{"id":"https://openalex.org/W7160776643","doi":"https://doi.org/10.1103/9btt-y8sh","title":"Tensor network approach to momentum-resolved spectroscopy in nonperiodic super-moir\u00e9 systems","display_name":"Tensor network approach to momentum-resolved spectroscopy in nonperiodic super-moir\u00e9 systems","publication_year":2026,"publication_date":"2026-05-10","ids":{"openalex":"https://openalex.org/W7160776643","doi":"https://doi.org/10.1103/9btt-y8sh"},"language":"en","primary_location":{"id":"doi:10.1103/9btt-y8sh","doi":"https://doi.org/10.1103/9btt-y8sh","is_oa":true,"landing_page_url":"https://doi.org/10.1103/9btt-y8sh","pdf_url":null,"source":{"id":"https://openalex.org/S4210240247","display_name":"Physical Review Research","issn_l":"2643-1564","issn":["2643-1564"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-20","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Research","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1103/9btt-y8sh","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053830744","display_name":"Anouar Moustaj","orcid":"https://orcid.org/0000-0002-9844-2987","observed_orcids":["https://orcid.org/0000-0002-9844-2987"]},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Anouar Moustaj","raw_affiliation_strings":["Aalto University"],"raw_orcid":"https://orcid.org/0000-0002-9844-2987","affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5121244199","display_name":"Yitao Sun","orcid":"https://orcid.org/0009-0002-9479-7147","observed_orcids":["https://orcid.org/0009-0002-9479-7147"]},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Yitao Sun","raw_affiliation_strings":["Aalto University"],"raw_orcid":"https://orcid.org/0009-0002-9479-7147","affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013844867","display_name":"T. V. C. Ant\u00e3o","orcid":"https://orcid.org/0000-0003-3622-2513","observed_orcids":["https://orcid.org/0000-0003-3622-2513"]},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Tiago V. C. Ant\u00e3o","raw_affiliation_strings":["Aalto University"],"raw_orcid":"https://orcid.org/0000-0003-3622-2513","affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026208796","display_name":"Jos\u00e9 Luis Lado","orcid":"https://orcid.org/0000-0002-9916-1589","observed_orcids":["https://orcid.org/0000-0002-9916-1589"]},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Jose L. Lado","raw_affiliation_strings":["Aalto University"],"raw_orcid":"https://orcid.org/0000-0002-9916-1589","affiliations":[{"raw_affiliation_string":"Aalto University","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":{"value":2625,"currency":"USD","value_usd":2625},"apc_paid":{"value":2625,"currency":"USD","value_usd":2625},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.30485812,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9452999830245972,"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/T11804","display_name":"Quantum many-body systems","score":0.9452999830245972,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.008299999870359898,"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/T10275","display_name":"2D Materials and Applications","score":0.00559999980032444,"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/tensor-networks","display_name":"tensor networks","score":0.75},{"id":"https://openalex.org/keywords/quasicrystals","display_name":"quasicrystals","score":0.7360000014305115},{"id":"https://openalex.org/keywords/non-uniform-strain","display_name":"non-uniform strain","score":0.8830000162124634},{"id":"https://openalex.org/keywords/minigaps","display_name":"minigaps","score":0.847000002861023},{"id":"https://openalex.org/keywords/tight-binding-hamiltonian","display_name":"tight-binding Hamiltonian","score":0.6690000295639038},{"id":"https://openalex.org/keywords/mean-field-interaction","display_name":"mean-field interaction","score":0.6359999775886536}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4595000147819519},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45080000162124634},{"id":"https://openalex.org/C32891209","wikidata":"https://www.wikidata.org/wiki/Q483666","display_name":"Spectroscopy","level":2,"score":0.4269999861717224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36149999499320984},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33079999685287476},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31470000743865967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31299999356269836},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.27630001306533813},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.27230000495910645},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.2531999945640564}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1103/9btt-y8sh","doi":"https://doi.org/10.1103/9btt-y8sh","is_oa":true,"landing_page_url":"https://doi.org/10.1103/9btt-y8sh","pdf_url":null,"source":{"id":"https://openalex.org/S4210240247","display_name":"Physical Review Research","issn_l":"2643-1564","issn":["2643-1564"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-20","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Research","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2512.18397","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2512.18397","pdf_url":"https://arxiv.org/pdf/2512.18397","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":"pmh:oai:aaltodoc.aalto.fi:123456789/146097","doi":null,"is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/2dc2982c-eccb-4924-8654-a99cc5f14fc4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:64f98ede54354637ba99d085085ca3df","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/64f98ede54354637ba99d085085ca3df","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"Physical Review Research, Vol 8, Iss 2, p 023282 (2026)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2512.18397","doi":"https://doi.org/10.48550/arxiv.2512.18397","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.18397","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":"doi:10.1103/9btt-y8sh","doi":"https://doi.org/10.1103/9btt-y8sh","is_oa":true,"landing_page_url":"https://doi.org/10.1103/9btt-y8sh","pdf_url":null,"source":{"id":"https://openalex.org/S4210240247","display_name":"Physical Review Research","issn_l":"2643-1564","issn":["2643-1564"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-20","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Research","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1465400874","display_name":null,"funder_award_id":"QDOC VN/3137/2024-OKM-4","funder_id":"https://openalex.org/F4320321727","funder_display_name":"Opetus- ja Kulttuuriministeri\u00f6"},{"id":"https://openalex.org/G2770940183","display_name":null,"funder_award_id":"358877","funder_id":"https://openalex.org/F4320321394","funder_display_name":"Aalto-Yliopisto"},{"id":"https://openalex.org/G5278023204","display_name":null,"funder_award_id":"358877","funder_id":"https://openalex.org/F3791607605","funder_display_name":"Aalto Science Institute, Aalto University"},{"id":"https://openalex.org/G7064511762","display_name":"Atomic scale optoelectronic control of van der Waals\nquantum materials","funder_award_id":"370912","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"}],"funders":[{"id":"https://openalex.org/F3791607605","display_name":"Aalto Science Institute, Aalto University","ror":null},{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"},{"id":"https://openalex.org/F4320321394","display_name":"Aalto-Yliopisto","ror":"https://ror.org/020hwjq30"},{"id":"https://openalex.org/F4320321727","display_name":"Opetus- ja Kulttuuriministeri\u00f6","ror":"https://ror.org/02w52zt87"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7133350854","https://openalex.org/W4417267708","https://openalex.org/W4403853651","https://openalex.org/W4400346497","https://openalex.org/W7125807754","https://openalex.org/W4416390443","https://openalex.org/W3181879995","https://openalex.org/W7160645965","https://openalex.org/W4411984062","https://openalex.org/W4415276847"],"abstract_inverted_index":{"Computing":[0],"spectral":[1,34,115,148],"functions":[2,35,116,149],"in":[3,133,150,165],"large,":[4],"nonperiodic":[5],"super-moir\u00e9":[6,40,87,90,102,134,153],"systems":[7,41,135],"remains":[8],"an":[9,43,51,57],"open":[10],"problem":[11,55],"due":[12],"to":[13,112,118,145,158],"the":[14,81,97],"exceptionally":[15,151],"large":[16,53,152],"system":[17],"size":[18],"that":[19,30,107],"must":[20],"be":[21],"considered.":[22],"Here,":[23],"we":[24,105],"establish":[25,141],"a":[26,64,73,122,142,156],"tensor":[27,68,77],"network":[28,69],"methodology":[29,47,109,144],"allows":[31,110],"computing":[32],"momentum-resolved":[33,114,147],"of":[36,121,127],"noninteracting":[37],"and":[38,85,100,131],"interacting":[39],"at":[42,96],"atomistic":[44],"level.":[45],"Our":[46,139],"relies":[48],"on":[49],"encoding":[50],"exponentially":[52],"tight-binding":[54],"as":[56],"auxiliary":[58],"quantum":[59,74,161],"many-body":[60,65],"problem,":[61],"solved":[62],"with":[63,72,91,136],"kernel":[66],"polynomial":[67],"algorithm":[70],"combined":[71],"Fourier":[75],"transform":[76],"network.":[78],"We":[79],"demonstrate":[80,106],"method":[82],"for":[83],"one-":[84],"two-dimensional":[86],"systems,":[88,154],"including":[89],"nonuniform":[92,137],"strain,":[93],"interactions":[94],"treated":[95],"mean-field":[98],"level,":[99],"quasicrystalline":[101],"patterns.":[103],"Furthermore,":[104],"our":[108],"us":[111],"compute":[113,146],"restricted":[117],"selected":[119],"regions":[120],"super-moir\u00e9,":[123],"enabling":[124],"direct":[125],"imaging":[126],"position-dependent":[128],"electronic":[129],"structure":[130],"minigaps":[132],"strain.":[138],"results":[140],"powerful":[143],"providing":[155],"tool":[157],"directly":[159],"model":[160],"twisting":[162],"microscope":[163],"experiments":[164],"twisted":[166],"van":[167],"der":[168],"Waals":[169],"heterostructures.":[170]},"counts_by_year":[],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2026-05-11T00:00:00"}