{"id":"https://openalex.org/W3042691967","doi":"https://doi.org/10.3390/e22070780","title":"Pseudo-Yang-Lee Edge Singularity Critical Behavior in a Non-Hermitian Ising Model","display_name":"Pseudo-Yang-Lee Edge Singularity Critical Behavior in a Non-Hermitian Ising Model","publication_year":2020,"publication_date":"2020-07-17","ids":{"openalex":"https://openalex.org/W3042691967","doi":"https://doi.org/10.3390/e22070780","mag":"3042691967","pmid":"https://pubmed.ncbi.nlm.nih.gov/33286551"},"language":"en","primary_location":{"id":"doi:10.3390/e22070780","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22070780","pdf_url":"https://www.mdpi.com/1099-4300/22/7/780/pdf?version=1594970947","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/22/7/780/pdf?version=1594970947","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101482590","display_name":"Liang-Jun Zhai","orcid":"https://orcid.org/0000-0003-4483-689X"},"institutions":[{"id":"https://openalex.org/I4210144214","display_name":"Jiangsu University of Technology","ror":"https://ror.org/04jabhf80","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210144214"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang-Jun Zhai","raw_affiliation_strings":["The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China"],"raw_orcid":"https://orcid.org/0000-0003-4483-689X","affiliations":[{"raw_affiliation_string":"The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China","institution_ids":["https://openalex.org/I4210144214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083679603","display_name":"Guang-Yao Huang","orcid":"https://orcid.org/0000-0002-1073-9226"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guang-Yao Huang","raw_affiliation_strings":["Institute for Quantum Information &amp; State Key Laboratory of High Performance Computing, College of Computer, National University of Defense Technology, Changsha 410073, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Quantum Information &amp; State Key Laboratory of High Performance Computing, College of Computer, National University of Defense Technology, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100706684","display_name":"Huai\u2010Yu Wang","orcid":"https://orcid.org/0000-0001-9107-6120"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huai-Yu Wang","raw_affiliation_strings":["Department of Physics, Tsinghua University, Beijing 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100706684"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.2781,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.56660941,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"22","issue":"7","first_page":"780","last_page":"780"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/ising-model","display_name":"Ising model","score":0.7407126426696777},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.7398824691772461},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.7134475708007812},{"id":"https://openalex.org/keywords/critical-point","display_name":"Critical point (mathematics)","score":0.6467055678367615},{"id":"https://openalex.org/keywords/critical-exponent","display_name":"Critical exponent","score":0.6447669863700867},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6028721928596497},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.5610102415084839},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5435251593589783},{"id":"https://openalex.org/keywords/quantum-phase-transition","display_name":"Quantum phase transition","score":0.48871350288391113},{"id":"https://openalex.org/keywords/critical-phenomena","display_name":"Critical phenomena","score":0.48787927627563477},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4520610570907593},{"id":"https://openalex.org/keywords/quantum-critical-point","display_name":"Quantum critical point","score":0.4453519284725189},{"id":"https://openalex.org/keywords/ferromagnetism","display_name":"Ferromagnetism","score":0.4250481426715851},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.39392566680908203},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.3703910708427429},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.27699029445648193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26010653376579285},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17019233107566833},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10388624668121338}],"concepts":[{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.7407126426696777},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7398824691772461},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7134475708007812},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.6467055678367615},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.6447669863700867},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6028721928596497},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5610102415084839},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5435251593589783},{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.48871350288391113},{"id":"https://openalex.org/C194807282","wikidata":"https://www.wikidata.org/wiki/Q900634","display_name":"Critical phenomena","level":3,"score":0.48787927627563477},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4520610570907593},{"id":"https://openalex.org/C146366752","wikidata":"https://www.wikidata.org/wiki/Q7269030","display_name":"Quantum critical point","level":4,"score":0.4453519284725189},{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","level":2,"score":0.4250481426715851},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39392566680908203},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3703910708427429},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27699029445648193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26010653376579285},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17019233107566833},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10388624668121338}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e22070780","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22070780","pdf_url":"https://www.mdpi.com/1099-4300/22/7/780/pdf?version=1594970947","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33286551","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33286551","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:bf7b6e73fa9747db9e0f1c772c1b62da","is_oa":true,"landing_page_url":"https://doaj.org/article/bf7b6e73fa9747db9e0f1c772c1b62da","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,"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":"Entropy, Vol 22, Iss 7, p 780 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/22/7/780/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e22070780","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 22; Issue 7; Pages: 780","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7517342","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7517342","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e22070780","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22070780","pdf_url":"https://www.mdpi.com/1099-4300/22/7/780/pdf?version=1594970947","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2534316957","display_name":null,"funder_award_id":"11704161","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4749176839","display_name":null,"funder_award_id":"BK20170309","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G6663163153","display_name":null,"funder_award_id":"11547142","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W382441907","https://openalex.org/W1531935167","https://openalex.org/W1625951388","https://openalex.org/W1649271673","https://openalex.org/W1976288857","https://openalex.org/W1976463852","https://openalex.org/W1976576522","https://openalex.org/W1984210356","https://openalex.org/W1985314005","https://openalex.org/W1989865872","https://openalex.org/W1992333488","https://openalex.org/W1992904130","https://openalex.org/W1997323544","https://openalex.org/W2005290921","https://openalex.org/W2006953680","https://openalex.org/W2009768419","https://openalex.org/W2011909330","https://openalex.org/W2015027166","https://openalex.org/W2023445527","https://openalex.org/W2036523055","https://openalex.org/W2040036783","https://openalex.org/W2048640860","https://openalex.org/W2049412118","https://openalex.org/W2063234162","https://openalex.org/W2072467230","https://openalex.org/W2073923346","https://openalex.org/W2086031744","https://openalex.org/W2145827305","https://openalex.org/W2157723930","https://openalex.org/W2227075066","https://openalex.org/W2286173540","https://openalex.org/W2411481865","https://openalex.org/W2522470739","https://openalex.org/W2542909476","https://openalex.org/W2559397990","https://openalex.org/W2611085592","https://openalex.org/W2775352217","https://openalex.org/W2778618666","https://openalex.org/W2781491230","https://openalex.org/W2784208533","https://openalex.org/W2902147408","https://openalex.org/W2905315971","https://openalex.org/W2905960923","https://openalex.org/W2912830114","https://openalex.org/W2945565493","https://openalex.org/W2947800949","https://openalex.org/W2969503693","https://openalex.org/W3015588846","https://openalex.org/W3098097509","https://openalex.org/W3099539812","https://openalex.org/W3101229002","https://openalex.org/W3101604022","https://openalex.org/W3102396127","https://openalex.org/W3103309362","https://openalex.org/W3103931362","https://openalex.org/W3104668646","https://openalex.org/W3158406327","https://openalex.org/W4239702435","https://openalex.org/W6757127752"],"related_works":["https://openalex.org/W2075925605","https://openalex.org/W2093110000","https://openalex.org/W1671747015","https://openalex.org/W2060701819","https://openalex.org/W2155257934","https://openalex.org/W3100626118","https://openalex.org/W2008951643","https://openalex.org/W2761784057","https://openalex.org/W2049879551","https://openalex.org/W1984968250"],"abstract_inverted_index":{"The":[0,36],"quantum":[1],"phase":[2,76,143],"transition":[3,77,144],"of":[4,70,95,130],"a":[5,45,137],"one-dimensional":[6],"transverse":[7],"field":[8,15],"Ising":[9],"model":[10,97],"in":[11,30,163],"an":[12],"imaginary":[13],"longitudinal":[14],"is":[16,23,155],"studied.":[17],"A":[18],"new":[19],"order":[20],"parameter":[21],"M":[22,37,134,148,158],"introduced":[24],"to":[25,125,140],"describe":[26,126],"the":[27,31,42,61,65,72,89,96,105,111,127,142],"critical":[28,56,81,86,93,128],"behaviors":[29,129],"Yang-Lee":[32],"edge":[33],"singularity":[34],"(YLES).":[35],"does":[38],"not":[39],"diverge":[40],"at":[41],"YLES":[43,59,85,92,114,120],"point,":[44],"behavior":[46,57],"different":[47],"from":[48],"other":[49],"usual":[50],"parameters.":[51],"We":[52],"term":[53],"this":[54],"unusual":[55],"around":[58,145,152],"as":[60],"pseudo-YLES.":[62],"To":[63],"investigate":[64],"static":[66],"and":[67,88,117],"driven":[68],"dynamics":[69],"M,":[71,131],"(1+1)":[73,90,106,118],"dimensional":[74],"ferromagnetic-paramagnetic":[75],"((1+1)":[78],"D":[79,84,91,107,113,119],"FPPT)":[80],"region,":[82],"(0+1)":[83,112],"region":[87,94],"are":[98,123],"selected.":[99],"Our":[100],"numerical":[101],"study":[102],"shows":[103],"that":[104,133,157],"FPPT":[108],"scaling":[109,115,121],"theory,":[110],"theory":[116,122],"applicable":[124],"demonstrating":[132],"could":[135,159],"be":[136,160],"good":[138],"indicator":[139],"detect":[141],"YLES.":[146],"Since":[147],"has":[149],"finite":[150],"value":[151],"YLES,":[153],"it":[154],"expected":[156],"quantitatively":[161],"measured":[162],"experiments.":[164]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
