{
  "id": "2103.05901",
  "version": "v1",
  "published": "2021-03-10T07:03:38.000Z",
  "updated": "2021-03-10T07:03:38.000Z",
  "title": "Finite transverse conductance and anisotropic magnetoconductance in spin orbit coupled two dimensional electron gas under an applied in-plane magnetic field",
  "authors": [
    "Abhiram Soori"
  ],
  "comment": "6 pages, 7 captioned figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The current in response to a bias in certain two-dimensional electron gas (2DEG), can have a nonzero transverse component under a finite magnetic field applied in the plane where electrons are confined. Typically, this is accompanied by dependencies of both the longitudinal and the transverse components of current on the angle $\\phi$ between the bias direction and the magnetic field. This happens in a variety of systems, for example in topological insulators where spin-orbit coupling (SOC) is the root cause for the effect. In 2DEG with SOC such as oxide interfaces, this effect has been experimentally witnessed. Further, a fourfold oscillation in longitudinal resistance as a function of $\\phi$ has also been observed. Motivated by these, we perform scattering theory calculations on a 2DEG with SOC in presence of an in-plane magnetic field connected to two dimensional leads on either sides to obtain longitudinal and transverse conductances. We find that the longitudinal conductance is $\\pi$-periodic and the transverse conductance is $2\\pi$-periodic in $\\phi$. The magnitude of oscillation in transverse conductance with $\\phi$ is enhanced in certain patches in $(\\alpha,b)$-plane where $\\alpha$ is the strength of SOC and $b$ is Zeeman energy due to magnetic field. The oscillation in transverse conductance with $\\phi$ can be highly multi-fold for large values of $\\alpha$ and $b$. The highly multi-fold oscillations of transverse conductance are due to Fabry-P\\'erot type interference between the modes in the central region as backed by its length dependent features.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-10T07:03:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "applied in-plane magnetic field",
      "finite transverse conductance",
      "dimensional electron gas",
      "anisotropic magnetoconductance",
      "spin orbit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}