{
  "id": "1110.5366",
  "version": "v1",
  "published": "2011-10-24T22:24:39.000Z",
  "updated": "2011-10-24T22:24:39.000Z",
  "title": "Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique",
  "authors": [
    "Sanjay Prabhakar",
    "James Raynolds",
    "Akira Inomata",
    "Roderick Melnik"
  ],
  "comment": "11 pages, 6 figures",
  "journal": "Phys. Rev. B 82, 195306 (2010)",
  "doi": "10.1103/PhysRevB.82.195306",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The spin of a single electron in an electrically defined quantum dot in a 2DEG can be manipulated by moving the quantum dot adiabatically in a closed loop in the 2D plane under the influence of applied gate potentials. In this paper we present analytical expressions and numerical simulations for the spin-flip probabilities during the adiabatic evolution in the presence of the Rashba and Dresselhaus linear spin-orbit interactions. We use the Feynman disentanglement technique to determine the non-Abelian Berry phase and we find exact analytical expressions for three special cases: (i) the pure Rashba spin-orbit coupling, (ii) the pure Dresselhause linear spin-orbit coupling, and (iii) the mixture of the Rashba and Dresselhaus spin-orbit couplings with equal strength. For a mixture of the Rashba and Dresselhaus spin-orbit couplings with unequal strengths, we obtain simulation results by solving numerically the Riccati equation originating from the disentangling procedure. We find that the spin-flip probability in the presence of the mixed spin-orbit couplings is generally larger than those for the pure Rashba case and for the pure Dresselhaus case, and that the complete spin-flip takes place only when the Rashba and Dresselhaus spin-orbit couplings are mixed symmetrically.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-24T22:24:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.-w"
    ],
    "keywords": [
      "single electron spin",
      "gaas quantum dot",
      "feynman disentangling technique",
      "dresselhaus spin-orbit couplings",
      "geometric phases"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2010,
      "month": "Nov",
      "volume": 82,
      "number": 19,
      "pages": 195306
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..82s5306P"
    }
  }
}