{
  "abstract": "Two-dimensional layers coupled by position-dependent interlayer tunnelling host a layer pseudo-spin whose polarization is a controllable internal degree of freedom. We introduce the quantum geometry of this layer pseudo-spin: a mixed tensor formed from the interband Berry connection and the layer matrix element, which governs the response to an oscillating in-plane electric field. Because the layer pseudo-spin is an Ising-type scalar invariant under threefold rotation, its selection rules differ from those of a pseudovector spin. In a minimal two-band model, the layer-pseudo-spin quantum metric and Zeeman--Berry curvature are nonzero, while their zone integrals vanish. An in-plane drive therefore leaves the spatially averaged polarization unchanged at linear order but imprints a moiré-periodic intracell pattern, directly imageable by layer-resolved tunnelling. For twisted MoTe$_2$ bilayer, we quantify the local dipole modulation and identify the rectified, helicity-odd, and third-harmonic channels through which a net response appears at higher order.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26982",
  "author_total": 2,
  "authors": [
    {
      "name": "Bingxuan Jiang"
    },
    {
      "name": "Shihao Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8fjsngss3rrtk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26982",
  "fulltext_url": null,
  "id": "8fjsngss3rrtk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26982",
  "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.mtrl-sci"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7223149533",
  "pdf_url": "https://arxiv.org/pdf/2610.26982",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8fjsngss3rrtk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.26982",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26982"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Zeeman Quantum Geometry of the Layer Pseudo-spin",
  "title_text": "Zeeman Quantum Geometry of the Layer Pseudo-spin",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/8fjsngss3rrtk",
  "venue": "arXiv",
  "versions": []
}