{"id":"https://openalex.org/W2363766529","doi":null,"title":"Phase Transition of the Quantum Heisenberg Ferromagnetic Chain with Long-range Interactions","display_name":"Phase Transition of the Quantum Heisenberg Ferromagnetic Chain with Long-range Interactions","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2363766529","mag":"2363766529"},"language":"en","primary_location":{"id":"mag:2363766529","doi":null,"is_oa":false,"landing_page_url":"https://en.cnki.com.cn/Article_en/CJFDTOTAL-SXDR200703014.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764742440","display_name":"Journal of Shanxi University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4323289042","host_organization_name":"Shanxi University","host_organization_lineage":["https://openalex.org/P4323289042"],"host_organization_lineage_names":["Shanxi University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Shanxi University","raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5016061152","display_name":"Yonglin Zhao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I199305430","display_name":"Nantong University","ror":"https://ror.org/02afcvw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I199305430"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yonglin Zhao","raw_affiliation_strings":["School of Sciences, Nantong University, Nantong 226007, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Sciences, Nantong University, Nantong 226007, China","institution_ids":["https://openalex.org/I199305430"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016061152"],"corresponding_institution_ids":["https://openalex.org/I199305430"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36122152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T10591","display_name":"Theoretical and Computational Physics","score":0.7997999787330627,"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":0.7997999787330627,"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":0.13680000603199005,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.03449999913573265,"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/one-dimensional-spin-chain","display_name":"one-dimensional spin chain","score":0.7089999914169312},{"id":"https://openalex.org/keywords/long-range-interactions","display_name":"long-range interactions","score":0.9819999933242798},{"id":"https://openalex.org/keywords/finite-temperature-phase-transition","display_name":"finite-temperature phase transition","score":0.8349999785423279},{"id":"https://openalex.org/keywords/ferromagnetic-phase","display_name":"ferromagnetic phase","score":0.6880000233650208},{"id":"https://openalex.org/keywords/random-phase-approximation","display_name":"random phase approximation","score":0.8790000081062317},{"id":"https://openalex.org/keywords/green-s-function-method","display_name":"Green's function method","score":0.8230000138282776}],"concepts":[{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","level":2,"score":0.8257147073745728},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.6604650020599365},{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.658381462097168},{"id":"https://openalex.org/C16016025","wikidata":"https://www.wikidata.org/wiki/Q3861408","display_name":"Quantum Monte Carlo","level":3,"score":0.6485111117362976},{"id":"https://openalex.org/C201665358","wikidata":"https://www.wikidata.org/wiki/Q899196","display_name":"Heisenberg model","level":3,"score":0.5949153304100037},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5880043506622314},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5636582374572754},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5466644167900085},{"id":"https://openalex.org/C174771821","wikidata":"https://www.wikidata.org/wiki/Q780736","display_name":"Exchange interaction","level":3,"score":0.5233290195465088},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5232476592063904},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.513344943523407},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5078480839729309},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4786580801010132},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4013729393482208},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1782989501953125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1616232991218567},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.053378909826278687},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2363766529","doi":null,"is_oa":false,"landing_page_url":"https://en.cnki.com.cn/Article_en/CJFDTOTAL-SXDR200703014.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764742440","display_name":"Journal of Shanxi University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4323289042","host_organization_name":"Shanxi University","host_organization_lineage":["https://openalex.org/P4323289042"],"host_organization_lineage_names":["Shanxi University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Shanxi University","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2032005603","https://openalex.org/W2005821087","https://openalex.org/W2078424346","https://openalex.org/W1975950392","https://openalex.org/W2059814038","https://openalex.org/W1968176821","https://openalex.org/W2028684621","https://openalex.org/W7100355640","https://openalex.org/W2079186335","https://openalex.org/W2479262951"],"abstract_inverted_index":{"Within":[0],"a":[1,32,42],"random":[2],"phase":[3,33,44],"approximation,the":[4],"quantum":[5],"Heisenberg":[6],"ferromagnetic":[7,43],"chain":[8],"with":[9,56],"long-range":[10],"interaction":[11,25],"proportional":[12],"to":[13,41],"r-p":[14,28],"was":[15],"studied":[16],"by":[17],"Green-function":[18],"method.The":[19],"results":[20,52],"indicated":[21],"that":[22,38],"for":[23,29,50],"exchange":[24],"decaying":[26],"as":[27],"1p2,there":[30],"existed":[31],"transition":[34,40],"at":[35,45],"finite":[36,47],"temperature,and":[37],"no":[39],"any":[46],"temperature":[48],"occurs":[49],"p\u22652.The":[51],"are":[53],"reasonable":[54],"agreement":[55],"those":[57],"of":[58],"the":[59,64],"Monte":[60],"Carlo":[61],"calculations":[62],"and":[63],"other":[65],"theoretical":[66],"approaches.":[67]},"counts_by_year":[],"updated_date":"2026-10-01T08:54:57.152042","created_date":"2016-06-24T00:00:00"}
