{
  "id": "1311.1126",
  "version": "v1",
  "published": "2013-11-05T17:15:39.000Z",
  "updated": "2013-11-05T17:15:39.000Z",
  "title": "Effect of magnetic field on resonant tunneling in 3D waveguides of variable cross-section",
  "authors": [
    "L. M. Baskin",
    "B. A. Plamenevskii",
    "O. V. Sarafanov"
  ],
  "comment": "22 pages, 3 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider an infinite three-dimensional waveguide that far from the coordinate origin coincides with a cylinder. The waveguide has two narrows of diameter $\\varepsilon$. The narrows play the role of effective potential barriers for the longitudinal electron motion. The part of waveguide between the narrows becomes a \"resonator\"\\, and there can arise conditions for electron resonant tunneling. A magnetic field in the resonator can change the basic characteristics of this phenomenon. In the presence of a magnetic field, the tunneling phenomenon is feasible for producing spin-polarized electron flows consisting of electrons with spins of the same direction. We assume that the whole domain occupied by a magnetic field is in the resonator. An electron wave function satisfies the Pauli equation in the waveguide and vanishes at its boundary. Taking $\\varepsilon$ as a small parameter, we derive asymptotics for the probability $T(E)$ of an electron with energy $E$ to pass through the resonator, for the \"resonant energy\"\\,$E_{res}$, where $T(E)$ takes its maximal value, and for some other resonant tunneling characteristics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-05T17:15:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic field",
      "resonant tunneling",
      "3d waveguides",
      "variable cross-section",
      "spin-polarized electron flows consisting"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.1126B"
    }
  }
}