{"id":"https://openalex.org/W7223233648","doi":"https://doi.org/10.48550/arxiv.2610.29278","title":"Chirality, Klein duality, and the stability of Kitaev spin liquids on the star lattice","display_name":"Chirality, Klein duality, and the stability of Kitaev spin liquids on the star lattice","publication_year":2026,"publication_date":"2026-10-21","ids":{"openalex":"https://openalex.org/W7223233648","doi":"https://doi.org/10.48550/arxiv.2610.29278"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.29278","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29278","pdf_url":"https://arxiv.org/pdf/2610.29278","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/2610.29278","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159036760","display_name":"Harsh Raj","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"education","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Raj, Harsh","raw_affiliation_strings":["Department of Physics , Indian Institute of Technology Madras , Chennai 600036 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Indian Institute of Technology Madras , Chennai 600036 , India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072782132","display_name":"Yasir Iqbal","orcid":"https://orcid.org/0000-0002-3387-0120","observed_orcids":["https://orcid.org/0000-0002-3387-0120","https://orcid.org/0000-0003-0936-8947"]},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"education","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Iqbal, Yasir","raw_affiliation_strings":["Department of Physics , Indian Institute of Technology Madras , Chennai 600036 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Indian Institute of Technology Madras , Chennai 600036 , India","institution_ids":["https://openalex.org/I24676775"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I24676775"],"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.9907000064849854,"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":0.9907000064849854,"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":0.006200000178068876,"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":0.0010999999940395355,"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/kitaev-spin-liquid","display_name":"Kitaev spin liquid","score":0.9049999713897705},{"id":"https://openalex.org/keywords/star-lattice","display_name":"star lattice","score":0.9929999709129333},{"id":"https://openalex.org/keywords/projective-symmetry-group","display_name":"projective symmetry group","score":0.921999990940094},{"id":"https://openalex.org/keywords/time-reversal-symmetry-breaking","display_name":"time-reversal symmetry breaking","score":0.8379999995231628},{"id":"https://openalex.org/keywords/majorana-representation","display_name":"Majorana representation","score":0.6510000228881836},{"id":"https://openalex.org/keywords/heisenberg-exchange-coupling","display_name":"Heisenberg exchange coupling","score":0.6700000166893005},{"id":"https://openalex.org/keywords/z2-spin-liquid","display_name":"Z2 spin liquid","score":0.6420000195503235},{"id":"https://openalex.org/keywords/band-inversion","display_name":"band inversion","score":0.5870000123977661},{"id":"https://openalex.org/keywords/spin-orbit-coupling","display_name":"spin-orbit coupling","score":0.6779999732971191}],"concepts":[{"id":"https://openalex.org/C155355069","wikidata":"https://www.wikidata.org/wiki/Q575224","display_name":"Antiferromagnetism","level":2,"score":0.7407000064849854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7378000020980835},{"id":"https://openalex.org/C108205863","wikidata":"https://www.wikidata.org/wiki/Q1661413","display_name":"Quantum spin liquid","level":4,"score":0.6388000249862671},{"id":"https://openalex.org/C201665358","wikidata":"https://www.wikidata.org/wiki/Q899196","display_name":"Heisenberg model","level":3,"score":0.5442000031471252},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.5371000170707703},{"id":"https://openalex.org/C2778761060","wikidata":"https://www.wikidata.org/wiki/Q6714234","display_name":"MAJORANA","level":3,"score":0.508400022983551},{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","level":2,"score":0.49970000982284546},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.4862000048160553},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4618000090122223},{"id":"https://openalex.org/C2778242569","wikidata":"https://www.wikidata.org/wiki/Q1996344","display_name":"Continuous symmetry","level":2,"score":0.45019999146461487},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.4392000138759613},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.438400000333786},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.3686999976634979},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.33629998564720154},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.31520000100135803},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.30979999899864197},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C24452717","wikidata":"https://www.wikidata.org/wiki/Q17103552","display_name":"Spin representation","level":5,"score":0.28529998660087585},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.28029999136924744},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C2780198381","wikidata":"https://www.wikidata.org/wiki/Q17083882","display_name":"Spin model","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C29547527","wikidata":"https://www.wikidata.org/wiki/Q5259335","display_name":"Density matrix renormalization group","level":3,"score":0.2624000012874603},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.26089999079704285},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2574999928474426},{"id":"https://openalex.org/C119350121","wikidata":"https://www.wikidata.org/wiki/Q1091134","display_name":"Commensurability (mathematics)","level":2,"score":0.25600001215934753},{"id":"https://openalex.org/C124668440","wikidata":"https://www.wikidata.org/wiki/Q2305173","display_name":"Chirality (physics)","level":5,"score":0.25189998745918274}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.29278","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29278","pdf_url":"https://arxiv.org/pdf/2610.29278","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.2610.29278","doi":"https://doi.org/10.48550/arxiv.2610.29278","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.29278","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":"pmh:oai:arXiv.org:2610.29278","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29278","pdf_url":"https://arxiv.org/pdf/2610.29278","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/G1352909968","display_name":null,"funder_award_id":"\u223cSP22231244CPETWOQCDHOC","funder_id":"https://openalex.org/F4320322211","funder_display_name":"Indian Institute of Technology Madras"},{"id":"https://openalex.org/G3398237449","display_name":null,"funder_award_id":"PHY-2309135","funder_id":"https://openalex.org/F4320337427","funder_display_name":"Kavli Institute for Theoretical Physics, University of California, Santa Barbara"},{"id":"https://openalex.org/G4689434848","display_name":null,"funder_award_id":"2309135","funder_id":"https://openalex.org/F4320337427","funder_display_name":"Kavli Institute for Theoretical Physics, University of California, Santa Barbara"},{"id":"https://openalex.org/G476975023","display_name":null,"funder_award_id":"284558FY19","funder_id":"https://openalex.org/F4320320894","funder_display_name":"Abdus Salam International Centre for Theoretical Physics"},{"id":"https://openalex.org/G5695997946","display_name":null,"funder_award_id":"ICTS/DMFQM2025/07","funder_id":"https://openalex.org/F4320337427","funder_display_name":"Kavli Institute for Theoretical Physics, University of California, Santa Barbara"},{"id":"https://openalex.org/G7002119356","display_name":"Kavli Institute for Theoretical Physics","funder_award_id":"2309135","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310042","display_name":"Aspen Center for Physics","ror":"https://ror.org/05gqcbq50"},{"id":"https://openalex.org/F4320320721","display_name":"Council of Scientific and Industrial Research, India","ror":"https://ror.org/021wm7p51"},{"id":"https://openalex.org/F4320320894","display_name":"Abdus Salam International Centre for Theoretical Physics","ror":"https://ror.org/009gyvm78"},{"id":"https://openalex.org/F4320322211","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49"},{"id":"https://openalex.org/F4320337427","display_name":"Kavli Institute for Theoretical Physics, University of California, Santa Barbara","ror":"https://ror.org/02t274463"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223233648.pdf","grobid_xml":"https://content.openalex.org/works/W7223233648.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7222965467"],"related_works":["https://openalex.org/W2183022520","https://openalex.org/W2963586933","https://openalex.org/W834926809","https://openalex.org/W2041820600","https://openalex.org/W2054678250","https://openalex.org/W2044878403","https://openalex.org/W1624896571","https://openalex.org/W2967190986","https://openalex.org/W7222965467","https://openalex.org/W3100739626"],"abstract_inverted_index":{"The":[0,123,144,254],"star":[1],"lattice":[2,118],"hosts":[3],"the":[4,27,72,79,83,89,93,106,149,153,158,201,205,207,216,220,226,251,271,275],"Yao-Kivelson":[5],"chiral":[6,134],"spin":[7,13,85,114,278],"liquid,":[8],"an":[9,40],"exactly":[10,157],"solvable":[11,80],"Kitaev":[12,59,183,202],"liquid":[14,115],"that":[15,39,71],"breaks":[16],"time":[17,121],"reversal":[18],"spontaneously":[19],"and":[20,125,155,230,235],"is":[21,74,140,169],"non-Abelian":[22,126],"or":[23],"Abelian":[24,124],"depending":[25],"on":[26,88,105,116,215,250,258],"ratio":[28],"of":[29,66,78,128,179,261,274],"its":[30],"two":[31,221],"couplings.":[32],"A":[33],"density-matrix":[34],"renormalization":[35],"group":[36],"study":[37],"found":[38],"added":[41],"Heisenberg":[42,150,223],"exchange":[43],"leaves":[44,156],"it":[45,174],"a":[46,54,76,98,112,132,141,162,176,182,242,259],"wide":[47],"stability":[48],"window":[49],"for":[50,57,211,233,238],"ferromagnetic":[51,239],"but":[52],"only":[53],"narrow":[55],"one":[56],"antiferromagnetic":[58,234,252],"coupling.":[60],"Using":[61],"projective":[62],"symmetry":[63],"groups":[64],"(PSGs)":[65],"fermionic":[67,272],"partons,":[68],"we":[69],"show":[70],"chirality":[73],"not":[75],"peculiarity":[77],"point:":[81],"whenever":[82],"$\u03c0$":[84],"rotations":[86],"act":[87],"partons":[90],"as":[91],"in":[92,188],"exact":[94],"solution":[95],"(spin-gauge":[96],"locking),":[97],"time-reversal-symmetric":[99],"mean-field":[100,186],"state":[101,245],"has":[102],"no":[103],"amplitude":[104],"triangles,":[107],"at":[108],"any":[109],"range,":[110],"so":[111],"Kitaev-type":[113],"this":[117],"must":[119],"break":[120],"reversal.":[122],"liquids":[127],"both":[129,193,212],"signs":[130,194],"share":[131],"single":[133],"PSG,":[135],"within":[136],"which":[137,147,268],"their":[138],"transition":[139],"band":[142],"inversion.":[143],"Klein":[145],"duality,":[146],"reverses":[148],"coupling,":[151,240],"permutes":[152],"PSGs":[154,264],"locked":[159,171],"ones":[160],"unchanged;":[161],"$Z_2$":[163,263],"spin-liquid":[164],"phase":[165],"mapped":[166],"onto":[167],"itself":[168],"therefore":[170],"and,":[172],"if":[173],"spans":[175],"connected":[177],"range":[178],"couplings,":[180],"contains":[181],"point.":[184],"Unprojected":[185],"theory":[187,199],"Kitaev's":[189],"Majorana":[190],"representation":[191],"treats":[192],"alike.":[195],"Exact":[196],"second-order":[197],"perturbation":[198],"about":[200],"points":[203],"locates":[204],"asymmetry:":[206],"triangles":[208,219],"respond":[209],"identically":[210],"signs,":[213],"whereas":[214],"bonds":[217],"between":[218],"off-diagonal":[222],"terms":[224],"create":[225],"same":[227],"four":[228],"visons":[229],"interfere":[231],"constructively":[232],"almost":[236],"destructively":[237],"admixing":[241],"low-energy":[243],"four-vison":[244],"$82$":[246],"times":[247],"more":[248],"strongly":[249],"side.":[253],"PSG":[255],"results":[256],"rest":[257],"classification":[260],"$352$":[262],"with":[265],"spin-orbit-coupled":[266],"amplitudes,":[267],"also":[269],"identifies":[270],"partners":[273],"known":[276],"Schwinger-boson":[277],"liquids.":[279]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-23T00:00:00"}