{"id":"https://openalex.org/W7166703045","doi":"https://doi.org/10.48550/arxiv.2606.29242","title":"Winding-Sector Transitions and Thermodynamic Incommensurability in Helical Valence Bond Phase under Tilted Boundary Conditions","display_name":"Winding-Sector Transitions and Thermodynamic Incommensurability in Helical Valence Bond Phase under Tilted Boundary Conditions","publication_year":2026,"publication_date":"2026-06-28","ids":{"openalex":"https://openalex.org/W7166703045","doi":"https://doi.org/10.48550/arxiv.2606.29242"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2606.29242","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2606.29242","pdf_url":"https://arxiv.org/pdf/2606.29242","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2606.29242","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139657970","display_name":"Yan Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4391768224","display_name":"State Key Laboratory of Surface Physics","ror":"https://ror.org/000nbq540","country_code":"CN","type":"facility","lineage":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu, Yan","raw_affiliation_strings":["Department of Physics and State Key Laboratory of Surface Physics , Fudan University , Shanghai 200438 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and State Key Laboratory of Surface Physics , Fudan University , Shanghai 200438 , China","institution_ids":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100512393","display_name":"Jie Lou","orcid":"https://orcid.org/0000-0001-5036-0248","observed_orcids":["https://orcid.org/0000-0001-5036-0248"]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4391768224","display_name":"State Key Laboratory of Surface Physics","ror":"https://ror.org/000nbq540","country_code":"CN","type":"facility","lineage":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lou, Jie","raw_affiliation_strings":["Department of Physics and State Key Laboratory of Surface Physics , Fudan University , Shanghai 200438 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and State Key Laboratory of Surface Physics , Fudan University , Shanghai 200438 , China","institution_ids":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5139656712","display_name":"Yan Chen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4210103894","display_name":"Hefei National Center for Physical Sciences at Nanoscale","ror":"https://ror.org/01jeedh73","country_code":"CN","type":"facility","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366","https://openalex.org/I4210103894"]},{"id":"https://openalex.org/I4391768224","display_name":"State Key Laboratory of Surface Physics","ror":"https://ror.org/000nbq540","country_code":"CN","type":"facility","lineage":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen, Yan","raw_affiliation_strings":["Department of Physics and State Key Laboratory of Surface Physics , Fudan University , Shanghai 200438 , China","Shanghai Branch , Hefei National Laboratory , Shanghai 201315 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and State Key Laboratory of Surface Physics , Fudan University , Shanghai 200438 , China","institution_ids":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]},{"raw_affiliation_string":"Shanghai Branch , Hefei National Laboratory , Shanghai 201315 , P.R. China","institution_ids":["https://openalex.org/I4210103894"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.49950000643730164,"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":0.49950000643730164,"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":0.3463999927043915,"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":0.07779999822378159,"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/staircase-model","display_name":"staircase model","score":0.5410000085830688},{"id":"https://openalex.org/keywords/incommensurate-phase","display_name":"incommensurate phase","score":0.7279999852180481},{"id":"https://openalex.org/keywords/domain-wall-density","display_name":"domain wall density","score":0.9419999718666077},{"id":"https://openalex.org/keywords/commensurability","display_name":"commensurability","score":0.5410000085830688},{"id":"https://openalex.org/keywords/finite-size-effects","display_name":"finite-size effects","score":0.675000011920929},{"id":"https://openalex.org/keywords/ground-state","display_name":"ground state","score":0.4020000100135803},{"id":"https://openalex.org/keywords/s-1-2-spin-systems","display_name":"S=1/2 spin systems","score":0.6629999876022339}],"concepts":[{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5805000066757202},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.5569000244140625},{"id":"https://openalex.org/C168900304","wikidata":"https://www.wikidata.org/wiki/Q171407","display_name":"Valence (chemistry)","level":2,"score":0.5493999719619751},{"id":"https://openalex.org/C178429038","wikidata":"https://www.wikidata.org/wiki/Q517973","display_name":"Valence bond theory","level":4,"score":0.5351999998092651},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.45159998536109924},{"id":"https://openalex.org/C2776865275","wikidata":"https://www.wikidata.org/wiki/Q311666","display_name":"Projector","level":2,"score":0.44530001282691956},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.4442000091075897},{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.4253999888896942},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41370001435279846},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.40470001101493835},{"id":"https://openalex.org/C188324986","wikidata":"https://www.wikidata.org/wiki/Q7180938","display_name":"Phase boundary","level":3,"score":0.39890000224113464},{"id":"https://openalex.org/C156804444","wikidata":"https://www.wikidata.org/wiki/Q5532521","display_name":"Generalized valence bond","level":5,"score":0.3741999864578247},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.3702000081539154},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.350600004196167},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.34549999237060547},{"id":"https://openalex.org/C16016025","wikidata":"https://www.wikidata.org/wiki/Q3861408","display_name":"Quantum Monte Carlo","level":3,"score":0.34450000524520874},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3418999910354614},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.32919999957084656},{"id":"https://openalex.org/C193547582","wikidata":"https://www.wikidata.org/wiki/Q911331","display_name":"Molecular geometry","level":3,"score":0.326200008392334},{"id":"https://openalex.org/C146366752","wikidata":"https://www.wikidata.org/wiki/Q7269030","display_name":"Quantum critical point","level":4,"score":0.31150001287460327},{"id":"https://openalex.org/C54021167","wikidata":"https://www.wikidata.org/wiki/Q1103484","display_name":"Thermodynamic limit","level":2,"score":0.3018999993801117},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.30140000581741333},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.29420000314712524},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.26750001311302185},{"id":"https://openalex.org/C168907044","wikidata":"https://www.wikidata.org/wiki/Q7834431","display_name":"Transition point","level":2,"score":0.2644999921321869},{"id":"https://openalex.org/C41999313","wikidata":"https://www.wikidata.org/wiki/Q489328","display_name":"Molecular physics","level":1,"score":0.26030001044273376},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.2565000057220459},{"id":"https://openalex.org/C109496249","wikidata":"https://www.wikidata.org/wiki/Q657009","display_name":"Wave vector","level":2,"score":0.2549999952316284},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.25450000166893005}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2606.29242","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2606.29242","pdf_url":"https://arxiv.org/pdf/2606.29242","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.2606.29242","doi":"https://doi.org/10.48550/arxiv.2606.29242","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.29242","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:2606.29242","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2606.29242","pdf_url":"https://arxiv.org/pdf/2606.29242","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/G2998044070","display_name":null,"funder_award_id":"12274086","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3555966553","display_name":null,"funder_award_id":"12564021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5500951250","display_name":null,"funder_award_id":"2022YFA1404204","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8059750132","display_name":null,"funder_award_id":"2024ZD0300104","funder_id":"https://openalex.org/F4320329860","funder_display_name":"National Science and Technology Major Project"}],"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},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7166703045.pdf","grobid_xml":"https://content.openalex.org/works/W7166703045.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1462544206","https://openalex.org/W3028551221","https://openalex.org/W7161809987","https://openalex.org/W2932783091","https://openalex.org/W2164387206","https://openalex.org/W2077424308","https://openalex.org/W2361123895","https://openalex.org/W4390707142","https://openalex.org/W7163875398","https://openalex.org/W3086855320"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,6,14,32,58,68,72,85,90,96,108,124,141],"ground":[3],"states":[4],"of":[5,34,57,71],"$S":[7],"=":[8,159],"1/2$":[9],"staircase":[10],"$J$-$Q_3$":[11],"model":[12],"in":[13,31,123],"maximally":[15],"anisotropic":[16],"limit":[17],"by":[18,135],"employing":[19],"projector":[20],"quantum":[21],"Monte":[22],"Carlo":[23],"simulations.":[24],"To":[25],"overcome":[26],"boundary-induced":[27],"finite-size":[28,132],"ambiguities":[29],"inherent":[30],"study":[33],"spatially":[35],"modulated":[36],"structures,":[37],"we":[38,77,139],"implement":[39],"a":[40,62,114],"$45^{\\circ}$":[41],"tilted":[42],"periodic":[43],"boundary":[44,136],"condition":[45],"that":[46,83,107,128],"eliminates":[47],"intermediate":[48],"phases":[49],"and":[50,81,89,151],"provides":[51],"direct":[52],"access":[53],"to":[54,66,156],"winding-sector":[55,129],"transitions":[56,130],"system.":[59],"By":[60],"defining":[61],"domain":[63,86],"wall":[64,87],"density":[65,88],"quantify":[67],"spatial":[69],"modulation":[70],"helical":[73,109,152],"valence":[74,110,147,153],"bond":[75,111,148,154],"phase,":[76],"perform":[78],"thermodynamic":[79,125],"extrapolations":[80],"demonstrate":[82],"both":[84],"characteristic":[91],"wavevector":[92],"evolve":[93],"continuously":[94],"with":[95,119],"coupling":[97],"ratio,":[98],"exhibiting":[99],"no":[100],"commensurate":[101],"lock-in":[102],"behavior.":[103],"Our":[104],"results":[105],"establish":[106],"phase":[112,118,142,150,155],"is":[113],"genuine":[115],"two-dimensional":[116],"incommensurate":[117],"long-range":[120],"bond-bond":[121],"order":[122],"limit,":[126],"clarifying":[127],"are":[131],"effects":[133],"enforced":[134],"commensurability.":[137],"Furthermore,":[138],"determine":[140],"transition":[143],"point":[144],"between":[145],"columnar":[146],"solid":[149],"be":[157],"$g_c":[158],"0.046(2)$.":[160]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-07-01T00:00:00"}
