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Quantum Brownian motion in a one-dimensional disordered system

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Zeitschrift für Physik B Condensed Matter

Abstract

We study the diffusion of a quantum Brownian particle in a one-dimensional periodic potential with substitutional disorder. The particle is coupled to a dissipative environment, which induces a frictional force proportional to the velocity. The dynamics for arbitrary temperature is studied by using Feynman's influence-functional theory. We calculate the mobility to lowest order in the disorder and strength of the periodic potential. It is shown that for weak dissipation the linear mobility, which vanishes atT=0 due to localization effects, may exhibit a maximum and a subsequent minimum with increasing temperature. The relation to the diffusion of heavy particles in metals or doped semiconductors is briefly discussed.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität, Bunsenstrasse 9, W-3400, Göttingen, Federal Republic of Germany

    Norbert Janssen & Wilhelm Zwerger

Authors
  1. Norbert Janssen
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  2. Wilhelm Zwerger
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Janssen, N., Zwerger, W. Quantum Brownian motion in a one-dimensional disordered system. Z. Physik B - Condensed Matter 83, 441–446 (1991). https://doi.org/10.1007/BF01313415

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  • DOI: https://doi.org/10.1007/BF01313415

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