{
  "abstract": "The layer Hall effect provides a prototypical example of a hidden layer response in van der Waals bilayers: opposite layers carry compensating Hall currents at zero out-of-plane electric field, while an applied out-of-plane electric field $E_z$ selects one layer over the other and switches the net Hall response. Here we show that this field-switching mechanism is not restricted to Hall transport, but follows from a general symmetry principle for response tensors. We formulate a selection rule for the layer tensor effect (LTE) using Jahn symbols. For a tensor with Jahn symbol $J$ and rank $r$, the stacking operation that exchanges the two layers acts as a coset representative relating the $+E_z$ and $-E_z$ states. Tensor components that are odd under this operation are forced to cancel between layers at $E_z=0$, and acquire a macroscopic response satisfying $T_α(+E_z)=-T_α(-E_z)$. This criterion allows us to enumerate the symmetry-allowed electrically reversible tensor components associated with different Jahn symbols and to identify their physical realizations in common response tensors. We apply the theory to representative anomalous Hall, shift-current, nonlinear Drude, piezoelectric, spin Hall, and spin-photocurrent channels. Model calculations and first-principles simulations further confirm the predicted field-odd responses. Our results establish an electrically switchable LTE framework, providing a unified route to multifunctional layertronic responses in bilayer materials.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34067",
  "author_total": 6,
  "authors": [
    {
      "name": "Zehou Li"
    },
    {
      "name": "Shenda He"
    },
    {
      "name": "Pan Zhou"
    },
    {
      "name": "Baoru Pan"
    },
    {
      "name": "Rui Tan"
    },
    {
      "name": "Lizhong Sun"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ewdbasjjsap8f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34067",
  "fulltext_url": null,
  "id": "ewdbasjjsap8f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34067",
  "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.other"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.34067",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ewdbasjjsap8f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34067",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34067"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.other",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Electrically Reversible Layer-Tensor Responses in Bilayers",
  "title_text": "Electrically Reversible Layer-Tensor Responses in Bilayers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/ewdbasjjsap8f",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/2zmv-g9md",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}