{"id":"https://openalex.org/W7224796717","doi":"https://doi.org/10.48550/arxiv.2610.39514","title":"Tunable periodic cascade of delocalization transitions in non-Hermitian IAAF model","display_name":"Tunable periodic cascade of delocalization transitions in non-Hermitian IAAF model","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224796717","doi":"https://doi.org/10.48550/arxiv.2610.39514"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.39514","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39514","pdf_url":"https://arxiv.org/pdf/2610.39514","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/2610.39514","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160228029","display_name":"Yi Xue","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xue, Yi","raw_affiliation_strings":["Lanzhou Center for Theoretical Physics , Key Laboratory of Quantum Theory and Applications of the Ministry of Education ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lanzhou Center for Theoretical Physics , Key Laboratory of Quantum Theory and Applications of the Ministry of Education ,","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5139230677","display_name":"Yunhua Wang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Yunhua","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9965999722480774,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9965999722480774,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/delocalization-transition","display_name":"delocalization transition","score":0.9169999957084656},{"id":"https://openalex.org/keywords/non-hermitian-physics","display_name":"non-Hermitian physics","score":0.8999999761581421},{"id":"https://openalex.org/keywords/quasiperiodic-potentials","display_name":"quasiperiodic potentials","score":0.921999990940094},{"id":"https://openalex.org/keywords/gains-and-losses","display_name":"gain and loss","score":0.8399999737739563},{"id":"https://openalex.org/keywords/localization","display_name":"localization","score":0.5099999904632568},{"id":"https://openalex.org/keywords/extended-states","display_name":"extended states","score":0.753000020980835},{"id":"https://openalex.org/keywords/phase-diagram","display_name":"phase diagram","score":0.3630000054836273}],"concepts":[{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.9785000085830688},{"id":"https://openalex.org/C70050531","wikidata":"https://www.wikidata.org/wiki/Q899089","display_name":"Delocalized electron","level":2,"score":0.9312000274658203},{"id":"https://openalex.org/C55637507","wikidata":"https://www.wikidata.org/wiki/Q5870963","display_name":"Quasiperiodic function","level":2,"score":0.9018999934196472},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.635200023651123},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.43059998750686646},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4291999936103821},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39629998803138733},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.37439998984336853},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3450999855995178},{"id":"https://openalex.org/C89464430","wikidata":"https://www.wikidata.org/wiki/Q849516","display_name":"Metastability","level":2,"score":0.3116999864578247},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.29809999465942383},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2797999978065491},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.2741999924182892}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.39514","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39514","pdf_url":"https://arxiv.org/pdf/2610.39514","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.2610.39514","doi":"https://doi.org/10.48550/arxiv.2610.39514","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.39514","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":"pmh:oai:arXiv.org:2610.39514","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39514","pdf_url":"https://arxiv.org/pdf/2610.39514","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/G2940728274","display_name":null,"funder_award_id":"12247101","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"},{"id":"https://openalex.org/G3845103134","display_name":null,"funder_award_id":"B20063","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4221915765","display_name":null,"funder_award_id":"22JR5RA389","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"},{"id":"https://openalex.org/G4299432655","display_name":null,"funder_award_id":"22JR5RA389","funder_id":"https://openalex.org/F4320336698","funder_display_name":"Overseas Expertise Introduction Center for Discipline Innovation of Food Nutrition and Human Health (111 Center)"},{"id":"https://openalex.org/G4565808436","display_name":null,"funder_award_id":"22JR5RA389","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5907335154","display_name":null,"funder_award_id":"12247101","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6506214067","display_name":null,"funder_award_id":"B20063","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7735526052","display_name":null,"funder_award_id":"B20063","funder_id":"https://openalex.org/F4320336698","funder_display_name":"Overseas Expertise Introduction Center for Discipline Innovation of Food Nutrition and Human Health (111 Center)"},{"id":"https://openalex.org/G7768631080","display_name":null,"funder_award_id":"B20063","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"},{"id":"https://openalex.org/G7869622521","display_name":null,"funder_award_id":"2022YFA1402704","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7900980316","display_name":null,"funder_award_id":"22JR5RA389","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8058211760","display_name":null,"funder_award_id":"25JRRA799","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"},{"id":"https://openalex.org/G8417909865","display_name":null,"funder_award_id":"12247101","funder_id":"https://openalex.org/F4320336698","funder_display_name":"Overseas Expertise Introduction Center for Discipline Innovation of Food Nutrition and Human Health (111 Center)"},{"id":"https://openalex.org/G8805052026","display_name":null,"funder_award_id":"12247101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8981695096","display_name":null,"funder_award_id":"12247101","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322880","display_name":"Natural Science Foundation of Gansu Province","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320336698","display_name":"Overseas Expertise Introduction Center for Discipline Innovation of Food Nutrition and Human Health (111 Center)","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224796717.pdf","grobid_xml":"https://content.openalex.org/works/W7224796717.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3156471758","https://openalex.org/W4388526452","https://openalex.org/W4391024008","https://openalex.org/W4381572847","https://openalex.org/W4307887695","https://openalex.org/W4404573996","https://openalex.org/W3197627070","https://openalex.org/W7162765186","https://openalex.org/W3175342173","https://openalex.org/W3118318270"],"abstract_inverted_index":{"Cascade":[0],"of":[1,10,28,52,109,130,144,158],"delocalization":[2,29,53,61,131,145],"transitions":[3,30,54,132,146],"provides":[4,105],"a":[5,14,19,24,32,49,106,116,141,152],"route":[6,153],"to":[7],"multi-step":[8],"control":[9,118,157],"delocalization,":[11],"yet":[12],"achieving":[13],"programmable":[15,156],"periodic":[16,26,50,128],"cascade":[17,27,51,91,113,129],"remains":[18],"challenge.":[20],"Here,":[21],"we":[22],"demonstrate":[23],"tunable":[25,148],"in":[31,80,133],"non-Hermitian":[33,135],"interpolating":[34],"Aubry-Andr\u00e9-Fibonacci":[35],"(IAAF)":[36],"model":[37],"by":[38],"introducing":[39],"an":[40,86],"imaginary":[41,101],"phase":[42,81,102],"shift":[43],"into":[44],"the":[45,57,90,100,112,134],"quasiperiodic":[46],"potential.":[47],"Such":[48],"arises":[55],"from":[56],"competition":[58],"between":[59],"kinetic-energy-facilitated":[60],"and":[62,76,93,122],"gain-loss-regulated":[63],"localization.":[64],"In":[65],"numerical":[66],"static":[67,121],"localization":[68],"characterizations,":[69],"successive":[70],"regular":[71],"stripe":[72],"patterns":[73],"for":[74,89],"localized":[75],"extended":[77],"states":[78],"emerge":[79],"diagrams.":[82],"We":[83],"also":[84],"derive":[85],"analytical":[87],"expression":[88],"period":[92,114],"find":[94],"that":[95],"it":[96],"relies":[97],"solely":[98],"on":[99],"shift.":[103],"This":[104],"direct":[107],"way":[108],"continuously":[110],"tuning":[111],"via":[115],"single":[117],"parameter.":[119],"Complementary":[120],"dynamical":[123],"diagnostics":[124],"consistently":[125],"confirm":[126],"this":[127],"IAAF":[136],"system.":[137],"Our":[138],"findings":[139],"identify":[140],"novel":[142],"class":[143],"with":[147],"cascading":[149],"periods,":[150],"opening":[151],"toward":[154],"experimentally":[155],"delocalization.":[159]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-31T00:00:00"}