{"id":"https://openalex.org/W2008317504","doi":"https://doi.org/10.1103/physrevlett.17.1133","title":"Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models","display_name":"Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models","publication_year":1966,"publication_date":"1966-11-28","ids":{"openalex":"https://openalex.org/W2008317504","doi":"https://doi.org/10.1103/physrevlett.17.1133","mag":"2008317504"},"language":"en","primary_location":{"id":"doi:10.1103/physrevlett.17.1133","doi":"https://doi.org/10.1103/physrevlett.17.1133","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.17.1133","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","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051383394","display_name":"N. David Mermin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. D. Mermin","raw_affiliation_strings":["Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York","**Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"**Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":null,"display_name":"H. Wagner","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Wagner","raw_affiliation_strings":["Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York","**Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"**Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":14.3425,"has_fulltext":false,"cited_by_count":8356,"citation_normalized_percentile":{"value":0.99708596,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"17","issue":"22","first_page":"1133","last_page":"1136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9429000020027161,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9429000020027161,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.02019999921321869,"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":0.012000000104308128,"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/heisenberg-model","display_name":"Heisenberg model","score":0.8610000014305115},{"id":"https://openalex.org/keywords/ferromagnetism","display_name":"ferromagnetism","score":0.8209999799728394},{"id":"https://openalex.org/keywords/antiferromagnetism","display_name":"antiferromagnetism","score":1.0},{"id":"https://openalex.org/keywords/spin-chains","display_name":"spin chains","score":0.7170000076293945},{"id":"https://openalex.org/keywords/two-dimensional-spin-models","display_name":"two-dimensional spin systems","score":1.0},{"id":"https://openalex.org/keywords/spin-order","display_name":"spin ordering","score":0.6430000066757202}],"concepts":[{"id":"https://openalex.org/C155355069","wikidata":"https://www.wikidata.org/wiki/Q575224","display_name":"Antiferromagnetism","level":2,"score":0.9047904014587402},{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","level":2,"score":0.8665342926979065},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.8085542917251587},{"id":"https://openalex.org/C201665358","wikidata":"https://www.wikidata.org/wiki/Q899196","display_name":"Heisenberg model","level":3,"score":0.7457550764083862},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.7035677433013916},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.611858606338501},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.5384293794631958},{"id":"https://openalex.org/C174771821","wikidata":"https://www.wikidata.org/wiki/Q780736","display_name":"Exchange interaction","level":3,"score":0.5263018608093262},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5037421584129333},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.25978660583496094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15945041179656982},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08546259999275208},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1103/physrevlett.17.1133","doi":"https://doi.org/10.1103/physrevlett.17.1133","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.17.1133","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"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1964095231","https://openalex.org/W1978918009","https://openalex.org/W1993255105","https://openalex.org/W2036471154","https://openalex.org/W2060395581","https://openalex.org/W2113487168","https://openalex.org/W2318838671","https://openalex.org/W4206735147","https://openalex.org/W4247365710"],"related_works":["https://openalex.org/W1978106388","https://openalex.org/W2003589952","https://openalex.org/W3006266385","https://openalex.org/W2186432916","https://openalex.org/W1551837026","https://openalex.org/W1657486952","https://openalex.org/W3153109402","https://openalex.org/W2050357147","https://openalex.org/W2059002134","https://openalex.org/W1970227039"],"abstract_inverted_index":{"It":[0],"is":[1,31],"rigorously":[2],"proved":[3],"that":[4],"at":[5],"any":[6],"nonzero":[7],"temperature,":[8],"a":[9,35],"one-":[10],"or":[11],"two-dimensional":[12],"isotropic":[13],"spin-$S$":[14],"Heisenberg":[15],"model":[16],"with":[17],"finite-range":[18],"exchange":[19],"interaction":[20],"can":[21],"be":[22],"neither":[23],"ferromagnetic":[24],"nor":[25],"antiferromagnetic.":[26],"The":[27],"method":[28],"of":[29,33,37,39],"proof":[30],"capable":[32],"excluding":[34],"variety":[36],"types":[38],"ordering":[40],"in":[41],"one":[42],"and":[43],"two":[44],"dimensions.":[45]},"counts_by_year":[{"year":2026,"cited_by_count":315},{"year":2025,"cited_by_count":397},{"year":2024,"cited_by_count":437},{"year":2023,"cited_by_count":462},{"year":2022,"cited_by_count":452},{"year":2021,"cited_by_count":468},{"year":2020,"cited_by_count":504},{"year":2019,"cited_by_count":413},{"year":2018,"cited_by_count":286},{"year":2017,"cited_by_count":277},{"year":2016,"cited_by_count":250},{"year":2015,"cited_by_count":212},{"year":2014,"cited_by_count":201},{"year":2013,"cited_by_count":197},{"year":2012,"cited_by_count":182}],"updated_date":"2026-10-20T09:52:01.089006","created_date":"2025-10-10T00:00:00"}
