{
  "id": "1711.02982",
  "version": "v1",
  "published": "2017-11-08T14:56:10.000Z",
  "updated": "2017-11-08T14:56:10.000Z",
  "title": "Four-Wave Mixing in Two-dimensional Transition Metal Dichalcogenides",
  "authors": [
    "Sina Khorasani"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "We present a detailed calculation of the linear and nonlinear optical response of four types of monolayer Two-Dimensional (2D) Transition-Metal Dichalcogenides (TMDCs), having the formula $\\textrm{MX}_2$ with M=Mo,W and X=S,Se. The calculations are based on 6-band tight-binding model of TMDCs, and then performing a semiclassical perturbation analysis of response functions. We numerically calculate the linear $\\chi_{\\mu\\nu}^{(1)}(-\\omega;\\omega)$ and nonlinear surface susceptibility tensors $\\chi_{\\mu\\nu\\zeta\\eta}^{(3)} (-\\omega_\\Sigma;\\omega_r,\\omega_s,\\omega_t)$ with $\\omega_\\Sigma=\\omega_r+\\omega_s+\\omega_t$. Both non-degenerate and degenerate cases are studied for third-harmonic generation and nonlinear refractive index, respectively. Computational results obtained \\textit{with no external fitting parameters} are discussed regarding two recent reported experiments on ${\\rm MoS}_2$, and thus we can confirm the extraordinarily strong optical nonlinearity of TMDCs. As a possible application, we demonstrate generation of a $\\frac{\\pi}{4}-$rotated squeezed state by means of nonlinear response of TMDCs, in a silica micro-disk resonator covered with the 2D material. Our proposed method will enable accurate calculations of nonlinear optical response, such as four-wave mixing and high-harmonic generation in 2D materials and their heterostructures, thus enabling study of novel functionalities of 2D photonic integrated circuits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-08T14:56:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional transition metal dichalcogenides",
      "four-wave mixing",
      "nonlinear optical response",
      "2d material",
      "nonlinear surface susceptibility tensors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}