{"id":"https://openalex.org/W2000304263","doi":"https://doi.org/10.1088/1742-5468/2006/06/p06003","title":"Non-perturbative phenomena in the three-dimensional random field Ising model","display_name":"Non-perturbative phenomena in the three-dimensional random field Ising model","publication_year":2006,"publication_date":"2006-06-08","ids":{"openalex":"https://openalex.org/W2000304263","doi":"https://doi.org/10.1088/1742-5468/2006/06/p06003","mag":"2000304263"},"language":"en","primary_location":{"id":"doi:10.1088/1742-5468/2006/06/p06003","doi":"https://doi.org/10.1088/1742-5468/2006/06/p06003","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-5468/2006/06/p06003","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-5468/2006/06/P06003/pdf","source":{"id":"https://openalex.org/S167943036","display_name":"Journal of Statistical Mechanics Theory and Experiment","issn_l":"1742-5468","issn":["1742-5468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Statistical Mechanics: Theory and Experiment","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/1742-5468/2006/06/P06003/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110420177","display_name":"\u0412\u0438\u043a\u0442\u043e\u0440 \u0421\u0442\u0435\u043f\u0430\u043d\u043e\u0432\u0438\u0447 \u0414\u043e\u0446\u0435\u043d\u043a\u043e","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210140797","display_name":"Laboratoire de Physique Th\u00e9orique de la Mati\u00e8re Condens\u00e9e","ror":"https://ror.org/04zaaa143","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210098836","https://openalex.org/I4210140797"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Vik S Dotsenko","raw_affiliation_strings":["LPTMC, Universit\u00e9 Paris VI, 4 place Jussieu, 75252 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LPTMC, Universit\u00e9 Paris VI, 4 place Jussieu, 75252 Paris, France","institution_ids":["https://openalex.org/I4210140797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110420177"],"corresponding_institution_ids":["https://openalex.org/I4210140797"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.9168,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73022133,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"2006","issue":"06","first_page":"P06003","last_page":"P06003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9994999766349792,"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":0.9994999766349792,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11804","display_name":"Quantum many-body systems","score":9.999999747378752e-05,"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/random-field-ising-model","display_name":"random field Ising model","score":0.9980000257492065},{"id":"https://openalex.org/keywords/instantons","display_name":"instantons","score":0.8299999833106995},{"id":"https://openalex.org/keywords/saddle-point-equations","display_name":"saddle-point equations","score":0.8130000233650208},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"mean-field theory","score":0.7149999737739563},{"id":"https://openalex.org/keywords/marginal-cases","display_name":"marginal cases","score":0.39399999380111694},{"id":"https://openalex.org/keywords/three-dimensional-phase-transitions","display_name":"three-dimensional phase transitions","score":0.6629999876022339},{"id":"https://openalex.org/keywords/ferromagnetic-phase","display_name":"ferromagnetic phase","score":0.7910000085830688}],"concepts":[{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.7605000138282776},{"id":"https://openalex.org/C2775937380","wikidata":"https://www.wikidata.org/wiki/Q1232589","display_name":"Replica","level":2,"score":0.5824999809265137},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5720999836921692},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5260999798774719},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5169000029563904},{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","level":2,"score":0.4943999946117401},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.4943999946117401},{"id":"https://openalex.org/C125198404","wikidata":"https://www.wikidata.org/wiki/Q1192916","display_name":"Instanton","level":2,"score":0.4706000089645386},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4449000060558319},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.39809998869895935},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.3961000144481659},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3862000107765198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3741999864578247},{"id":"https://openalex.org/C49005734","wikidata":"https://www.wikidata.org/wiki/Q7581981","display_name":"Square-lattice Ising model","level":3,"score":0.3490000069141388},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3481000065803528},{"id":"https://openalex.org/C194807282","wikidata":"https://www.wikidata.org/wiki/Q900634","display_name":"Critical phenomena","level":3,"score":0.33899998664855957},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3237000107765198},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3183000087738037},{"id":"https://openalex.org/C26445502","wikidata":"https://www.wikidata.org/wiki/Q503658","display_name":"Replica trick","level":3,"score":0.3116999864578247},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.2897999882698059},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.28139999508857727},{"id":"https://openalex.org/C2986087423","wikidata":"https://www.wikidata.org/wiki/Q487756","display_name":"Specific heat","level":2,"score":0.27570000290870667},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.2655999958515167},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C106074065","wikidata":"https://www.wikidata.org/wiki/Q1571298","display_name":"Hubbard model","level":3,"score":0.2572999894618988}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1088/1742-5468/2006/06/p06003","doi":"https://doi.org/10.1088/1742-5468/2006/06/p06003","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-5468/2006/06/p06003","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-5468/2006/06/P06003/pdf","source":{"id":"https://openalex.org/S167943036","display_name":"Journal of Statistical Mechanics Theory and Experiment","issn_l":"1742-5468","issn":["1742-5468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Statistical Mechanics: Theory and Experiment","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:cond-mat/0603713","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/0603713","pdf_url":"https://arxiv.org/pdf/cond-mat/0603713","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.cond-mat/0603713","doi":"https://doi.org/10.48550/arxiv.cond-mat/0603713","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.cond-mat/0603713","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1088/1742-5468/2006/06/p06003","doi":"https://doi.org/10.1088/1742-5468/2006/06/p06003","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-5468/2006/06/p06003","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-5468/2006/06/P06003/pdf","source":{"id":"https://openalex.org/S167943036","display_name":"Journal of Statistical Mechanics Theory and Experiment","issn_l":"1742-5468","issn":["1742-5468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Statistical Mechanics: Theory and Experiment","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000304263.pdf","grobid_xml":"https://content.openalex.org/works/W2000304263.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1963611368","https://openalex.org/W1982563969","https://openalex.org/W1986905200","https://openalex.org/W1990076610","https://openalex.org/W2004178500","https://openalex.org/W2007659763","https://openalex.org/W2008364652","https://openalex.org/W2014186416","https://openalex.org/W2030897797","https://openalex.org/W2036045810","https://openalex.org/W2040899617","https://openalex.org/W2049411723","https://openalex.org/W2056030222","https://openalex.org/W2057460263","https://openalex.org/W2062403608","https://openalex.org/W2067401295","https://openalex.org/W2070101293","https://openalex.org/W2076155220","https://openalex.org/W2082373692","https://openalex.org/W2106483064"],"related_works":[],"abstract_inverted_index":{"A":[0],"systematic":[1],"approach":[2],"to":[3,10,34,82],"the":[4,7,11,15,19,53,62,65,70,83,88,97,103,113,117],"calculations":[5],"of":[6,18,64,87,112],"non-perturbative":[8],"contributions":[9,31],"free":[12],"energy":[13],"in":[14,38,43,91,116],"ferromagnetic":[16],"phase":[17,114],"random":[20,119],"field":[21,120],"Ising":[22,121],"model":[23,122],"is":[24,27,48,107,123],"developed.":[25],"It":[26,47],"demonstrated":[28],"that":[29,50],"such":[30,56],"appear":[32],"due":[33],"instanton-like":[35],"excitations":[36],"localized":[37],"space,":[39],"which":[40],"exist":[41],"only":[42,84],"dimensions":[44,92],"D":[45,94,100],"\u22643.":[46],"shown":[49],"away":[51],"from":[52],"critical":[54],"region":[55],"instanton":[57],"solutions":[58],"are":[59],"described":[60],"by":[61],"set":[63],"mean-field":[66],"saddle-point":[67,85],"equations":[68,77],"for":[69],"replica":[71],"vector":[72],"order":[73],"parameter,":[74],"and":[75],"these":[76],"can":[78],"be":[79],"formally":[80],"reduced":[81],"equation":[86],"pure":[89],"system":[90],"(":[93],"\u22122).":[95],"In":[96],"marginal":[98],"case,":[99],"=":[101],"3,":[102],"corresponding":[104],"non-analytic":[105],"contribution":[106],"computed":[108],"explicitly.":[109],"The":[110],"nature":[111],"transition":[115],"three-dimensional":[118],"discussed.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
