{"id":"https://openalex.org/W7214358154","doi":"https://doi.org/10.48550/arxiv.2609.30265","title":"Upper critical dimension for dirty Weyl semimetal-to-metal quantum phase transitions","display_name":"Upper critical dimension for dirty Weyl semimetal-to-metal quantum phase transitions","publication_year":2026,"publication_date":"2026-09-24","ids":{"openalex":"https://openalex.org/W7214358154","doi":"https://doi.org/10.48550/arxiv.2609.30265"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.30265","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.30265","pdf_url":"https://arxiv.org/pdf/2609.30265","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"},"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/2609.30265","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152854686","display_name":"Yongtai Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Li, Yongtai","raw_affiliation_strings":["Department of Physics , Lehigh University , Bethlehem , Pennsylvania 18015 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Lehigh University , Bethlehem , Pennsylvania 18015 , USA","institution_ids":["https://openalex.org/I186143895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5152777061","display_name":"Bitan Roy","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roy, Bitan","raw_affiliation_strings":["Department of Physics , Lehigh University , Bethlehem , Pennsylvania 18015 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Lehigh University , Bethlehem , Pennsylvania 18015 , USA","institution_ids":["https://openalex.org/I186143895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I186143895"],"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":0.9829000234603882,"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":0.9829000234603882,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.0044999998062849045,"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":0.002199999988079071,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/weyl-semimetals","display_name":"Weyl semimetals","score":0.9120000004768372},{"id":"https://openalex.org/keywords/upper-critical-dimension","display_name":"upper critical dimension","score":0.8920000195503235},{"id":"https://openalex.org/keywords/lower-critical-dimension","display_name":"lower critical dimension","score":0.7269999980926514},{"id":"https://openalex.org/keywords/disorder-driven-phase-transition","display_name":"disorder-driven phase transition","score":0.5220000147819519},{"id":"https://openalex.org/keywords/quasiparticle-lifetime","display_name":"quasiparticle lifetime","score":0.949999988079071},{"id":"https://openalex.org/keywords/self-consistent-born-approximation","display_name":"self-consistent Born approximation","score":0.8429999947547913},{"id":"https://openalex.org/keywords/correlation-length-exponent","display_name":"correlation length exponent","score":0.8510000109672546},{"id":"https://openalex.org/keywords/dynamical-exponent","display_name":"dynamical exponent","score":0.9120000004768372},{"id":"https://openalex.org/keywords/field-theoretic-renormalization-group","display_name":"field-theoretic renormalization group","score":0.9580000042915344},{"id":"https://openalex.org/keywords/kernel-polynomial-method","display_name":"kernel polynomial method","score":0.628000020980835}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.755299985408783},{"id":"https://openalex.org/C136479403","wikidata":"https://www.wikidata.org/wiki/Q1047683","display_name":"Quasiparticle","level":3,"score":0.5177000164985657},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5152999758720398},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.510699987411499},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.49380001425743103},{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.48739999532699585},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.47450000047683716},{"id":"https://openalex.org/C194807282","wikidata":"https://www.wikidata.org/wiki/Q900634","display_name":"Critical phenomena","level":3,"score":0.45829999446868896},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.4514000117778778},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.44440001249313354},{"id":"https://openalex.org/C207789793","wikidata":"https://www.wikidata.org/wiki/Q3028070","display_name":"Critical dimension","level":2,"score":0.4390000104904175},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4325999915599823},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.4255000054836273},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.42179998755455017},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3970000147819519},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.3935999870300293},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.3424000144004822},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3278999924659729},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.32330000400543213},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.3140000104904175},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.31349998712539673},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.3100999891757965},{"id":"https://openalex.org/C146366752","wikidata":"https://www.wikidata.org/wiki/Q7269030","display_name":"Quantum critical point","level":4,"score":0.29120001196861267},{"id":"https://openalex.org/C183212220","wikidata":"https://www.wikidata.org/wiki/Q3345669","display_name":"Heat kernel","level":2,"score":0.271699994802475},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C175724006","wikidata":"https://www.wikidata.org/wiki/Q4769942","display_name":"Scaling dimension","level":3,"score":0.26489999890327454},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.25999999046325684},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.2597000002861023}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.30265","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.30265","pdf_url":"https://arxiv.org/pdf/2609.30265","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.2609.30265","doi":"https://doi.org/10.48550/arxiv.2609.30265","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.30265","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:2609.30265","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.30265","pdf_url":"https://arxiv.org/pdf/2609.30265","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/G2270071234","display_name":null,"funder_award_id":"DMR-2238679","funder_id":"https://openalex.org/F4320310365","funder_display_name":"Lehigh University"},{"id":"https://openalex.org/G2298828977","display_name":"CAREER: Novel platforms for topology and non-Fermi liquids: From projected topological branes to non-Abelian and fractional materials","funder_award_id":"2238679","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7083592467","display_name":"CC* Compute: Acquisition of a Lehigh University HPC cluster to enhance collaboration, research productivity and educational impact","funder_award_id":"2019035","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/F4320310365","display_name":"Lehigh University","ror":"https://ror.org/012afjb06"},{"id":"https://openalex.org/F4320337367","display_name":"Division of Materials Research","ror":"https://ror.org/01pc7k308"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214358154.pdf","grobid_xml":"https://content.openalex.org/works/W7214358154.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W1713355902","https://openalex.org/W4414922377"],"related_works":["https://openalex.org/W938188675","https://openalex.org/W2546013365","https://openalex.org/W2747708992","https://openalex.org/W2213795152","https://openalex.org/W2808191385","https://openalex.org/W2765663244","https://openalex.org/W1751774935","https://openalex.org/W2787474197","https://openalex.org/W2724902894","https://openalex.org/W2761893720"],"abstract_inverted_index":{"Weyl":[0,81,179],"or":[1],"Dirac":[2],"fermions":[3],"with":[4],"the":[5,32,63,66,75,95,112,118,127,142,147],"iconic":[6],"linear":[7],"energy-momentum":[8],"relation":[9],"and":[10,45,60,92,98,190],"average":[11],"density":[12],"of":[13,65,114],"states":[14],"(ADOS)":[15],"$\u03c1(E)":[16],"\\sim":[17],"|E|^{d-1}$":[18],"at":[19,48,146],"energy":[20],"$E$":[21],"in":[22,79,83],"$d$":[23],"spatial":[24],"dimensions,":[25],"constitute":[26],"a":[27,53,173],"unique":[28],"setup":[29],"to":[30,85,134,154,167],"study":[31],"disorder-driven":[33],"semimetal-to-metal":[34,180],"quantum":[35,148],"phase":[36],"transition":[37],"(QPT)":[38],"between":[39],"ballistic":[40],"(realized":[41],"for":[42,58,103,123,159],"weak":[43],"disorder)":[44,50],"diffusive":[46],"(stabilized":[47],"stronger":[49],"quasiparticles.":[51],"Such":[52],"QPT":[54],"takes":[55],"place":[56],"only":[57],"$d>2$":[59],"falls":[61],"beyond":[62],"realm":[64],"Anderson":[67],"metal-to-insulator":[68],"transition.":[69],"From":[70],"numerically":[71],"computed":[72],"ADOS":[73],"(using":[74],"kernel":[76],"polynomial":[77],"method)":[78],"dirty":[80],"systems":[82],"$d=2$":[84,91],"$6$,":[86],"here":[87],"we":[88],"show":[89],"that":[90],"$d=4$":[93],"are":[94],"lower":[96],"($d_\\ell$)":[97],"upper":[99],"($d_u$)":[100],"critical":[101,149],"dimensions":[102],"such":[104],"an":[105,169],"unconventional":[106],"QPT,":[107],"respectively,":[108],"as":[109],"suggested":[110],"from":[111,172],"solution":[113],"quasiparticle":[115],"lifetime":[116],"within":[117],"self-consistent":[119],"Born":[120],"approximation.":[121],"Consequently,":[122],"$d":[124,161],"\\geq":[125,162],"4$":[126],"associated":[128],"correlation":[129],"length":[130],"exponent":[131,145],"is":[132,151,165],"found":[133],"be":[135,168,183],"$\u03bd\\approx":[136],"0.5$":[137],"(within":[138],"numerical":[139],"accuracy).":[140],"However,":[141],"dynamic":[143],"scaling":[144],"point":[150],"pinned":[152],"close":[153],"$z":[155],"\\approx":[156],"d/2$":[157],"(numerically)":[158],"any":[160],"3$,":[163],"which":[164],"shown":[166],"exact":[170],"result":[171],"field-theoretic":[174],"renormalization":[175],"group":[176],"calculation.":[177],"Therefore,":[178],"QPTs":[181],"can":[182],"studied":[184],"field":[185],"theoretically":[186],"around":[187],"both":[188],"$d_\\ell$":[189],"$d_u$.":[191]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-26T00:00:00"}
