{
  "id": "1811.04023",
  "version": "v1",
  "published": "2018-11-09T17:17:27.000Z",
  "updated": "2018-11-09T17:17:27.000Z",
  "title": "Zeeman spectroscopy of excitons and hybridization of electronic states in few-layer WSe$_2$, MoSe$_2$ and MoTe$_2$",
  "authors": [
    "Ashish Arora",
    "Maciej Koperski",
    "Artur Slobodeniuk",
    "Karol Nogajewski",
    "Robert Schmidt",
    "Robert Schneider",
    "Maciej R. Molas",
    "Steffen Michaelis de Vasconcellos",
    "Rudolf Bratschitsch",
    "Marek Potemski"
  ],
  "comment": "14 pages, 5 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Monolayers and multilayers of semiconducting transition metal dichalcogenides (TMDCs) offer an ideal platform to explore valley-selective physics with promising applications in valleytronics and information processing. Here we manipulate the energetic degeneracy of the $\\mathrm{K}^+$ and $\\mathrm{K}^-$ valleys in few-layer TMDCs. We perform high-field magneto-reflectance spectroscopy on WSe$_2$, MoSe$_2$, and MoTe$_2$ crystals of thickness from monolayer to the bulk limit under magnetic fields up to 30 T applied perpendicular to the sample plane. Because of a strong spin-layer locking, the ground state A excitons exhibit a monolayer-like valley Zeeman splitting with a negative $g$-factor, whose magnitude increases monotonically when thinning the crystal down from bulk to a monolayer. Using the $\\mathbf{k\\cdot p}$ calculation, we demonstrate that the observed evolution of $g$-factors for different materials is well accounted for by hybridization of electronic states in the $\\mathrm{K}^+$ and $\\mathrm{K}^-$ valleys. The mixing of the valence and conduction band states induced by the interlayer interaction decreases the $g$-factor magnitude with an increasing layer number. The effect is the largest for MoTe$_2$, followed by MoSe$_2$, and smallest for WSe$_2$. Keywords: MoSe$_2$, WSe$_2$, MoTe$_2$, valley Zeeman splitting, transition metal dichalcogenides, excitons, magneto optics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-09T17:17:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electronic states",
      "zeeman spectroscopy",
      "few-layer wse",
      "hybridization",
      "perform high-field magneto-reflectance spectroscopy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}