{
  "abstract": "We extend the generalized transfer-matrix method introduced in [H. Ghaemi-Dizicheh, Phys.\\ Rev.\\ B \\textbf{107}, 125155 (2023)] to one-dimensional spinful non-Hermitian tight-binding lattices with matrix-valued Abelian and non-Abelian gauge couplings. We derive a minimal channel-resolved transfer matrix and identify its eigenvalues with the generalized Bloch factors. The same transfer matrix determines the periodic- and open-boundary spectra, generalized Brillouin zone, skin localization, and finite-sample scattering conditions. In the Abelian limit, the model separates into fixed spin sectors, yielding exact spectral results and closed finite-length transport expressions in terms of Chebyshev polynomials. These results reveal bipolar spin-dependent skin localization and distinguish the reciprocal hopping scale, which governs poles, zeros, and reflectionlessness, from the directed-amplification factor controlling transmission asymmetry, transparency, and invisibility. For non-Abelian gauge fields, noncommuting link matrices coherently mix the spin sectors, such that four transfer eigenmodes jointly determine the non-Bloch spectrum and transport eigenchannels. We show that this mixing produces spin-hybridized lasing and coherent-perfect-absorption channels, Zeeman-tunable lasing thresholds, and direction-dependent reflectionless transport accompanied by pronounced spin conversion. The resulting boundary-condition criteria describe lasing, coherent perfect absorption, reflectionlessness, transparency, and invisibility, while identifying spin polarization and conversion as experimentally accessible signatures that distinguish Abelian from non-Abelian non-Hermitian transport.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40317",
  "author_total": 3,
  "authors": [
    {
      "name": "Hamed Ghaemi-Dizicheh"
    },
    {
      "name": "Shahram Dehdashti"
    },
    {
      "name": "Janis Nötzel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cz9r3mj3kaaz2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40317",
  "fulltext_url": null,
  "id": "cz9r3mj3kaaz2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40317",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40317",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cz9r3mj3kaaz2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:28Z",
      "native_id": "2610.40317",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40317"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Transport in spinful non-Hermitian gauge lattices",
  "title_text": "Transport in spinful non-Hermitian gauge lattices",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/cz9r3mj3kaaz2",
  "venue": "arXiv",
  "versions": []
}