{"id":"https://openalex.org/W3160010306","doi":"https://doi.org/10.1103/physrevb.104.l081105","title":"Local marker for interacting topological insulators","display_name":"Local marker for interacting topological insulators","publication_year":2021,"publication_date":"2021-08-09","ids":{"openalex":"https://openalex.org/W3160010306","doi":"https://doi.org/10.1103/physrevb.104.l081105","mag":"3160010306"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.104.l081105","doi":"https://doi.org/10.1103/physrevb.104.l081105","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.104.l081105","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","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2009.01801","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023141981","display_name":"A. A. Markov","orcid":"https://orcid.org/0000-0002-3639-9098","observed_orcids":["https://orcid.org/0000-0002-3639-9098"]},"institutions":[{"id":"https://openalex.org/I4210139586","display_name":"Russian Quantum Center","ror":"https://ror.org/03v8t4025","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210139586"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. A. Markov","raw_affiliation_strings":["Russian Quantum Center, Skolkovo IC, Bolshoy Boulevard 30, bld. 1, Moscow 121205, Russia"],"raw_orcid":"https://orcid.org/0000-0002-3639-9098","affiliations":[{"raw_affiliation_string":"Russian Quantum Center, Skolkovo IC, Bolshoy Boulevard 30, bld. 1, Moscow 121205, Russia","institution_ids":["https://openalex.org/I4210139586"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086592891","display_name":"Alexey N. Rubtsov","orcid":"https://orcid.org/0000-0001-5090-3599","observed_orcids":["https://orcid.org/0000-0001-5090-3599"]},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I4210139586","display_name":"Russian Quantum Center","ror":"https://ror.org/03v8t4025","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210139586"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. N. Rubtsov","raw_affiliation_strings":["Department of Physics, Lomonosov Moscow State University, Leninskie Gory 1, Moscow 119991, Russia","Russian Quantum Center, Skolkovo IC, Bolshoy Boulevard 30, bld. 1, Moscow 121205, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Lomonosov Moscow State University, Leninskie Gory 1, Moscow 119991, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Russian Quantum Center, Skolkovo IC, Bolshoy Boulevard 30, bld. 1, Moscow 121205, Russia","institution_ids":["https://openalex.org/I4210139586"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1516,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.75459168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"104","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9990000128746033,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.9990000128746033,"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":0.00039999998989515007,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.00019999999494757503,"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/chern-insulator","display_name":"Chern insulator","score":0.796999990940094},{"id":"https://openalex.org/keywords/anderson-disorder","display_name":"Anderson disorder","score":0.8930000066757202},{"id":"https://openalex.org/keywords/hubbard-interaction","display_name":"Hubbard interaction","score":0.8989999890327454},{"id":"https://openalex.org/keywords/single-particle-green-s-function","display_name":"single-particle Green's function","score":0.984000027179718},{"id":"https://openalex.org/keywords/topological-phase-transition","display_name":"topological phase transition","score":0.8669999837875366},{"id":"https://openalex.org/keywords/finite-lattices","display_name":"finite lattices","score":0.9409999847412109},{"id":"https://openalex.org/keywords/non-equilibrium-systems","display_name":"nonequilibrium systems","score":0.8349999785423279},{"id":"https://openalex.org/keywords/many-body-systems","display_name":"many-body systems","score":0.47699999809265137}],"concepts":[{"id":"https://openalex.org/C128911142","wikidata":"https://www.wikidata.org/wiki/Q1488689","display_name":"Topological insulator","level":2,"score":0.7079620361328125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.466171532869339},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.42753511667251587},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2050040066242218},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20117691159248352},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08459654450416565}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physrevb.104.l081105","doi":"https://doi.org/10.1103/physrevb.104.l081105","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.104.l081105","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:arXiv.org:2009.01801","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.01801","pdf_url":"https://arxiv.org/pdf/2009.01801","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.2009.01801","doi":"https://doi.org/10.48550/arxiv.2009.01801","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2009.01801","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2009.01801","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.01801","pdf_url":"https://arxiv.org/pdf/2009.01801","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/G5222467369","display_name":null,"funder_award_id":"18-3-01","funder_id":"https://openalex.org/F4320316011","funder_display_name":"Basis Foundation"}],"funders":[{"id":"https://openalex.org/F4320316011","display_name":"Basis Foundation","ror":"https://ror.org/05v6e7y40"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3160010306.pdf","grobid_xml":"https://content.openalex.org/works/W3160010306.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W1491881499","https://openalex.org/W1528946541","https://openalex.org/W1576283482","https://openalex.org/W1654475685","https://openalex.org/W1819512310","https://openalex.org/W1965578918","https://openalex.org/W1978774199","https://openalex.org/W1985134230","https://openalex.org/W1988150410","https://openalex.org/W1989661400","https://openalex.org/W1996822656","https://openalex.org/W2006171599","https://openalex.org/W2009073265","https://openalex.org/W2015296329","https://openalex.org/W2019689829","https://openalex.org/W2021415737","https://openalex.org/W2025389872","https://openalex.org/W2026831429","https://openalex.org/W2030901305","https://openalex.org/W2034121781","https://openalex.org/W2037034298","https://openalex.org/W2037807652","https://openalex.org/W2039081246","https://openalex.org/W2040935135","https://openalex.org/W2077922185","https://openalex.org/W2080035276","https://openalex.org/W2080580319","https://openalex.org/W2086348870","https://openalex.org/W2093699506","https://openalex.org/W2104871713","https://openalex.org/W2107137160","https://openalex.org/W2141708961","https://openalex.org/W2572784842","https://openalex.org/W2583383801","https://openalex.org/W2585338318","https://openalex.org/W2610078153","https://openalex.org/W2613308278","https://openalex.org/W2624440619","https://openalex.org/W2747743311","https://openalex.org/W2782751193","https://openalex.org/W2798650065","https://openalex.org/W2804469778","https://openalex.org/W2807141193","https://openalex.org/W2890345097","https://openalex.org/W2942577822","https://openalex.org/W2953985796","https://openalex.org/W2967668138","https://openalex.org/W3100708525","https://openalex.org/W3200486492","https://openalex.org/W4229629524","https://openalex.org/W4233182181","https://openalex.org/W4238175110","https://openalex.org/W4310877238"],"related_works":["https://openalex.org/W3081770749","https://openalex.org/W4401946742","https://openalex.org/W4389135182","https://openalex.org/W2942577822","https://openalex.org/W4412621908","https://openalex.org/W4313266526","https://openalex.org/W4414585663","https://openalex.org/W4313988774","https://openalex.org/W4200631525","https://openalex.org/W4405079259"],"abstract_inverted_index":{"Topological":[0],"states":[1],"of":[2,42,65,95],"matter":[3,57],"were":[4],"first":[5],"introduced":[6],"for":[7,55],"noninteracting":[8],"fermions":[9],"on":[10,80],"an":[11,68],"infinite":[12],"uniform":[13],"lattice.":[14],"Since":[15],"then,":[16],"substantial":[17],"effort":[18],"has":[19,58],"been":[20,34,59],"made":[21],"to":[22,26,111],"generalize":[23],"these":[24],"concepts":[25],"more":[27],"complex":[28],"settings.":[29],"Recently,":[30],"local":[31,53,77],"markers":[32],"have":[33],"developed":[35],"that":[36,62],"can":[37,108],"describe":[38],"the":[39,81],"topological":[40,90],"state":[41],"systems":[43],"without":[44],"translational":[45],"symmetry":[46],"and":[47,102],"a":[48,75,96],"well-defined":[49],"gap.":[50],"However,":[51],"no":[52],"marker":[54,78,87],"interacting":[56,69],"proposed":[60],"yet":[61],"is":[63],"capable":[64],"directly":[66],"addressing":[67],"system.":[70],"Here,":[71],"we":[72,88],"suggest":[73],"such":[74],"many-body":[76],"based":[79],"single-particle":[82],"Green's":[83],"function.":[84],"Using":[85],"this":[86],"identify":[89],"transitions":[91],"in":[92],"finite":[93],"lattices":[94],"Chern":[97],"insulator":[98],"with":[99],"Anderson":[100],"disorder":[101],"Hubbard":[103],"interactions.":[104],"Importantly,":[105],"our":[106],"proposal":[107],"be":[109],"generalized":[110],"nonequilibrium":[112],"systems.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2021-05-24T00:00:00"}
