{
  "id": "2402.18369",
  "version": "v2",
  "published": "2024-02-28T14:44:57.000Z",
  "updated": "2024-08-03T11:34:32.000Z",
  "title": "Topological charge and spin Hall effects due to skyrmions in canted antiferromagnets",
  "authors": [
    "A. N. Zarezad",
    "A. Qaiumzadeh",
    "J. Barnaś",
    "A. Dyrdał"
  ],
  "comment": "15 pages, 9 figures; version as accepted to PRB",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The topological charge-Hall effect (TCHE) and the topological spin-Hall effect (TSHE), arising from ferromagnetic (FM) and antiferromagnetic (AFM) skyrmions, respectively; can be elucidated through the emergence of spin-dependent Berry gauge fields that affect the adiabatic flow of electrons within the skyrmion texture. TCHE is absent in systems with parity-time (PT) symmetry, such as collinear AFM systems. In this paper, we theoretically study TCHE and TSHE in a canted antiferromagnetic within the diffusive transport regime. Spin canting or weak ferromagnetism in canted AFMs, which break the PT symmetry, may arise, e.g., from strong homogeneous Dzyaloshinskii-Moriya interactions. Using a semiclassical Boltzmann approach, we obtain diffusion equations for the spin and charge accumulations in the presence of finite spin-flip and spin-dependent momentum relaxation times. We show that the weak ferromagnetic moment stemming from spin canting and the subsequent breaking of parity-time symmetry results in the emergence of both finite TCHE and TSHE in AFM systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-08-03T11:34:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin hall effects",
      "topological charge",
      "canted antiferromagnets",
      "spin-dependent berry gauge fields",
      "spin-dependent momentum relaxation times"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}