{
  "id": "2201.10880",
  "version": "v1",
  "published": "2022-01-26T11:32:45.000Z",
  "updated": "2022-01-26T11:32:45.000Z",
  "title": "Non-adiabatic corrections to a chiral anomaly in topological nodal semimetals",
  "authors": [
    "Matej Badin"
  ],
  "comment": "10 pages including Appendices, 13 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Studying many-body versions of Landau-Zener-like problem of non-interacting yet entangled electrons for several $k \\cdot p$ models representing Weyl and Dirac semimetals, we systematically include non-adiabatic corrections to the quantum limit of the interband channel of conductivity connected to the chiral anomaly. Our study shows that a relative homotopy invariant [Sun, X. et al., Phys. Rev. Lett. 121, 106402 (2018)] and Euler class invariant [Bouhon, A. et al., Nat. Phys. 16, 1137-1143 (2020)] manifest in this conductivity channel. Moreover, we show that for non-symmorphic systems this contribution is sensitive to the direction of the applied magnetic field which suggests that the conjectured direction-selective chiral anomaly in non-symmorphic systems [Bzdu\\v{s}ek, T. et al., Nature 538, 75-78 (2016)] could lead to a strongly anisotropic longitudinal magnetoresistance. The presented approach can be easily applied to other $k \\cdot p$ or tight-binding models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-26T11:32:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological nodal semimetals",
      "non-adiabatic corrections",
      "chiral anomaly",
      "non-symmorphic systems",
      "strongly anisotropic longitudinal magnetoresistance"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}