{"paper":{"title":"Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A non-Hermitian quasicrystal model hosts a topological Anderson insulator that coexists with a multifractal critical phase.","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Qi-Bo Zeng, Rong L\\\"u","submitted_at":"2026-02-15T07:12:55Z","abstract_excerpt":"The interplay of topology, disorder, and non-Hermiticity gives rise to phenomena beyond the conventional classification of quantum phases. We propose a one-dimensional non-Hermitian Su-Schrieffer-Heeger model with quasiperiodically modulated nonreciprocal intracell hopping. We show that quasiperiodic modulation can substantially enhance the topological regime and, remarkably, induce a non-Hermitian topological Anderson insulator (TAI) phase. Beyond the topological transition, increasing nonreciprocity drives a cascade of localization transitions in which all bulk eigenstates evolve from extend"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We uncover an unanticipated coexistence of TAI and multifractal critical phases. We establish complete phase diagrams and derive exact analytical boundaries for both topological and localization transitions.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The specific functional form of the quasiperiodic modulation of the nonreciprocal intracell hopping is assumed to permit exact analytical solutions for the phase boundaries; if this functional choice is not generic, the reported coexistence and exact boundaries may be model-specific rather than universal.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A non-Hermitian quasicrystal model exhibits coexistence of a topological Anderson insulator phase and a multifractal critical phase, with exact analytical boundaries for both topological and localization transitions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A non-Hermitian quasicrystal model hosts a topological Anderson insulator that coexists with a multifractal critical phase.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"4190d21719f5ba1cfe3c7d13afdd213efdc8af7a2a8ee6e1efc63217f23fc63f"},"source":{"id":"2602.14026","kind":"arxiv","version":2},"verdict":{"id":"2248c5ce-09ca-42fb-800d-27f9b4098d44","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T22:23:04.592980Z","strongest_claim":"We uncover an unanticipated coexistence of TAI and multifractal critical phases. We establish complete phase diagrams and derive exact analytical boundaries for both topological and localization transitions.","one_line_summary":"A non-Hermitian quasicrystal model exhibits coexistence of a topological Anderson insulator phase and a multifractal critical phase, with exact analytical boundaries for both topological and localization transitions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The specific functional form of the quasiperiodic modulation of the nonreciprocal intracell hopping is assumed to permit exact analytical solutions for the phase boundaries; if this functional choice is not generic, the reported coexistence and exact boundaries may be model-specific rather than universal.","pith_extraction_headline":"A non-Hermitian quasicrystal model hosts a topological Anderson insulator that coexists with a multifractal critical phase."},"references":{"count":92,"sample":[{"doi":"","year":2010,"title":"M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys.82,3045 (2010)","work_id":"f3d2c613-cc39-4d8a-817e-ede7f9e424e3","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2011,"title":"X.-L. Qi and S.-C. Zhang, Topological insulators and su- perconductors, Rev. Mod. Phys.83,1057 (2011)","work_id":"ac7ef8b5-34ce-4b16-b916-e1452c4170bd","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2018,"title":"N. P. Armitage, E. J. Mele, and A. Vishwanath, Weyl and Dirac semimetals in three-dimensional solids, Rev. Mod. Phys.90,015001 (2018)","work_id":"0dd05f52-ee67-4e93-ae71-2d8a1ad3df5f","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"H. Cao and J. Wiersig, Dielectric microcavities: Model systems for wave chaos and non-Hermitian physics, Rev. Mod. Phys.87,61 (2015)","work_id":"c2c6df13-fc05-4ad4-aac0-d03d0954364c","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2016,"title":"V. V. Konotop, J. Yang, and D. A. Zezyulin, Nonlinear waves in PT-symmetric systems, Rev. Mod. Phys.88, 035002 (2016)","work_id":"d97ad7a9-5447-4820-85e9-e0b00458be35","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":92,"snapshot_sha256":"529244bfc38c21a1e8d2f6f6ecac1da25ae6e2e977621e3988be22452028b64b","internal_anchors":3},"formal_canon":{"evidence_count":2,"snapshot_sha256":"fb72c4ea4b638a00c11661bbcafab3fb557b67e4771ef0b1653e6a1e70283b29"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}