{"id":"https://openalex.org/W55980342","doi":null,"title":"Extremely correlated limit of the Hubbard model","display_name":"Extremely correlated limit of the Hubbard model","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W55980342","mag":"55980342"},"language":"en","primary_location":{"id":"pmh:oai:escholarship.org/ark:/13030/qt9c53h0w6","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/9c53h0w6","pdf_url":"https://escholarship.org/uc/item/9c53h0w6","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"etd"},"volume":null,"type":"dissertation","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/uc/item/9c53h0w6","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056078648","display_name":"Edward Perepelitsky","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Edward Perepelitsky","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5056078648"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.8651999831199646,"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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.8651999831199646,"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/T11804","display_name":"Quantum many-body systems","score":0.10140000283718109,"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/T10681","display_name":"Rare-earth and actinide compounds","score":0.010200000368058681,"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/hubbard-model","display_name":"Hubbard model","score":0.906000018119812},{"id":"https://openalex.org/keywords/self-energy","display_name":"self-energy","score":0.7369999885559082},{"id":"https://openalex.org/keywords/vertex-corrections","display_name":"vertex corrections","score":0.9789999723434448},{"id":"https://openalex.org/keywords/optical-conductivity","display_name":"optical conductivity","score":0.9829999804496765},{"id":"https://openalex.org/keywords/anderson-model","display_name":"Anderson model","score":0.9139999747276306},{"id":"https://openalex.org/keywords/t-j-model","display_name":"t-J model","score":0.9079999923706055},{"id":"https://openalex.org/keywords/spectral-function","display_name":"spectral function","score":0.9769999980926514},{"id":"https://openalex.org/keywords/high-temperature-thermal-expansion","display_name":"high-temperature expansion","score":0.9190000295639038},{"id":"https://openalex.org/keywords/dynamic-correlation-functions","display_name":"dynamical correlation functions","score":0.9610000252723694},{"id":"https://openalex.org/keywords/single-particle-green-s-function","display_name":"single-particle Green's function","score":0.8389999866485596}],"concepts":[{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.6874316930770874},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6322987675666809},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.5624163746833801},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.5380864143371582},{"id":"https://openalex.org/C106074065","wikidata":"https://www.wikidata.org/wiki/Q1571298","display_name":"Hubbard model","level":3,"score":0.5166154503822327},{"id":"https://openalex.org/C157470216","wikidata":"https://www.wikidata.org/wiki/Q7922778","display_name":"Vertex function","level":2,"score":0.49908447265625},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.4544409513473511},{"id":"https://openalex.org/C188234980","wikidata":"https://www.wikidata.org/wiki/Q4754237","display_name":"Anderson impurity model","level":3,"score":0.4451104700565338},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.4198409914970398},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.41850659251213074},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3842296004295349},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3441024422645569},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2702294588088989},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.26183754205703735},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.20775261521339417},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18664342164993286},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:escholarship.org/ark:/13030/qt9c53h0w6","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/9c53h0w6","pdf_url":"https://escholarship.org/uc/item/9c53h0w6","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"etd"},{"id":"mag:55980342","doi":null,"is_oa":false,"landing_page_url":"https://escholarship.org/content/qt9c53h0w6/qt9c53h0w6.pdf?t=n466s1","pdf_url":null,"source":{"id":"https://openalex.org/S4306522422","display_name":"PhDT","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"PhDT","raw_type":null}],"best_oa_location":{"id":"pmh:oai:escholarship.org/ark:/13030/qt9c53h0w6","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/9c53h0w6","pdf_url":"https://escholarship.org/uc/item/9c53h0w6","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"etd"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W55980342.pdf","grobid_xml":"https://content.openalex.org/works/W55980342.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2152851106","https://openalex.org/W1966313404","https://openalex.org/W1480691367","https://openalex.org/W2247363860","https://openalex.org/W4283833319","https://openalex.org/W7053136961","https://openalex.org/W1990694064","https://openalex.org/W4392781243","https://openalex.org/W2242242353","https://openalex.org/W2074294405"],"abstract_inverted_index":{"In":[0,26],"this":[1,65,134],"work,":[2],"we":[3,28,47,71,166],"describe":[4],"the":[5,8,20,31,49,52,57,73,79,91,98,102,119,123,128,144,148,172,180,207],"simplifications":[6],"to":[7,68,78,85,101,137,150,205,212],"Extremely":[9],"Correlated":[10],"Fermi":[11],"Liquid":[12],"Theory":[13,114],"(ECFL)":[14],"\\\\cite{ECFL,":[15],"Monster}":[16],"which":[17,184],"occur":[18],"in":[19,40,56,82,88,90,140,179,215],"limit":[21,58,92],"of":[22,42,51,59,75,93,122,175,199],"infinite":[23,60,94],"spatial":[24],"dimensions.":[25,95],"particular,":[27],"show":[29,132],"that":[30,133],"single-particle":[32,208],"electron":[33],"Green's":[34,209],"function":[35,146,210],"G(k)":[36,211],"can":[37],"be":[38],"written":[39],"terms":[41],"two":[43],"momentum-independent":[44],"self-energies.":[45],"Moreover,":[46],"elucidate":[48],"nature":[50],"ECFL":[53,99,120],"\\\\lambda":[54,89],"expansion":[55,66,174],"dimensions":[61],"and":[62,84,109,127,131,153,192],"carry":[63],"out":[64],"explicitly":[67],"O(\\\\lambda^2).":[69],"Additionally,":[70],"demonstrate":[72,110],"vanishing":[74],"vertex":[76],"corrections":[77],"optical":[80],"conductivity":[81],"general":[83],"each":[86,138],"order":[87,139,214],"We":[96,142,202],"generalize":[97],"formalism":[100,170],"infinite-U":[103,129,181],"Anderson":[104],"impurity":[105],"model":[106,126,183],"(AIM)":[107],",":[108],"a":[111,168,222],"Dynamical":[112],"Mean-Field":[113],"(DMFT)":[115],"like":[116],"mapping":[117,135],"between":[118],"objects":[121],"infinite-dimensional":[124],"t-J":[125],"AIM,":[130],"holds":[136],"\\\\lambda.":[141],"compute":[143],"spectral":[145],"for":[147,171,195,218],"AIM":[149],"O":[151],"(\\\\lambda^2)":[152],"make":[154],"comparisons":[155],"with":[156],"results":[157,194],"obtained":[158],"through":[159],"Numerical":[160],"Renormalization":[161],"Group":[162],"(NRG)":[163],"computations.":[164],"Finally,":[165],"develop":[167],"novel":[169],"high-temperature":[173],"dynamical":[176],"correlation":[177],"functions":[178],"Hubbard":[182],"is":[185],"more":[186],"efficient":[187],"than":[188],"any":[189],"used":[190],"previously":[191],"gives":[193],"an":[196],"arbitrary":[197],"number":[198],"spin":[200],"species.":[201],"use":[203],"it":[204],"calculate":[206],"fourth":[213],"(\\\\beta":[216],"t)":[217],"m":[219],"spin-species":[220],"on":[221],"d-dimensional":[223],"hypercube.":[224]},"counts_by_year":[],"updated_date":"2026-08-30T07:30:35.949966","created_date":"2016-06-24T00:00:00"}