{
  "id": "2305.13423",
  "version": "v1",
  "published": "2023-05-22T19:14:08.000Z",
  "updated": "2023-05-22T19:14:08.000Z",
  "title": "Dependence of topological phase on nuclear spin $S$ and spin modulation vector in van der Waals Magnets",
  "authors": [
    "Kaushal K. Kesharpu"
  ],
  "comment": "9 Pages, 5 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Recently non-chiral spin structures on the surface of the van der Waals (vdW) magnets have been observed down to monolayers. We provide a Hamiltonian to analyze the electronic properties of these materials. The Hamiltonian takes into account the arbitrary background spin structures and large atomic spin $S$ of the materials. The large spin-\\emph{S} treatment is necessary as magnetic atoms of the vdW magnets can have spin $S > 1/2$. In this work the Hamiltonian is solved for the spin spirals with azimuthal and polar degrees of freedom -- this spin structure was recently observed in Fe$_{3}$GeTe$_{2}$. We methodically analyze the Hamiltonian for both integer and half-integer spins in the honeycomb lattice. It shows emerging topological hall effect emerges irrespective of the spin. The Chern number, hence the topological phase, depends on the spin \\emph{S}, and interestingly only on the azimuthal angle of the spin vector. These results will be useful for the design of the topological electronics devices based on vdW magnets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-22T19:14:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "van der waals magnets",
      "spin modulation vector",
      "topological phase",
      "nuclear spin",
      "topological hall effect emerges"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}