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Klein Tunneling In The Presence Of Random Impurities

Author

Listed:
  • S. PALPACELLI

    (Numidia s.r.l., via Giacomo Peroni, 130, 00131 Roma, Italy)

  • M. MENDOZA

    (ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Schafmattstrasse 6, HIF, CH-8093 Zürich, Switzerland)

  • H. J. HERRMANN

    (ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Schafmattstrasse 6, HIF, CH-8093 Zürich, Switzerland)

  • S. SUCCI

    (Istituto per le Applicazioni del Calcolo C.N.R., Via dei Taurini, 19, 00185, Roma, Italy;
    Freiburg Institute for Advanced Studies, Albertstrasse, 19, D-79104 Freiburg, Germany)

Abstract

In this paper, we study Klein tunneling in random media. To this purpose, we simulate the propagation of a relativistic Gaussian wave packet through a disordered medium with randomly distributed potential barriers (impurities). The simulations, based on a relativistic quantum lattice Boltzmann (QLB) method, permit to compute the transmission coefficient across the sample, thereby providing an estimate for the conductivity (or permeability) as a function of impurity concentration and strength of the potentials. It is found that the conductivity loss due to impurities is significantly higher for wave packets of massive particles, as compared to massless ones. A general expression for the loss of conductivity as a function of the impurity percentage is presented and successfully compared with the Kozeny–Carman law for disordered media in classical fluid-dynamics.

Suggested Citation

  • S. Palpacelli & M. Mendoza & H. J. Herrmann & S. Succi, 2012. "Klein Tunneling In The Presence Of Random Impurities," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(12), pages 1-24.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:12:n:s0129183112500805
    DOI: 10.1142/S0129183112500805
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