{"id":"https://openalex.org/W4396640745","doi":"https://doi.org/10.1016/j.rinp.2024.107728","title":"Evidence of a significant full tripartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer","display_name":"Evidence of a significant full tripartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer","publication_year":2024,"publication_date":"2024-05-05","ids":{"openalex":"https://openalex.org/W4396640745","doi":"https://doi.org/10.1016/j.rinp.2024.107728"},"language":"en","primary_location":{"id":"doi:10.1016/j.rinp.2024.107728","doi":"https://doi.org/10.1016/j.rinp.2024.107728","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.rinp.2024.107728","pdf_url":null,"source":{"id":"https://openalex.org/S2764941219","display_name":"Results in Physics","issn_l":"2211-3797","issn":["2211-3797"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1","oarl","poland-70"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Results in Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1016/j.rinp.2024.107728","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069871004","display_name":"Hana Vargov\u00e1","orcid":"https://orcid.org/0000-0003-2000-7536","observed_orcids":["https://orcid.org/0000-0003-2000-7536"]},"institutions":[{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"government","lineage":["https://openalex.org/I207624831"]},{"id":"https://openalex.org/I4210091658","display_name":"Institute of Experimental Physics of the Slovak Academy of Sciences","ror":"https://ror.org/0046rz373","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210091658"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Hana Vargov\u00e1","raw_affiliation_strings":["Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, Ko\u0161ice, Slovakia"],"raw_orcid":"https://orcid.org/0000-0003-2000-7536","affiliations":[{"raw_affiliation_string":"Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210091658"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073126818","display_name":"Jozef Stre\u010dka","orcid":"https://orcid.org/0000-0003-1667-6841","observed_orcids":["https://orcid.org/0000-0003-1667-6841"]},"institutions":[{"id":"https://openalex.org/I204881574","display_name":"University of Pavol Jozef \u0160af\u00e1rik","ror":"https://ror.org/039965637","country_code":"SK","type":"education","lineage":["https://openalex.org/I204881574"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Jozef Stre\u010dka","raw_affiliation_strings":["Department of Theoretical Physics and Astrophysics, Faculty of Science, Pavol Jozef \u0160af\u00e1rik University, Park Angelinum 9, 040 01 Ko\u0161ice, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Physics and Astrophysics, Faculty of Science, Pavol Jozef \u0160af\u00e1rik University, Park Angelinum 9, 040 01 Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I204881574"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069871004"],"corresponding_institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210091658"],"apc_list":{"value":1690,"currency":"USD","value_usd":1690},"apc_paid":{"value":1690,"currency":"USD","value_usd":1690},"fwci":0.7972,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65110199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"61","issue":null,"first_page":"107728","last_page":"107728"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.7451000213623047,"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":0.7451000213623047,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.1543000042438507,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.04390000179409981,"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/tripartite-entanglement","display_name":"tripartite entanglement","score":0.9350000023841858},{"id":"https://openalex.org/keywords/external-magnetic-field","display_name":"external magnetic field","score":0.8569999933242798},{"id":"https://openalex.org/keywords/exchange-coupling","display_name":"exchange coupling","score":0.574999988079071},{"id":"https://openalex.org/keywords/ground-state-degeneracy","display_name":"ground state degeneracy","score":0.8410000205039978},{"id":"https://openalex.org/keywords/spin-dimers","display_name":"spin dimers","score":0.640999972820282}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.8951220512390137},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6863386034965515},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.5770317912101746},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5631780624389648},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.5208966732025146},{"id":"https://openalex.org/C2778870898","wikidata":"https://www.wikidata.org/wiki/Q7577658","display_name":"Spins","level":2,"score":0.4954177141189575},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3533669710159302},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0596158504486084},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.rinp.2024.107728","doi":"https://doi.org/10.1016/j.rinp.2024.107728","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.rinp.2024.107728","pdf_url":null,"source":{"id":"https://openalex.org/S2764941219","display_name":"Results in Physics","issn_l":"2211-3797","issn":["2211-3797"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1","oarl","poland-70"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Results in Physics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cefd5ded68bd40ce8e78dd8a2e446f85","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/cefd5ded68bd40ce8e78dd8a2e446f85","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Results in Physics, Vol 61, Iss , Pp 107728- (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1016/j.rinp.2024.107728","doi":"https://doi.org/10.1016/j.rinp.2024.107728","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.rinp.2024.107728","pdf_url":null,"source":{"id":"https://openalex.org/S2764941219","display_name":"Results in Physics","issn_l":"2211-3797","issn":["2211-3797"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1","oarl","poland-70"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Results in Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2587364718","display_name":"Teoretick\u00e9 \u0161t\u00fadium multifunk\u010dn\u00fdch kvantov\u00fdch n\u00edzko-rozmern\u00fdch magnetick\u00fdch materi\u00e1lov","funder_award_id":"1/0105/20","funder_id":"https://openalex.org/F4320323641","funder_display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV"},{"id":"https://openalex.org/G659700121","display_name":"Perspekt\u00edvne elektr\u00f3nov\u00e9 spinov\u00e9 syst\u00e9my pre bud\u00face kvantov\u00e9 technol\u00f3gie","funder_award_id":"APVV-20-0150","funder_id":"https://openalex.org/F4320323251","funder_display_name":"Agent\u00fara na Podporu V\u00fdskumu a V\u00fdvoja"}],"funders":[{"id":"https://openalex.org/F4320312330","display_name":"Slovensk\u00e1 Akad\u00e9mia Vied","ror":"https://ror.org/03h7qq074"},{"id":"https://openalex.org/F4320321779","display_name":"Ministerstvo \u0161kolstva, vedy, v\u00fdskumu a \u0161portu Slovenskej republiky","ror":"https://ror.org/044gwpv05"},{"id":"https://openalex.org/F4320323251","display_name":"Agent\u00fara na Podporu V\u00fdskumu a V\u00fdvoja","ror":"https://ror.org/037nx0e70"},{"id":"https://openalex.org/F4320323641","display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV","ror":"https://ror.org/044gwpv05"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1503834475","https://openalex.org/W1537349688","https://openalex.org/W1611828445","https://openalex.org/W1967462103","https://openalex.org/W1969674655","https://openalex.org/W1981501696","https://openalex.org/W1984004232","https://openalex.org/W1994015564","https://openalex.org/W1997556859","https://openalex.org/W2000407553","https://openalex.org/W2003989474","https://openalex.org/W2005868496","https://openalex.org/W2034251097","https://openalex.org/W2034743819","https://openalex.org/W2034920898","https://openalex.org/W2041057836","https://openalex.org/W2042723520","https://openalex.org/W2043491679","https://openalex.org/W2057601800","https://openalex.org/W2063635674","https://openalex.org/W2067055985","https://openalex.org/W2071862752","https://openalex.org/W2074696508","https://openalex.org/W2081624892","https://openalex.org/W2093856853","https://openalex.org/W2103282498","https://openalex.org/W2103713333","https://openalex.org/W2142695664","https://openalex.org/W2144126354","https://openalex.org/W2151926114","https://openalex.org/W2171823766","https://openalex.org/W2191728383","https://openalex.org/W2298945588","https://openalex.org/W2410458628","https://openalex.org/W2509949793","https://openalex.org/W2612121332","https://openalex.org/W2715946374","https://openalex.org/W2754750583","https://openalex.org/W2793360011","https://openalex.org/W3037687804","https://openalex.org/W3037737784","https://openalex.org/W3169583038","https://openalex.org/W3194343887","https://openalex.org/W3194964282","https://openalex.org/W3207710244","https://openalex.org/W4220693905","https://openalex.org/W4224006149","https://openalex.org/W4297999974","https://openalex.org/W4308970700","https://openalex.org/W4378516520","https://openalex.org/W4384469877","https://openalex.org/W4386418105"],"related_works":["https://openalex.org/W4389217521","https://openalex.org/W4407893937","https://openalex.org/W7093099291","https://openalex.org/W4414424117","https://openalex.org/W4384469877","https://openalex.org/W4378516520","https://openalex.org/W3039025259","https://openalex.org/W4407240061","https://openalex.org/W7123360387","https://openalex.org/W7204870882"],"abstract_inverted_index":{"We":[0,95],"rigorously":[1],"analyze":[2],"the":[3,14,45,59,78,83,88,111,120,133,142,146,152,156,166,170,175,201],"full":[4,52,137,178,186],"tripartite":[5,53,60,107,138,179,207],"entanglement":[6,54,108,115,139,180],"of":[7,16,24,68,80,82,87,122,136,177,185,204],"a":[8,32,65],"mixed":[9,26],"spin-(1/2,1)":[10,27],"Heisenberg":[11],"tetramer":[12,22],"in":[13,165,199],"presence":[15],"an":[17,123],"external":[18,124],"magnetic":[19,125,148],"field.":[20,126],"The":[21,51,127],"consists":[23],"two":[25],"dimers":[28],"arranged":[29],"to":[30,58,132],"form":[31],"square":[33],"plaquette,":[34],"with":[35,189],"distinct":[36],"exchange":[37],"couplings":[38],"J":[39],"and":[40,47,75,104,181],"J1":[41],"between":[42],"spins":[43],"from":[44],"same":[46],"different":[48],"dimers,":[49],"respectively.":[50],"is":[55],"classified":[56],"according":[57],"negativity":[61],"NABC":[62],"defined":[63],"as":[64],"geometric":[66],"mean":[67],"all":[69,205],"possible":[70],"bipartite":[71],"negativities":[72],"NA|BC,":[73],"NB|AC,":[74],"NC|AB,":[76],"when":[77],"degrees":[79],"freedom":[81],"fourth":[84],"spin":[85],"D":[86],"tetrapartite":[89],"system":[90],"ABCD":[91],"are":[92],"traced":[93],"out.":[94],"demonstrate":[96],"that":[97,164],"for":[98],"J1/J>1,":[99],"both":[100],"trimeric":[101],"subsystems":[102],"1/2-1-1":[103],"1/2-1/2-1":[105],"exhibit":[106],"mediated":[109],"through":[110],"central":[112],"spin.":[113],"This":[114],"becomes":[116],"more":[117],"robust":[118],"upon":[119],"application":[121],"opposite":[128],"limit":[129,168],"J1/J<1":[130],"leads":[131],"spontaneous":[134],"emergence":[135],"solely":[140],"within":[141],"subsystem":[143],"1/2-1-1.":[144],"However,":[145],"increasing":[147],"field":[149],"swiftly":[150],"disrupts":[151],"three-particle":[153],"correlation":[154],"across":[155],"relevant":[157],"ground-state":[158,171],"phase":[159],"boundary.":[160],"Additionally,":[161],"we":[162,197],"identify":[163],"isotropic":[167],"J1/J=1,":[169],"degeneracy":[172],"significantly":[173],"reduces":[174],"strength":[176],"favors":[182],"nontrivial":[183],"subtypes":[184],"nonseparable":[187,208],"states":[188],"none":[190],"or":[191],"just":[192],"one":[193],"spin-dimer":[194],"entanglement.":[195],"Finally,":[196],"discuss":[198],"detail":[200],"thermal":[202],"stability":[203],"fully":[206],"states.":[209]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2024-05-05T00:00:00"}