{
  "id": "2008.03177",
  "version": "v1",
  "published": "2020-08-07T13:38:46.000Z",
  "updated": "2020-08-07T13:38:46.000Z",
  "title": "Semiconductor-Bloch Formalism: Derivation and Application to High-Harmonic Generation from Dirac Fermions",
  "authors": [
    "Jan Wilhelm",
    "Patrick Grössing",
    "Jack Crewse",
    "Maximilian Nitsch",
    "Leonard Weigl",
    "Christoph Schmid",
    "Ferdinand Evers"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "physics.optics"
  ],
  "abstract": "We rederive the semiconductor Bloch equations emphasizing the close link to the Berry connection. Our rigorous derivation reveals the existence of a third contribution to the (longitudinal) current in addition to the traditional intraband and polarization-related interband terms. The novel term becomes sizable in situations where the dipole-matrix elements are strongly wave-number dependent. We apply the formalism to high-harmonic generation for a Dirac metal. The novel term adds to the frequency-dependent emission intensity (high-harmonic spectrum) significantly at certain frequencies reaching up to 90% of the total signal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-07T13:38:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "high-harmonic generation",
      "dirac fermions",
      "semiconductor-bloch formalism",
      "derivation",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}