{
  "id": "2012.08753",
  "version": "v1",
  "published": "2020-12-16T06:05:15.000Z",
  "updated": "2020-12-16T06:05:15.000Z",
  "title": "Intrinsic Hall conductivities induced by the orbital magnetic moment",
  "authors": [
    "Kamal Das",
    "Amit Agarwal"
  ],
  "comment": "6 pages, 4 figures. Any feedback will be highly appreciated",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely quantum mechanical, {\\it intrinsic} (scattering time-independent) component of the Hall conductivities in the presence of a magnetic field. We show that the orbital magnetic moment and the anomalous Hall velocity combine to generate a scattering time-independent contribution to the Hall effect, in addition to the Lorentz force induced scattering time-dependent `classical' Hall effect. This dissipation-less Hall effect also manifests in the thermo-electric and thermal conductivities and is dominant near the band edges and band-crossings. It gives rise to negative magneto-resistance and it also leads to an underestimation in the charge carrier density measured in Hall experiments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-16T06:05:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orbital magnetic moment",
      "intrinsic hall conductivities",
      "electronic wave-functions geometric nature",
      "scattering time-independent",
      "lorentz force induced scattering time-dependent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}