{"id":"https://openalex.org/W2488257813","doi":"https://doi.org/10.1137/16m1088363","title":"Electronic Density of States for Incommensurate Layers","display_name":"Electronic Density of States for Incommensurate Layers","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2488257813","doi":"https://doi.org/10.1137/16m1088363","mag":"2488257813"},"language":"en","primary_location":{"id":"doi:10.1137/16m1088363","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1088363","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1608.01968","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027811873","display_name":"Daniel Massatt","orcid":"https://orcid.org/0000-0003-0526-4892"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I4210101327","display_name":"Twin Cities Orthopedics","ror":"https://ror.org/01en4s460","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210101327"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Massatt","raw_affiliation_strings":["University of Minnesota\u2010Twin Cities"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Minnesota\u2010Twin Cities","institution_ids":["https://openalex.org/I4210101327","https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036018970","display_name":"Mitchell Luskin","orcid":"https://orcid.org/0000-0003-1981-199X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mitchell Luskin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5061841111","display_name":"Christoph Ortner","orcid":"https://orcid.org/0000-0003-1498-8120"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Christoph Ortner","raw_affiliation_strings":["University of Warwick"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warwick","institution_ids":["https://openalex.org/I39555362"]}]}],"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":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0012246,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"1","first_page":"476","last_page":"499"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9998999834060669,"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":0.9998000264167786,"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/T12588","display_name":"Electronic and Structural Properties of Oxides","score":0.9995999932289124,"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/supercell","display_name":"Supercell","score":0.8178404569625854},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6485735177993774},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5897544026374817},{"id":"https://openalex.org/keywords/electronic-structure","display_name":"Electronic structure","score":0.5711049437522888},{"id":"https://openalex.org/keywords/bloch-wave","display_name":"Bloch wave","score":0.5478560328483582},{"id":"https://openalex.org/keywords/density-functional-theory","display_name":"Density functional theory","score":0.4817673861980438},{"id":"https://openalex.org/keywords/density-of-states","display_name":"Density of states","score":0.453738808631897},{"id":"https://openalex.org/keywords/heterojunction","display_name":"Heterojunction","score":0.43983685970306396},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40707582235336304},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.3894977867603302},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36380380392074585},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.289499968290329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2854742705821991},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14983370900154114}],"concepts":[{"id":"https://openalex.org/C136498428","wikidata":"https://www.wikidata.org/wiki/Q747894","display_name":"Supercell","level":3,"score":0.8178404569625854},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6485735177993774},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5897544026374817},{"id":"https://openalex.org/C86025842","wikidata":"https://www.wikidata.org/wiki/Q5358432","display_name":"Electronic structure","level":2,"score":0.5711049437522888},{"id":"https://openalex.org/C37689646","wikidata":"https://www.wikidata.org/wiki/Q4454926","display_name":"Bloch wave","level":2,"score":0.5478560328483582},{"id":"https://openalex.org/C152365726","wikidata":"https://www.wikidata.org/wiki/Q1048589","display_name":"Density functional theory","level":2,"score":0.4817673861980438},{"id":"https://openalex.org/C53964469","wikidata":"https://www.wikidata.org/wiki/Q230895","display_name":"Density of states","level":2,"score":0.453738808631897},{"id":"https://openalex.org/C79794668","wikidata":"https://www.wikidata.org/wiki/Q1616270","display_name":"Heterojunction","level":2,"score":0.43983685970306396},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40707582235336304},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3894977867603302},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36380380392074585},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.289499968290329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2854742705821991},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14983370900154114},{"id":"https://openalex.org/C80316258","wikidata":"https://www.wikidata.org/wiki/Q2857578","display_name":"Thunderstorm","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1137/16m1088363","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1088363","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:wrap.warwick.ac.uk:87420","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1608.01968","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1608.01968","pdf_url":"https://arxiv.org/pdf/1608.01968","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},{"id":"pmh:oai:arXiv.org:1608.01968","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1608.01968","pdf_url":"https://arxiv.org/pdf/1608.01968","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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:circle.library.ubc.ca:2429/60777","is_oa":true,"landing_page_url":"http://hdl.handle.net/2429/60777","pdf_url":null,"source":{"id":"https://openalex.org/S4377196297","display_name":"cIRcle (University of British Columbia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I141945490","host_organization_name":"University of British Columbia","host_organization_lineage":["https://openalex.org/I141945490"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Moving Image"},{"id":"doi:10.48550/arxiv.1608.01968","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1608.01968","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},{"id":"doi:10.14288/1.0343053","is_oa":true,"landing_page_url":"https://doi.org/10.14288/1.0343053","pdf_url":null,"source":{"id":"https://openalex.org/S7407053062","display_name":"Open Collections","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1608.01968","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1608.01968","pdf_url":"https://arxiv.org/pdf/1608.01968","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3402382677","display_name":null,"funder_award_id":"0967140","funder_id":"https://openalex.org/F4320337370","funder_display_name":"Office of International Science and Engineering"},{"id":"https://openalex.org/G3424441068","display_name":null,"funder_award_id":"W911NF-14-1","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G5964126404","display_name":null,"funder_award_id":"W911NF-14-1-0247","funder_id":"https://openalex.org/F4320333591","funder_display_name":"Multidisciplinary University Research Initiative"},{"id":"https://openalex.org/G6032190850","display_name":null,"funder_award_id":"OISE-0967140","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6047366590","display_name":null,"funder_award_id":"W911NF-14-1-0247","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7041476167","display_name":null,"funder_award_id":"0967140","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G8387509111","display_name":null,"funder_award_id":"PIRE Grant OISE-0967140","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G891797142","display_name":null,"funder_award_id":"OISE-0967140","funder_id":"https://openalex.org/F4320337370","funder_display_name":"Office of International Science and Engineering"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309622","display_name":"Harvard University","ror":"https://ror.org/03vek6s52"},{"id":"https://openalex.org/F4320332388","display_name":"Radcliffe Institute for Advanced Study, Harvard University","ror":null},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320337370","display_name":"Office of International Science and Engineering","ror":"https://ror.org/01k638r21"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2488257813.pdf","grobid_xml":"https://content.openalex.org/works/W2488257813.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1617281577","https://openalex.org/W1960656420","https://openalex.org/W1980235468","https://openalex.org/W1994506835","https://openalex.org/W2009006028","https://openalex.org/W2015731984","https://openalex.org/W2022538649","https://openalex.org/W2024211806","https://openalex.org/W2032424370","https://openalex.org/W2037783202","https://openalex.org/W2046434053","https://openalex.org/W2073463995","https://openalex.org/W2083513696","https://openalex.org/W2105685140","https://openalex.org/W2245704740","https://openalex.org/W2327574145","https://openalex.org/W2344710338","https://openalex.org/W4252125839"],"related_works":["https://openalex.org/W1996503883","https://openalex.org/W3036338179","https://openalex.org/W3015253328","https://openalex.org/W2010276286","https://openalex.org/W2283531000","https://openalex.org/W2964274708","https://openalex.org/W2059095581","https://openalex.org/W1486630050","https://openalex.org/W1702113125","https://openalex.org/W2787889121","https://openalex.org/W2025449376","https://openalex.org/W1976083115","https://openalex.org/W2754087195","https://openalex.org/W3106228813","https://openalex.org/W3136275772","https://openalex.org/W2750915500","https://openalex.org/W2965786817","https://openalex.org/W1674687879","https://openalex.org/W2047980056"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"the":[3,23,38,69],"electronic":[4,59],"density":[5],"of":[6,26,68],"states":[7],"(DOS)":[8],"for":[9,37,57],"two-dimensional":[10],"incommensurate":[11,63],"layered":[12],"structures,":[13],"where":[14],"Bloch":[15,81],"theory":[16],"does":[17],"not":[18],"apply,":[19],"is":[20],"well-defined":[21],"as":[22,40],"thermodynamic":[24],"limit":[25],"finite":[27],"clusters.":[28],"In":[29],"addition,":[30],"we":[31,52],"obtain":[32],"an":[33,41],"explicit":[34],"representation":[35,50],"formula":[36],"DOS":[39],"integral":[42],"over":[43],"local":[44],"configurations.":[45],"Next,":[46],"based":[47],"on":[48],"this":[49],"formula,":[51],"propose":[53],"a":[54,75],"novel":[55],"algorithm":[56],"computing":[58],"structure":[60],"properties":[61],"in":[62],"heterostructures,":[64],"which":[65],"overcomes":[66],"limitations":[67],"common":[70],"approach":[71],"to":[72],"artificially":[73],"strain":[74],"large":[76],"supercell":[77],"and":[78],"then":[79],"apply":[80],"theory.":[82]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}