{"id":"https://openalex.org/W4399302246","doi":"https://doi.org/10.1103/physrevb.109.245401","title":"Extended Hubbard model describing small multidot arrays in bilayer graphene","display_name":"Extended Hubbard model describing small multidot arrays in bilayer graphene","publication_year":2024,"publication_date":"2024-06-03","ids":{"openalex":"https://openalex.org/W4399302246","doi":"https://doi.org/10.1103/physrevb.109.245401"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.109.245401","doi":"https://doi.org/10.1103/physrevb.109.245401","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.109.245401","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","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/2401.09898","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075837477","display_name":"Angelika Knothe","orcid":"https://orcid.org/0000-0003-4488-5958","observed_orcids":["https://orcid.org/0000-0003-4488-5958"]},"institutions":[{"id":"https://openalex.org/I60668342","display_name":"University of Regensburg","ror":"https://ror.org/01eezs655","country_code":"DE","type":"education","lineage":["https://openalex.org/I60668342"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Angelika Knothe","raw_affiliation_strings":["Universit\u00e4t Regensburg"],"raw_orcid":"https://orcid.org/0000-0003-4488-5958","affiliations":[{"raw_affiliation_string":"Universit\u00e4t Regensburg","institution_ids":["https://openalex.org/I60668342"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035898505","display_name":"Guido Burkard","orcid":"https://orcid.org/0000-0001-9053-2200","observed_orcids":["https://orcid.org/0000-0001-9053-2200"]},"institutions":[{"id":"https://openalex.org/I189712700","display_name":"University of Konstanz","ror":"https://ror.org/0546hnb39","country_code":"DE","type":"education","lineage":["https://openalex.org/I189712700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Guido Burkard","raw_affiliation_strings":["University of Konstanz","Department of Physics, University of Konstanz, D-78457 Konstanz, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Konstanz","institution_ids":["https://openalex.org/I189712700"]},{"raw_affiliation_string":"Department of Physics, University of Konstanz, D-78457 Konstanz, Germany","institution_ids":["https://openalex.org/I189712700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.577,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.83184333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"109","issue":"24","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.9291999936103821,"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":0.9291999936103821,"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/T10083","display_name":"Graphene research and applications","score":0.06449999660253525,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10275","display_name":"2D Materials and Applications","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/extended-hubbard-model","display_name":"extended Hubbard model","score":0.8320000171661377},{"id":"https://openalex.org/keywords/bilayer-graphene","display_name":"bilayer graphene","score":0.8190000057220459},{"id":"https://openalex.org/keywords/quantum-dots","display_name":"quantum dots","score":0.7260000109672546},{"id":"https://openalex.org/keywords/spin-multiplets","display_name":"spin multiplets","score":0.8489999771118164},{"id":"https://openalex.org/keywords/effective-exchange-interaction","display_name":"effective exchange interaction","score":0.8270000219345093},{"id":"https://openalex.org/keywords/electrostatic-interactions","display_name":"electrostatic interactions","score":0.7149999737739563},{"id":"https://openalex.org/keywords/heisenberg-model","display_name":"Heisenberg model","score":0.8410000205039978},{"id":"https://openalex.org/keywords/band-gap","display_name":"band gap","score":0.5690000057220459}],"concepts":[{"id":"https://openalex.org/C106074065","wikidata":"https://www.wikidata.org/wiki/Q1571298","display_name":"Hubbard model","level":3,"score":0.6988710165023804},{"id":"https://openalex.org/C143401881","wikidata":"https://www.wikidata.org/wiki/Q4156171","display_name":"Bilayer graphene","level":3,"score":0.680403470993042},{"id":"https://openalex.org/C30080830","wikidata":"https://www.wikidata.org/wiki/Q169917","display_name":"Graphene","level":2,"score":0.5600574016571045},{"id":"https://openalex.org/C192157962","wikidata":"https://www.wikidata.org/wiki/Q4087243","display_name":"Bilayer","level":3,"score":0.41464167833328247},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.3593929409980774},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3572413921356201},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3479851186275482},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33667537569999695},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.13740426301956177},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.08547478914260864},{"id":"https://openalex.org/C41625074","wikidata":"https://www.wikidata.org/wiki/Q176088","display_name":"Membrane","level":2,"score":0.048429906368255615},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1103/physrevb.109.245401","doi":"https://doi.org/10.1103/physrevb.109.245401","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.109.245401","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","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:epub.uni-regensburg.de:59018","doi":null,"is_oa":false,"landing_page_url":"http://orcid.org/0000-0003-4488-5958>","pdf_url":null,"source":{"id":"https://openalex.org/S4306401229","display_name":"University of Regensburg Publication Server (University of Regensburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I60668342","host_organization_name":"University of Regensburg","host_organization_lineage":["https://openalex.org/I60668342"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:2401.09898","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2401.09898","pdf_url":"https://arxiv.org/pdf/2401.09898","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.2401.09898","doi":"https://doi.org/10.48550/arxiv.2401.09898","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2401.09898","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":"article-journal"},{"id":"doi:10.5283/epub.59018","doi":"https://doi.org/10.5283/epub.59018","is_oa":true,"landing_page_url":"https://doi.org/10.5283/epub.59018","pdf_url":null,"source":{"id":"https://openalex.org/S4306401229","display_name":"University of Regensburg Publication Server (University of Regensburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I60668342","host_organization_name":"University of Regensburg","host_organization_lineage":["https://openalex.org/I60668342"],"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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2401.09898","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2401.09898","pdf_url":"https://arxiv.org/pdf/2401.09898","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/G1172251598","display_name":null,"funder_award_id":"KN 1383/4","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8686099639","display_name":"SFB 1277: Emergente relativistische Effekte in der Kondensierten Materie: Von grundlegenden Aspekten zu elektronischer Funktionalit\u00e4t","funder_award_id":"314695032","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8958979596","display_name":"Die Punkte verbinden: Skalierung und Kopplung von Quantenpunkten in zweischichtigem Graphen f\u00fcr zuk\u00fcnftige Quantentechnologien","funder_award_id":"529637137","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":136,"referenced_works":["https://openalex.org/W1617879573","https://openalex.org/W1765034111","https://openalex.org/W1895614612","https://openalex.org/W1927013505","https://openalex.org/W1964901447","https://openalex.org/W1968626831","https://openalex.org/W1969330573","https://openalex.org/W1978971987","https://openalex.org/W1988837113","https://openalex.org/W1998932243","https://openalex.org/W1999537840","https://openalex.org/W2006041413","https://openalex.org/W2007494645","https://openalex.org/W2012450830","https://openalex.org/W2016669588","https://openalex.org/W2029044655","https://openalex.org/W2041730504","https://openalex.org/W2045286035","https://openalex.org/W2046775071","https://openalex.org/W2073813262","https://openalex.org/W2075212320","https://openalex.org/W2075972597","https://openalex.org/W2081063378","https://openalex.org/W2081219547","https://openalex.org/W2083352185","https://openalex.org/W2085292691","https://openalex.org/W2090516883","https://openalex.org/W2091787468","https://openalex.org/W2103282498","https://openalex.org/W2114868368","https://openalex.org/W2117344518","https://openalex.org/W2132568564","https://openalex.org/W2134793056","https://openalex.org/W2168249637","https://openalex.org/W2168434840","https://openalex.org/W2336764616","https://openalex.org/W2508920067","https://openalex.org/W2618194950","https://openalex.org/W2727089509","https://openalex.org/W2728268231","https://openalex.org/W2740725503","https://openalex.org/W2751557833","https://openalex.org/W2765495747","https://openalex.org/W2775415419","https://openalex.org/W2776110889","https://openalex.org/W2785261528","https://openalex.org/W2788743091","https://openalex.org/W2789806238","https://openalex.org/W2791723705","https://openalex.org/W2794500485","https://openalex.org/W2801703293","https://openalex.org/W2885357184","https://openalex.org/W2891111053","https://openalex.org/W2891368223","https://openalex.org/W2907096571","https://openalex.org/W2940797562","https://openalex.org/W2989753274","https://openalex.org/W3000238640","https://openalex.org/W3007661763","https://openalex.org/W3008020171","https://openalex.org/W3008889815","https://openalex.org/W3009439509","https://openalex.org/W3009826169","https://openalex.org/W3034195049","https://openalex.org/W3034327170","https://openalex.org/W3041653883","https://openalex.org/W3047122644","https://openalex.org/W3047836692","https://openalex.org/W3083935729","https://openalex.org/W3084087676","https://openalex.org/W3097662113","https://openalex.org/W3101022347","https://openalex.org/W3102171976","https://openalex.org/W3104200213","https://openalex.org/W3111736549","https://openalex.org/W3112079877","https://openalex.org/W3112135735","https://openalex.org/W3114311317","https://openalex.org/W3118253557","https://openalex.org/W3119357307","https://openalex.org/W3119467846","https://openalex.org/W3138034449","https://openalex.org/W3159993637","https://openalex.org/W3160130021","https://openalex.org/W3160162810","https://openalex.org/W3165476236","https://openalex.org/W3169879708","https://openalex.org/W3170793807","https://openalex.org/W3192846017","https://openalex.org/W3195315721","https://openalex.org/W3198312070","https://openalex.org/W3216837716","https://openalex.org/W4221054118","https://openalex.org/W4221155183","https://openalex.org/W4226262498","https://openalex.org/W4226303405","https://openalex.org/W4226408614","https://openalex.org/W4281566637","https://openalex.org/W4282939051","https://openalex.org/W4283076396","https://openalex.org/W4283515950","https://openalex.org/W4309046954","https://openalex.org/W4310626954","https://openalex.org/W4310811015","https://openalex.org/W4311539844","https://openalex.org/W4317899723","https://openalex.org/W4318988373","https://openalex.org/W4320913092","https://openalex.org/W4322493019","https://openalex.org/W4361190280","https://openalex.org/W4367841718","https://openalex.org/W4380590907","https://openalex.org/W4383533292","https://openalex.org/W4385579784","https://openalex.org/W4385977625","https://openalex.org/W4386221797","https://openalex.org/W4386812932","https://openalex.org/W4386888102","https://openalex.org/W4387898461","https://openalex.org/W4387971696","https://openalex.org/W4388070715","https://openalex.org/W4388525219","https://openalex.org/W4388699239","https://openalex.org/W4389160750","https://openalex.org/W4389305569","https://openalex.org/W4389555447","https://openalex.org/W4389993746","https://openalex.org/W4390498467","https://openalex.org/W4390739704","https://openalex.org/W4390948272","https://openalex.org/W4391471696","https://openalex.org/W4391576805","https://openalex.org/W4393386321","https://openalex.org/W4393970464","https://openalex.org/W4394693014","https://openalex.org/W4396797634"],"related_works":["https://openalex.org/W3008020171","https://openalex.org/W2964677525","https://openalex.org/W2005206243","https://openalex.org/W2604618372","https://openalex.org/W3169879708","https://openalex.org/W3101022347","https://openalex.org/W3160162810","https://openalex.org/W4387898461","https://openalex.org/W6910004963","https://openalex.org/W3034327170"],"abstract_inverted_index":{"We":[0,24],"set":[1],"up":[2],"and":[3,15,31,36,44,52,62,65,74,79,85],"parametrize":[4,86],"a":[5],"Hubbard":[6,34],"model":[7,90],"for":[8,70,91],"interacting":[9],"quantum":[10,93],"dots":[11,18],"in":[12],"bilayer":[13],"graphene":[14],"study":[16],"double":[17],"as":[19],"the":[20,26,29,45,50,59,92],"smallest":[21],"multidot":[22],"system.":[23],"demonstrate":[25],"tunability":[27],"of":[28],"spin":[30,61],"valley":[32,63,81],"multiplets,":[33],"parameters,":[35],"effective":[37,88],"exchange":[38],"interaction":[39],"by":[40],"electrostatic":[41],"gate":[42],"potentials":[43],"magnetic":[46],"field.":[47],"Considering":[48],"both":[49],"long-":[51],"short-range":[53],"Coulomb":[54],"interactions,":[55],"we":[56,83],"map":[57],"out":[58],"various":[60],"multiplets":[64],"calculate":[66],"their":[67],"energy":[68],"gaps":[69],"different":[71],"dot":[72,94],"sizes":[73],"interdot":[75],"separations.":[76],"For":[77],"half-filling":[78],"large":[80],"splittings,":[82],"derive":[84],"an":[87],"Heisenberg":[89],"spins.":[95]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2024-06-04T00:00:00"}
