{
  "id": "2005.13351",
  "version": "v1",
  "published": "2020-05-27T13:31:20.000Z",
  "updated": "2020-05-27T13:31:20.000Z",
  "title": "Inducing anisotropies in Dirac fermions by periodic driving",
  "authors": [
    "A. Diaz-Fernandez"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We consider the three-dimensional Hamiltonian for Bi$_2$Se$_3$, a second-generation topological insulator, under the effect of a periodic drive for both in-plane and out-of-plane fields. As it will be shown by means of high-frequency expansions up to second order in the Floquet Hamiltonian, the driving induces anisotropies in the Dirac cone and opens up a quasienergy gap for in-plane elliptically polarized fields. Analytic expressions are obtained for the renormalized velocities and the quasienergy gap. These expressions are then compared to numerical calculations performed by discretizing the Hamiltonian in a one-dimensional lattice and following a staggered fermion approach, achieving a remarkable agreement. We believe our work may have an impact on the transport properties of topological insulators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-27T13:31:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac fermions",
      "inducing anisotropies",
      "periodic driving",
      "quasienergy gap",
      "second order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}