{"id":"https://openalex.org/W1992308858","doi":"https://doi.org/10.1007/s11128-013-0648-z","title":"The topological basis realization and the corresponding Heisenberg model of spin-1 chain","display_name":"The topological basis realization and the corresponding Heisenberg model of spin-1 chain","publication_year":2013,"publication_date":"2013-10-18","ids":{"openalex":"https://openalex.org/W1992308858","doi":"https://doi.org/10.1007/s11128-013-0648-z","mag":"1992308858"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-013-0648-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-013-0648-z","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"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/A5101792457","display_name":"Taotao Hu","orcid":"https://orcid.org/0000-0002-6188-8379"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Taotao Hu","raw_affiliation_strings":["School of Physics, Northeast Normal University, 130024 , Changchun, People\u2019s Republic of China","School of Physics, Northeast Normal University, 130024\u00a0, Changchun, People\u2019s Republic of China","School of Physics, Northeast Normal University, Changchun, People's Republic of China 130024"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics, Northeast Normal University, 130024 , Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics, Northeast Normal University, 130024\u00a0, Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, People's Republic of China 130024","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100777811","display_name":"Hang Ren","orcid":"https://orcid.org/0000-0003-2301-2445"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210088164","display_name":"Changchun Institute of Optics, Fine Mechanics and Physics","ror":"https://ror.org/012rct222","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210088164"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hang Ren","raw_affiliation_strings":["Key Laboratory of airborne Optical Imaging and Measurement, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 130033 , Changchun, People\u2019s Republic of China","Key Laboratory of airborne Optical Imaging and Measurement, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 130033\u00a0, Changchun, People\u2019s Republic of China","Key Laboratory of airborne Optical Imaging and Measurement, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, People's Republic of China 130033#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of airborne Optical Imaging and Measurement, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 130033 , Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210088164"]},{"raw_affiliation_string":"Key Laboratory of airborne Optical Imaging and Measurement, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 130033\u00a0, Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210088164"]},{"raw_affiliation_string":"Key Laboratory of airborne Optical Imaging and Measurement, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, People's Republic of China 130033#TAB#","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100511641","display_name":"Kang Xue","orcid":null},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kang Xue","raw_affiliation_strings":["School of Physics, Northeast Normal University, 130024 , Changchun, People\u2019s Republic of China","School of Physics, Northeast Normal University, 130024\u00a0, Changchun, People\u2019s Republic of China","School of Physics, Northeast Normal University, Changchun, People's Republic of China 130024"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics, Northeast Normal University, 130024 , Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics, Northeast Normal University, 130024\u00a0, Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, People's Republic of China 130024","institution_ids":["https://openalex.org/I184983240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101792457"],"corresponding_institution_ids":["https://openalex.org/I184983240"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":0.2138,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55347692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"2","first_page":"273","last_page":"282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9995999932289124,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9972000122070312,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.7554962635040283},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.6384267807006836},{"id":"https://openalex.org/keywords/spin","display_name":"Spin (aerodynamics)","score":0.6319956183433533},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.5956494212150574},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5757198333740234},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5541273951530457},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5127166509628296},{"id":"https://openalex.org/keywords/heisenberg-model","display_name":"Heisenberg model","score":0.4883544147014618},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.4832037687301636},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.4700835049152374},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.46178773045539856},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42561596632003784},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3831629157066345},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3575090169906616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31193673610687256},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.15951254963874817},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12099382281303406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11654946208000183},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0664137601852417}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.7554962635040283},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6384267807006836},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.6319956183433533},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5956494212150574},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5757198333740234},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5541273951530457},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5127166509628296},{"id":"https://openalex.org/C201665358","wikidata":"https://www.wikidata.org/wiki/Q899196","display_name":"Heisenberg model","level":3,"score":0.4883544147014618},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4832037687301636},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.4700835049152374},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.46178773045539856},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42561596632003784},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3831629157066345},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3575090169906616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31193673610687256},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.15951254963874817},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12099382281303406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11654946208000183},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0664137601852417},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-013-0648-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-013-0648-z","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1666552742","https://openalex.org/W1965998165","https://openalex.org/W1983117920","https://openalex.org/W1986358675","https://openalex.org/W1987817388","https://openalex.org/W1994510361","https://openalex.org/W1998591827","https://openalex.org/W1999764527","https://openalex.org/W1999801778","https://openalex.org/W2012022796","https://openalex.org/W2023643569","https://openalex.org/W2025368140","https://openalex.org/W2025473493","https://openalex.org/W2028343029","https://openalex.org/W2032070223","https://openalex.org/W2042261179","https://openalex.org/W2054097188","https://openalex.org/W2072865069","https://openalex.org/W2084850372","https://openalex.org/W2087024891","https://openalex.org/W2094389621","https://openalex.org/W2151642301","https://openalex.org/W2152240519","https://openalex.org/W2155365991","https://openalex.org/W2159478153","https://openalex.org/W2160288246","https://openalex.org/W2161708623","https://openalex.org/W2170787014","https://openalex.org/W2317586084","https://openalex.org/W2345419938","https://openalex.org/W2475574945","https://openalex.org/W2993931815","https://openalex.org/W3099757035","https://openalex.org/W3102596210","https://openalex.org/W3106087900","https://openalex.org/W4255075412"],"related_works":["https://openalex.org/W4382281260","https://openalex.org/W4226092092","https://openalex.org/W4221143630","https://openalex.org/W3121558291","https://openalex.org/W4390952833","https://openalex.org/W4385644215","https://openalex.org/W4387075962","https://openalex.org/W2297609635","https://openalex.org/W3188584133","https://openalex.org/W2009777231"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}