{"id":"https://openalex.org/W1990931331","doi":"https://doi.org/10.1103/physrevb.58.13830","title":"Addition spectra of arrays of interacting quantum dots: Dependence on array geometry and magnetic field","display_name":"Addition spectra of arrays of interacting quantum dots: Dependence on array geometry and magnetic field","publication_year":1998,"publication_date":"1998-11-15","ids":{"openalex":"https://openalex.org/W1990931331","doi":"https://doi.org/10.1103/physrevb.58.13830","mag":"1990931331"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.58.13830","doi":"https://doi.org/10.1103/physrevb.58.13830","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.58.13830","pdf_url":null,"source":{"id":"https://openalex.org/S4210174675","display_name":"Physical review. B, Condensed matter","issn_l":"0163-1829","issn":["0163-1829","1095-3795"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","ki-jl-2"],"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":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063847666","display_name":"Zhiming Yu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhiming Yu","raw_affiliation_strings":["Department of Physics and Astronomy, David Rittenhouse Laboratory, 209 South 33rd Street, University of Pennsylvania, Philadelphia, Pennsylvania 19104"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, David Rittenhouse Laboratory, 209 South 33rd Street, University of Pennsylvania, Philadelphia, Pennsylvania 19104","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022465363","display_name":"Alan T. Charlie Johnson","orcid":"https://orcid.org/0000-0002-5402-1224","observed_orcids":["https://orcid.org/0000-0002-5402-1224"]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. T. Johnson","raw_affiliation_strings":["Department of Physics and Astronomy, David Rittenhouse Laboratory, 209 South 33rd Street, University of Pennsylvania, Philadelphia, Pennsylvania 19104"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, David Rittenhouse Laboratory, 209 South 33rd Street, University of Pennsylvania, Philadelphia, Pennsylvania 19104","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006737289","display_name":"T. Heinzel","orcid":"https://orcid.org/0000-0001-5149-4379","observed_orcids":["https://orcid.org/0000-0001-5149-4379"]},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4405253320","display_name":"Laboratory for Solid State Physics","ror":"https://ror.org/00hwfrn96","country_code":"CH","type":"facility","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088","https://openalex.org/I4405253320"]},{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["CH","US"],"is_corresponding":false,"raw_author_name":"Thomas Heinzel","raw_affiliation_strings":["Department of Physics and Astronomy, David Rittenhouse Laboratory, 209 South 33rd Street, University of Pennsylvania, Philadelphia, Pennsylvania 19104","Solid State Physics Laboratory, ETH Zurich, 8093, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, David Rittenhouse Laboratory, 209 South 33rd Street, University of Pennsylvania, Philadelphia, Pennsylvania 19104","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Solid State Physics Laboratory, ETH Zurich, 8093, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088","https://openalex.org/I4405253320"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.13447101,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"58","issue":"20","first_page":"13830","last_page":"13834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.9955999851226807,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9955999851226807,"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/T10022","display_name":"Semiconductor Quantum Structures and Devices","score":0.0034000000450760126,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":9.999999747378752e-05,"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/quantum-dot-arrays","display_name":"quantum dot arrays","score":0.8849999904632568},{"id":"https://openalex.org/keywords/extended-hubbard-model","display_name":"extended Hubbard model","score":0.9819999933242798},{"id":"https://openalex.org/keywords/linear-chains","display_name":"linear chains","score":0.4560000002384186},{"id":"https://openalex.org/keywords/double-degeneracy","display_name":"double degeneracy","score":0.8130000233650208},{"id":"https://openalex.org/keywords/periodic-boundary-conditions","display_name":"periodic boundary conditions","score":0.7039999961853027},{"id":"https://openalex.org/keywords/perpendicular-magnetic-field","display_name":"perpendicular magnetic field","score":0.9570000171661377},{"id":"https://openalex.org/keywords/magnetic-flux-quantum","display_name":"magnetic flux quantum","score":0.7630000114440918},{"id":"https://openalex.org/keywords/charging-models","display_name":"charging models","score":0.6819999814033508},{"id":"https://openalex.org/keywords/interacting-quantum-dots","display_name":"interacting quantum dots","score":0.460999995470047}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7572718262672424},{"id":"https://openalex.org/C39197057","wikidata":"https://www.wikidata.org/wiki/Q2265632","display_name":"Magnetic flux quantum","level":4,"score":0.7405312657356262},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.719221830368042},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.6822994947433472},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.6804515719413757},{"id":"https://openalex.org/C106074065","wikidata":"https://www.wikidata.org/wiki/Q1571298","display_name":"Hubbard model","level":3,"score":0.643355131149292},{"id":"https://openalex.org/C124657808","wikidata":"https://www.wikidata.org/wiki/Q1133068","display_name":"Quantum dot","level":2,"score":0.6315330266952515},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5321456789970398},{"id":"https://openalex.org/C157479481","wikidata":"https://www.wikidata.org/wiki/Q177831","display_name":"Magnetic flux","level":3,"score":0.5260450839996338},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.5187954306602478},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.4862481355667114},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.4836660325527191},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4351632297039032},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.38541603088378906},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07813268899917603},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.06987068057060242},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1103/physrevb.58.13830","doi":"https://doi.org/10.1103/physrevb.58.13830","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.58.13830","pdf_url":null,"source":{"id":"https://openalex.org/S4210174675","display_name":"Physical review. B, Condensed matter","issn_l":"0163-1829","issn":["0163-1829","1095-3795"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","ki-jl-2"],"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"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306151","display_name":"Alfred P. Sloan Foundation","ror":"https://ror.org/052csg198"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1545541147","https://openalex.org/W1971132557","https://openalex.org/W1971345006","https://openalex.org/W1974442323","https://openalex.org/W1976251157","https://openalex.org/W1980849821","https://openalex.org/W1982322167","https://openalex.org/W1986508321","https://openalex.org/W1990026542","https://openalex.org/W1992741157","https://openalex.org/W1993053704","https://openalex.org/W1994033834","https://openalex.org/W2004145778","https://openalex.org/W2018640055","https://openalex.org/W2023395064","https://openalex.org/W2024720045","https://openalex.org/W2026110642","https://openalex.org/W2030466315","https://openalex.org/W2032432180","https://openalex.org/W2034474711","https://openalex.org/W2039081246","https://openalex.org/W2050316074","https://openalex.org/W2050637937","https://openalex.org/W2051936906","https://openalex.org/W2057863889","https://openalex.org/W2059030116","https://openalex.org/W2065672795","https://openalex.org/W2070256911","https://openalex.org/W2074529807","https://openalex.org/W2078362123","https://openalex.org/W2083969022","https://openalex.org/W2090437878","https://openalex.org/W2117686912","https://openalex.org/W2118703668","https://openalex.org/W2142750133","https://openalex.org/W2153220061"],"related_works":["https://openalex.org/W2010952880","https://openalex.org/W19998392","https://openalex.org/W3109312650","https://openalex.org/W1624380032","https://openalex.org/W2083969022","https://openalex.org/W2084498873","https://openalex.org/W2084426561","https://openalex.org/W2064089110","https://openalex.org/W2951773223","https://openalex.org/W2057718170"],"abstract_inverted_index":{"We":[0,24,69],"use":[1],"the":[2,8,30,35,40,54,66,71,75,95,117],"extended":[3],"Hubbard":[4,37,55],"model":[5,38,43,56],"to":[6,74],"calculate":[7],"addition":[9,31],"spectra":[10,32,96],"of":[11,17,50,77,102,119],"linear":[12,28],"chains":[13],"and":[14,20,39,108],"ring-shaped":[15],"arrays":[16],"three,":[18],"four,":[19],"five":[21],"quantum":[22,51,106,114,120],"dots.":[23,121],"find":[25],"that":[26,62],"for":[27],"arrays,":[29],"obtained":[33],"with":[34,99],"pure":[36,41],"charging":[42,67],"show":[44],"no":[45],"qualitative":[46],"differences.":[47],"For":[48],"rings":[49],"dots,":[52],"however,":[53],"always":[57],"produces":[58],"doubly":[59],"degenerate":[60],"states":[61],"are":[63,84,97],"absent":[64],"in":[65],"model.":[68],"attribute":[70],"double":[72],"degeneracy":[73],"presence":[76],"a":[78,87,100],"periodic":[79,98],"boundary":[80],"condition.":[81],"The":[82],"degeneracies":[83],"lifted":[85],"by":[86,116],"perpendicular":[88],"magnetic":[89,104,112],"field":[90],"$\\stackrel{\\ensuremath{\\rightarrow}}{B}.$":[91],"As":[92],"$\\stackrel{\\ensuremath{\\rightarrow}}{B}$":[93],"varies,":[94],"period":[101],"one":[103],"flux":[105,113],"${\\ensuremath{\\varphi}}_{0}=h/e$":[107],"symmetric":[109],"about":[110],"one-half":[111],"enclosed":[115],"ring":[118]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}