{
  "id": "cond-mat/0512662",
  "version": "v3",
  "published": "2005-12-26T23:35:50.000Z",
  "updated": "2006-06-19T14:19:05.000Z",
  "title": "Semiclassical Theory of Quantum Chaotic Transport: Phase-Space Splitting, Coherent Backscattering and Weak Localization",
  "authors": [
    "Ph. Jacquod",
    "Robert S. Whitney"
  ],
  "comment": "Typos in central eqns corrected (this paper supersedes cond-mat/0509186) 20pages",
  "journal": "Phys. Rev. B 73, 195115 (2006)",
  "doi": "10.1103/PhysRevB.73.195115",
  "categories": [
    "cond-mat.mes-hall",
    "nlin.CD"
  ],
  "abstract": "We investigate transport properties of quantized chaotic systems in the short wavelength limit. We focus on non-coherent quantities such as the Drude conductance, its sample-to-sample fluctuations, shot-noise and the transmission spectrum, as well as coherent effects such as weak localization. We show how these properties are influenced by the emergence of the Ehrenfest time scale $\\tE$. Expressed in an optimal phase-space basis, the scattering matrix acquires a block-diagonal form as $\\tE$ increases, reflecting the splitting of the system into two cavities in parallel, a classical deterministic cavity (with all transmission eigenvalues either 0 or 1) and a quantum mechanical stochastic cavity. This results in the suppression of the Fano factor for shot-noise and the deviation of sample-to-sample conductance fluctuations from their universal value. We further present a semiclassical theory for weak localization which captures non-ergodic phase-space structures and preserves the unitarity of the theory. Contrarily to our previous claim [Phys. Rev. Lett. 94, 116801 (2005)], we find that the leading off-diagonal contribution to the conductance leads to the exponential suppression of the coherent backscattering peak and of weak localization at finite $\\tE$. This latter finding is substantiated by numerical magnetoconductance calculations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-06-19T14:19:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak localization",
      "quantum chaotic transport",
      "semiclassical theory",
      "coherent backscattering",
      "phase-space splitting"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}