{"id":"https://openalex.org/W1967106943","doi":"https://doi.org/10.1103/physrevb.82.174411","title":"Many-body localization phase transition","display_name":"Many-body localization phase transition","publication_year":2010,"publication_date":"2010-11-09","ids":{"openalex":"https://openalex.org/W1967106943","doi":"https://doi.org/10.1103/physrevb.82.174411","mag":"1967106943"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.82.174411","doi":"https://doi.org/10.1103/physrevb.82.174411","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.82.174411","pdf_url":null,"source":{"id":"https://openalex.org/S6791298","display_name":"Physical Review B","issn_l":"1098-0121","issn":["1098-0121","1538-4489","1550-235X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1010.1992","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019484240","display_name":"Arijeet Pal","orcid":"https://orcid.org/0000-0001-8540-0748","observed_orcids":["https://orcid.org/0000-0001-8540-0748"]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arijeet Pal","raw_affiliation_strings":["Physics Department, Princeton University, Princeton, New Jersey 08544, USA","Physics Department, Princeton University, Princeton, New Jersey 08544 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department, Princeton University, Princeton, New Jersey 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Physics Department, Princeton University, Princeton, New Jersey 08544 USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069567119","display_name":"David A. Huse","orcid":"https://orcid.org/0000-0003-1008-5178","observed_orcids":["https://orcid.org/0000-0003-1008-5178"]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David A. Huse","raw_affiliation_strings":["Physics Department, Princeton University, Princeton, New Jersey 08544, USA","Physics Department, Princeton University, Princeton, New Jersey 08544 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department, Princeton University, Princeton, New Jersey 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Physics Department, Princeton University, Princeton, New Jersey 08544 USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":10.1367,"has_fulltext":false,"cited_by_count":1496,"citation_normalized_percentile":{"value":0.98896267,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"82","issue":"17","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9994999766349792,"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":0.9994999766349792,"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/T10591","display_name":"Theoretical and Computational Physics","score":9.999999747378752e-05,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.0,"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/many-body-localization","display_name":"many-body localization","score":0.9919999837875366},{"id":"https://openalex.org/keywords/localization-transition","display_name":"localization transition","score":0.8730000257492065},{"id":"https://openalex.org/keywords/quantum-phase-transitions","display_name":"quantum phase transitions","score":0.6399999856948853},{"id":"https://openalex.org/keywords/thermalization","display_name":"thermalization","score":0.5559999942779541},{"id":"https://openalex.org/keywords/ergodicity","display_name":"ergodicity","score":0.6970000267028809},{"id":"https://openalex.org/keywords/short-range-entanglement","display_name":"short-range entanglement","score":0.9179999828338623},{"id":"https://openalex.org/keywords/finite-size-scaling","display_name":"finite-size scaling","score":0.7570000290870667},{"id":"https://openalex.org/keywords/dynamical-exponent","display_name":"dynamical exponent","score":0.8199999928474426}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.7579520344734192},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.740409255027771},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6783512830734253},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6688164472579956},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6416501998901367},{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.6178792715072632},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6140475869178772},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.6106793284416199},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4655129909515381},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.45648667216300964},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.45053455233573914},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.42872852087020874},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.4193604588508606},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3594816327095032},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24861562252044678},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1103428304195404},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07097688317298889},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0666130781173706},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevb.82.174411","doi":"https://doi.org/10.1103/physrevb.82.174411","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.82.174411","pdf_url":null,"source":{"id":"https://openalex.org/S6791298","display_name":"Physical Review B","issn_l":"1098-0121","issn":["1098-0121","1538-4489","1550-235X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1010.1992","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1010.1992","pdf_url":"https://arxiv.org/pdf/1010.1992","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":"pmh:oai:eprints.ucl.ac.uk.OAI2:10084513","doi":null,"is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10084513/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physical Review B , 82 (17) , Article 174411. (2015)","raw_type":"Article"},{"id":"doi:10.48550/arxiv.1010.1992","doi":"https://doi.org/10.48550/arxiv.1010.1992","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1010.1992","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":"pmh:oai:arXiv.org:1010.1992","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1010.1992","pdf_url":"https://arxiv.org/pdf/1010.1992","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"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Affordable and clean energy","score":0.7799999713897705,"id":"https://metadata.un.org/sdg/7"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1488001281","https://openalex.org/W1600607675","https://openalex.org/W1970933202","https://openalex.org/W1972465356","https://openalex.org/W1979308046","https://openalex.org/W1986168108","https://openalex.org/W1989792517","https://openalex.org/W1990035338","https://openalex.org/W1999423794","https://openalex.org/W2000261560","https://openalex.org/W2034251480","https://openalex.org/W2039006229","https://openalex.org/W2065552177","https://openalex.org/W2067451604","https://openalex.org/W2070698475","https://openalex.org/W2071175471","https://openalex.org/W2073848376","https://openalex.org/W2079602089","https://openalex.org/W2083024011","https://openalex.org/W2086612234","https://openalex.org/W2093300793","https://openalex.org/W2094636343","https://openalex.org/W2144386605","https://openalex.org/W2172150080","https://openalex.org/W2264002775","https://openalex.org/W3102553373","https://openalex.org/W4308326495"],"related_works":["https://openalex.org/W4390962471","https://openalex.org/W3106283477","https://openalex.org/W3127252294","https://openalex.org/W1970626112","https://openalex.org/W2559080656","https://openalex.org/W1963605683","https://openalex.org/W1975672403","https://openalex.org/W2091197480","https://openalex.org/W2016636497","https://openalex.org/W3082610904"],"abstract_inverted_index":{"We":[0,15,62],"use":[1],"exact":[2],"diagonalization":[3],"to":[4],"explore":[5],"the":[6,17,39,54,65],"many-body":[7,21],"localization":[8,66],"transition":[9,67,80],"in":[10,45],"a":[11,90],"random-field":[12],"spin-1/2":[13],"chain.":[14],"examine":[16,69],"correlations":[18],"within":[19],"each":[20],"eigenstate,":[22],"looking":[23],"at":[24,32,81],"all":[25],"high-energy":[26],"states":[27],"and":[28,68],"thus":[29],"effectively":[30],"working":[31],"infinite":[33],"temperature.":[34],"For":[35,50],"weak":[36],"random":[37,52],"field":[38,53],"eigenstates":[40,55],"are":[41,56],"thermal,":[42],"as":[43],"expected":[44],"this":[46,77],"nonlocalized,":[47],"``ergodic''":[48],"phase.":[49],"strong":[51],"localized":[57],"with":[58,89],"only":[59],"short-range":[60],"entanglement.":[61],"roughly":[63],"locate":[64],"some":[70],"of":[71],"its":[72],"finite-size":[73],"scaling,":[74],"finding":[75],"that":[76],"quantum":[78],"phase":[79],"nonzero":[82],"temperature":[83],"might":[84],"be":[85],"showing":[86],"infinite-randomness":[87],"scaling":[88],"dynamic":[91],"critical":[92],"exponent":[93],"$z\\ensuremath{\\rightarrow}\\ensuremath{\\infty}$.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":53},{"year":2025,"cited_by_count":104},{"year":2024,"cited_by_count":88},{"year":2023,"cited_by_count":93},{"year":2022,"cited_by_count":141},{"year":2021,"cited_by_count":139},{"year":2020,"cited_by_count":145},{"year":2019,"cited_by_count":134},{"year":2018,"cited_by_count":125},{"year":2017,"cited_by_count":161},{"year":2016,"cited_by_count":123},{"year":2015,"cited_by_count":80},{"year":2014,"cited_by_count":51},{"year":2013,"cited_by_count":29},{"year":2012,"cited_by_count":16}],"updated_date":"2026-10-17T09:40:24.721904","created_date":"2025-10-10T00:00:00"}
