{"id":"https://openalex.org/W7202198613","doi":"https://doi.org/10.48550/arxiv.2608.08917","title":"Relaxation-driven flat bands and topology in moir\u00e9 transition metal dichalcogenide heterobilayers","display_name":"Relaxation-driven flat bands and topology in moir\u00e9 transition metal dichalcogenide heterobilayers","publication_year":2026,"publication_date":"2026-08-09","ids":{"openalex":"https://openalex.org/W7202198613","doi":"https://doi.org/10.48550/arxiv.2608.08917"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.08917","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.08917","pdf_url":"https://arxiv.org/pdf/2608.08917","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.08917","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036018970","display_name":"Mitchell Luskin","orcid":"https://orcid.org/0000-0003-1981-199X","observed_orcids":["https://orcid.org/0000-0003-1981-199X"]},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luskin, Mitchell","raw_affiliation_strings":["School of Mathematics , University of Minnesota , Minneapolis , MN 55455 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics , University of Minnesota , Minneapolis , MN 55455 , USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065154837","display_name":"Max Geier","orcid":"https://orcid.org/0000-0002-7552-5763","observed_orcids":["https://orcid.org/0000-0002-7552-5763"]},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Geier, Max","raw_affiliation_strings":["Department of Physics , Massachusetts Institute of Technology , Cambridge , MA 02139 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Massachusetts Institute of Technology , Cambridge , MA 02139 , USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011352096","display_name":"Liang Fu","orcid":"https://orcid.org/0000-0002-8803-1017","observed_orcids":["https://orcid.org/0000-0002-8803-1017","https://orcid.org/0009-0008-1000-2903"]},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fu, Liang","raw_affiliation_strings":["Department of Physics , Massachusetts Institute of Technology , Cambridge , MA 02139 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Massachusetts Institute of Technology , Cambridge , MA 02139 , USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023902857","display_name":"Ziyan Zhu","orcid":"https://orcid.org/0000-0003-4463-5828","observed_orcids":["https://orcid.org/0000-0003-4463-5828"]},"institutions":[{"id":"https://openalex.org/I103531236","display_name":"Boston College","ror":"https://ror.org/02n2fzt79","country_code":"US","type":"education","lineage":["https://openalex.org/I103531236"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhu, Ziyan","raw_affiliation_strings":["Department of Physics , Boston College , Chestnut Hill , MA 02472 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Boston College , Chestnut Hill , MA 02472 , USA","institution_ids":["https://openalex.org/I103531236"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9384999871253967,"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":0.9384999871253967,"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/T10275","display_name":"2D Materials and Applications","score":0.05999999865889549,"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/T10083","display_name":"Graphene research and applications","score":0.00019999999494757503,"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/transition-metal-dichalcogenides","display_name":"transition metal dichalcogenides","score":0.9810000061988831},{"id":"https://openalex.org/keywords/lattice-relaxation","display_name":"lattice relaxation","score":0.8939999938011169},{"id":"https://openalex.org/keywords/flat-bands","display_name":"flat bands","score":0.8479999899864197},{"id":"https://openalex.org/keywords/chern-insulator","display_name":"Chern insulator","score":0.5},{"id":"https://openalex.org/keywords/fractional-chern-insulators","display_name":"fractional Chern insulators","score":0.8930000066757202},{"id":"https://openalex.org/keywords/pseudomagnetic-field","display_name":"pseudomagnetic field","score":0.9860000014305115},{"id":"https://openalex.org/keywords/moire-potential","display_name":"moir\u00e9 potential","score":0.7609999775886536},{"id":"https://openalex.org/keywords/berry-curvature","display_name":"Berry curvature","score":0.8679999709129333},{"id":"https://openalex.org/keywords/quantum-metric","display_name":"quantum metric","score":0.9879999756813049},{"id":"https://openalex.org/keywords/quantum-anomalous-hall-effect","display_name":"quantum anomalous Hall effect","score":0.9269999861717224},{"id":"https://openalex.org/keywords/flat-band-superconductivity","display_name":"flat band superconductivity","score":0.9549999833106995},{"id":"https://openalex.org/keywords/twist-angle","display_name":"twist angle","score":0.7559999823570251},{"id":"https://openalex.org/keywords/lattice-mismatch","display_name":"lattice mismatch","score":0.8059999942779541},{"id":"https://openalex.org/keywords/continuum-model","display_name":"continuum model","score":0.6159999966621399}],"concepts":[{"id":"https://openalex.org/C22448393","wikidata":"https://www.wikidata.org/wiki/Q4894840","display_name":"Berry connection and curvature","level":3,"score":0.6047000288963318},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6043999791145325},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6022999882698059},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.49470001459121704},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4934999942779541},{"id":"https://openalex.org/C128911142","wikidata":"https://www.wikidata.org/wiki/Q1488689","display_name":"Topological insulator","level":2,"score":0.47189998626708984},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.3700000047683716},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3626999855041504},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.3264000117778778},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3253999948501587},{"id":"https://openalex.org/C2777205815","wikidata":"https://www.wikidata.org/wiki/Q25304680","display_name":"Quantum anomalous Hall effect","level":4,"score":0.3091999888420105},{"id":"https://openalex.org/C2987941056","wikidata":"https://www.wikidata.org/wiki/Q28324872","display_name":"Semiconductor nanostructures","level":3,"score":0.30399999022483826},{"id":"https://openalex.org/C151527765","wikidata":"https://www.wikidata.org/wiki/Q1069818","display_name":"Chern class","level":2,"score":0.29319998621940613},{"id":"https://openalex.org/C200369452","wikidata":"https://www.wikidata.org/wiki/Q1047822","display_name":"Quantum Hall effect","level":3,"score":0.29030001163482666},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2863999903202057},{"id":"https://openalex.org/C2776196297","wikidata":"https://www.wikidata.org/wiki/Q17138781","display_name":"Twist","level":2,"score":0.2734000086784363},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.26820001006126404},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.25850000977516174},{"id":"https://openalex.org/C134112204","wikidata":"https://www.wikidata.org/wiki/Q10656","display_name":"Hall effect","level":3,"score":0.2535000145435333},{"id":"https://openalex.org/C75577371","wikidata":"https://www.wikidata.org/wiki/Q6497124","display_name":"Lattice model (finance)","level":3,"score":0.250900000333786},{"id":"https://openalex.org/C125469278","wikidata":"https://www.wikidata.org/wiki/Q806380","display_name":"Electronic band structure","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.08917","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.08917","pdf_url":"https://arxiv.org/pdf/2608.08917","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.08917","doi":"https://doi.org/10.48550/arxiv.2608.08917","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.08917","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.08917","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.08917","pdf_url":"https://arxiv.org/pdf/2608.08917","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/G1803640625","display_name":"Collaborative Research: NSF-NSERC: Data-enabled Model Order Reduction for 2D Quantum Materials","funder_award_id":"2422469","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320308357","display_name":"Boston College","ror":"https://ror.org/02n2fzt79"},{"id":"https://openalex.org/F4320317220","display_name":"National Energy Research Scientific Computing Center","ror":"https://ror.org/05v3mvq14"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7202198613.pdf","grobid_xml":"https://content.openalex.org/works/W7202198613.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4396706442","https://openalex.org/W7202303464","https://openalex.org/W4415166162","https://openalex.org/W2877030853","https://openalex.org/W3174443554","https://openalex.org/W4206566017","https://openalex.org/W4400622546","https://openalex.org/W4415944588","https://openalex.org/W3179611825","https://openalex.org/W4286909255"],"abstract_inverted_index":{"Moir\u00e9":[0],"transition":[1],"metal":[2],"dichalcogenide":[3],"(TMD)":[4],"heterobilayers":[5,207],"are":[6],"commonly":[7],"modeled":[8],"by":[9,46,220],"a":[10,58,67,75,81,88,110,187,209],"continuum":[11,59,196],"theory":[12],"that":[13,61,92,190],"yields":[14],"topologically":[15],"trivial":[16],"bands,":[17],"in":[18],"contrast":[19],"to":[20,52,154,162,181,198],"their":[21],"homobilayer":[22],"counterparts":[23],"which":[24,134],"host":[25],"topological":[26,213],"bands":[27,103],"and":[28,80,100,116,124,130,150,176],"fractional":[29],"Chern":[30,105,165],"insulators":[31],"(FCI).":[32],"We":[33,56],"show":[34,205],"this":[35,202],"conclusion":[36],"is":[37,217],"an":[38,49],"artifact":[39],"of":[40,113,212],"neglecting":[41],"the":[42,93,98,120,128,132,147,155,159,163,169,195],"pseudomagnetic":[43,82,94],"field":[44,95],"generated":[45],"lattice":[47,117,222],"relaxation,":[48],"effect":[50],"intrinsic":[51,221],"every":[53],"moir\u00e9":[54,69,121,206],"material.":[55],"develop":[57],"model":[60],"resolves":[62],"relaxation":[63],"into":[64],"three":[65],"channels:":[66],"modified":[68],"potential":[70,122,126],"with":[71,104],"higher":[72,182],"Fourier":[73],"harmonics,":[74],"pseudoelectric":[76,125],"(scalar":[77],"deformation)":[78],"potential,":[79],"(vector)":[83],"potential.":[84],"Using":[85,201],"WSe$_2$/WS$_2$":[86],"as":[87,208],"prototype,":[89],"we":[90,204],"find":[91],"alone":[96],"gaps":[97],"third":[99],"fourth":[101],"valence":[102],"numbers":[106],"$\\pm":[107],"1$":[108],"over":[109],"broad":[111],"range":[112],"twist":[114],"angle":[115],"mismatch,":[118],"while":[119],"correction":[123],"narrow":[127],"bandwidth":[129],"enhance":[131],"bandgaps,":[133],"survive":[135],"many-body":[136,199],"interactions":[137],"using":[138],"neural-network":[139],"variational":[140],"Monte":[141],"Carlo":[142],"calculations.":[143],"Relaxation":[144],"also":[145],"smoothens":[146],"Berry":[148],"curvature":[149],"quantum":[151,170],"metric":[152],"relative":[153],"rigid":[156],"model,":[157,197],"moving":[158],"band":[160],"closer":[161],"ideal":[164],"limit,":[166],"beneficial":[167],"for":[168],"anomalous":[171],"Hall":[172],"effect,":[173],"FCI":[174],"states,":[175],"flat-band":[177],"superconductivity":[178],"when":[179],"filled":[180],"bands.":[183],"Our":[184],"work":[185],"establishes":[186],"new":[188,210],"framework":[189],"connects":[191],"first-principles":[192],"calculations,":[193],"through":[194],"observables.":[200],"framework,":[203],"class":[211],"materials":[214],"whose":[215],"topology":[216],"driven":[218],"entirely":[219],"relaxation.":[223]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-08-12T00:00:00"}
