{
  "abstract": "We investigate localization in a non-Hermitian quasiperiodic lattice with a real quasiperiodic onsite potential of strength $W$ and a staggered imaginary quasiperiodic modulation of strength $λ$. Using the inverse participation ratio (IPR), normalized participation ratio (NPR), fractal dimension $D_2$, transfer-matrix Lyapunov exponent, and wave-packet dynamics, we find a strongly non-monotonic and state-dependent response. At fixed $λ$, varying $W$ yields two distinct delocalization windows, whereas varying $λ$ at fixed $W$ produces a single re-entrant delocalization window. These regimes arise within selected eigenstate sectors, where localized states coexist with extended or critical states, leading to mobility-edge-like behavior. The corresponding suppression of the Lyapunov exponent and enhancement of the dynamical RMS spreading are consistent with the IPR, NPR, and $D_2$ results. Finite-size scaling confirms the persistence of the re-entrant features, while the complex-energy spectrum resolves their state-selective structure. The resulting phase boundaries delineate distinct localization regimes in the $(W,λ)$ plane. Our results show that the interplay between quasiperiodicity and a staggered non-Hermitian modulation sharing the same quasiperiodic spatial structure can generate re-entrant, state-dependent localization, with implications for localization and dynamics in non-Hermitian quasiperiodic lattices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03562",
  "author_total": 2,
  "authors": [
    {
      "name": "Souvik Roy"
    },
    {
      "name": "Santanu K. Maiti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6pch743kwk33z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03562",
  "fulltext_url": null,
  "id": "6pch743kwk33z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03562",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.other"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03562",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6pch743kwk33z.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:04Z",
      "native_id": "2611.03562",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03562"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Multiple windows of eigenstate-selective delocalization in a non-Hermitian quasiperiodic lattice",
  "title_text": "Multiple windows of eigenstate-selective delocalization in a non-Hermitian quasiperiodic lattice",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:21Z",
  "url": "https://research.draconitic.com/paper/6pch743kwk33z",
  "venue": "arXiv",
  "versions": []
}