{"id":"https://openalex.org/W7213413787","doi":"https://doi.org/10.48550/arxiv.2609.16587","title":"Hartree-Fock Density-Matrix Renormalization Group for Very Long Chains","display_name":"Hartree-Fock Density-Matrix Renormalization Group for Very Long Chains","publication_year":2026,"publication_date":"2026-09-15","ids":{"openalex":"https://openalex.org/W7213413787","doi":"https://doi.org/10.48550/arxiv.2609.16587"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.16587","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.16587","pdf_url":"https://arxiv.org/pdf/2609.16587","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.16587","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046358965","display_name":"Steven R. White","orcid":"https://orcid.org/0000-0003-3496-0707","observed_orcids":["https://orcid.org/0000-0003-3496-0707"]},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"White, Steven R.","raw_affiliation_strings":["Department of Physics and Astronomy , University of California , Irvine , Irvine , CA 92697 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy , University of California , Irvine , Irvine , CA 92697 , USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046358965"],"corresponding_institution_ids":["https://openalex.org/I204250578"],"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/T10002","display_name":"Advanced Chemical Physics Studies","score":0.5737000107765198,"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/T10002","display_name":"Advanced Chemical Physics Studies","score":0.5737000107765198,"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/T11804","display_name":"Quantum many-body systems","score":0.4065000116825104,"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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.007199999876320362,"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/hartree-fock","display_name":"Hartree-Fock","score":0.9020000100135803},{"id":"https://openalex.org/keywords/density-matrix-renormalization-group","display_name":"density matrix renormalization group","score":0.9909999966621399},{"id":"https://openalex.org/keywords/long-chains","display_name":"long chains","score":0.6489999890327454},{"id":"https://openalex.org/keywords/slater-determinants","display_name":"Slater determinants","score":0.8650000095367432},{"id":"https://openalex.org/keywords/density-density-interactions","display_name":"density-density interactions","score":0.7490000128746033},{"id":"https://openalex.org/keywords/exchange","display_name":"exchange","score":0.5070000290870667},{"id":"https://openalex.org/keywords/long-range-coulomb-interaction","display_name":"long-range Coulomb interaction","score":0.8769999742507935},{"id":"https://openalex.org/keywords/state-compression","display_name":"state compression","score":0.5220000147819519},{"id":"https://openalex.org/keywords/large-scale-electronic-structure-calculations","display_name":"large-scale electronic structure calculations","score":0.4269999861717224}],"concepts":[{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.569599986076355},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.555400013923645},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5526000261306763},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.5461999773979187},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.5012999773025513},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.47510001063346863},{"id":"https://openalex.org/C155355069","wikidata":"https://www.wikidata.org/wiki/Q575224","display_name":"Antiferromagnetism","level":2,"score":0.47279998660087585},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4359999895095825},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43070000410079956},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.42080000042915344},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.41339999437332153},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.3970000147819519},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.38600000739097595},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3734999895095825},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.3474000096321106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3450999855995178},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C29547527","wikidata":"https://www.wikidata.org/wiki/Q5259335","display_name":"Density matrix renormalization group","level":3,"score":0.3330000042915344},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.3248000144958496},{"id":"https://openalex.org/C174771821","wikidata":"https://www.wikidata.org/wiki/Q780736","display_name":"Exchange interaction","level":3,"score":0.301800012588501},{"id":"https://openalex.org/C2778870898","wikidata":"https://www.wikidata.org/wiki/Q7577658","display_name":"Spins","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C113630233","wikidata":"https://www.wikidata.org/wiki/Q7879841","display_name":"Hartree\u2013Fock method","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.27570000290870667},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.26339998841285706},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.2612000107765198},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.258899986743927}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.16587","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.16587","pdf_url":"https://arxiv.org/pdf/2609.16587","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.2609.16587","doi":"https://doi.org/10.48550/arxiv.2609.16587","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.16587","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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.16587","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.16587","pdf_url":"https://arxiv.org/pdf/2609.16587","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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4216202000","display_name":"DMRG Studies of Strongly Correlated Systems","funder_award_id":"2412638","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337367","display_name":"Division of Materials Research","ror":"https://ror.org/01pc7k308"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213413787.pdf","grobid_xml":"https://content.openalex.org/works/W7213413787.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2281997213","https://openalex.org/W2734985625","https://openalex.org/W1994311211","https://openalex.org/W1998796587","https://openalex.org/W3142883630","https://openalex.org/W1507832687","https://openalex.org/W3024759871","https://openalex.org/W3102335965","https://openalex.org/W7095097640","https://openalex.org/W2794678671"],"abstract_inverted_index":{"We":[0,20,64],"formulate":[1],"Hartree--Fock":[2],"as":[3],"a":[4,11,16,34,68,84,91],"density-matrix":[5],"renormalization":[6],"group":[7],"(DMRG)":[8],"sweep":[9,31,99],"of":[10,70,93,109,123],"single":[12],"Slater":[13],"determinant,":[14],"assuming":[15],"density--density":[17],"electron--electron":[18],"interaction.":[19],"compress":[21],"the":[22,57,107],"occupied":[23],"state":[24],"and":[25,60,66,106,125,135],"long-range":[26,133],"interaction":[27,59],"separately,":[28],"reducing":[29],"each":[30],"step":[32],"to":[33,103,118],"small":[35],"local":[36],"Fock":[37],"problem.":[38],"Exchange":[39],"is":[40,100],"retained":[41],"throughout.":[42],"Uniform":[43],"antiferromagnetic":[44],"hydrogen":[45],"chains":[46],"provide":[47],"an":[48,139],"almost":[49],"ideal":[50],"setting":[51],"for":[52,112],"this":[53],"approach,":[54],"while":[55],"retaining":[56],"Coulomb":[58],"its":[61,94],"$1/r$":[62],"tail.":[63],"initialize":[65],"converge":[67],"chain":[69,104],"100,000":[71,119],"electrons":[72],"in":[73,79],"1.8":[74],"million":[75],"spatial":[76],"basis":[77],"functions":[78],"about":[80],"two":[81],"hours":[82],"on":[83,138],"64-GB":[85],"Mac":[86],"mini,":[87],"using":[88],"less":[89],"than":[90],"third":[92],"memory.":[95],"The":[96],"work":[97],"per":[98],"nearly":[101],"proportional":[102],"length,":[105],"number":[108],"sweeps":[110],"needed":[111],"convergence":[113],"changes":[114],"little":[115],"from":[116],"1000":[117],"atoms.":[120],"DMRG's":[121],"compression":[122],"states":[124],"environments":[126],"thus":[127],"makes":[128],"large":[129],"HF":[130],"calculations":[131],"with":[132],"Hartree":[134],"exchange":[136],"practical":[137],"ordinary":[140],"desktop":[141],"computer.":[142]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-17T00:00:00"}