","https://openalex.org/W1997378603","https://openalex.org/W2950151343","https://openalex.org/W2623568384"],"abstract_inverted_index":{"We":[0,56],"show":[1],"the":[2,33,43,50,59,67,73,76,94],"existence":[3],"of":[4,42,53,75,93],"a":[5,13,18],"stable":[6],"algebraic":[7],"spin":[8,30,61],"liquid":[9],"(ASL)":[10],"phase":[11],"in":[12,66,84],"Hubbard":[14],"model":[15,31,35,62,79],"defined":[16],"on":[17],"honeycomb":[19],"lattice":[20],"with":[21],"spin-dependent":[22],"hopping":[23],"that":[24,58],"breaks":[25],"time-reversal":[26,51,64],"symmetry.":[27],"The":[28,40,78],"effective":[29,60],"is":[32,47,63],"Kitaev":[34],"for":[36],"large":[37],"on-site":[38],"repulsion.":[39],"gaplessness":[41],"emergent":[44],"Majorana":[45],"fermions":[46],"protected":[48],"by":[49],"invariance":[52],"this":[54],"model.":[55],"prove":[57],"invariant":[65],"entire":[68],"Mott":[69],"phase,":[70],"thus":[71],"ensuring":[72],"stability":[74],"ASL.":[77,95],"can":[80],"be":[81],"physically":[82],"realized":[83],"cold":[85],"atom":[86],"systems,":[87],"and":[88],"we":[89],"propose":[90],"experimental":[91],"signals":[92]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}