Quantum corrections to the conductivity and periodic orbits: Integrable systems

Authors

  • Gregor Hackenbroich,

    1. Max-Planck-Institut für Kernphysik, Postfach 103980, 69029 Heidelberg, Germany
    2. Yale University, Department of Applied Physics, 15 Prospect Street, New Haven, CT 06520, USA
    Current affiliation:
    1. Yale University, Department of Applied Physics, 15 Prospect Street, New Haven, CT 06520, USA
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  • Felix von Oppen

    1. Max-Planck-Institut für Kernphysik, Postfach 103980, 69029 Heidelberg, Germany
    2. Department of Condensed Matter Physics, Weizmann Institute of Science, 76100 Rehovot, Israel
    Current affiliation:
    1. Department of Condensed Matter Physics, Weizmann Institute of Science, 76100 Rehovot, Israel
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Abstract

We extend the recently developed semiclassical theory for the conductivity to periodic semiconductor structures whose classical dynamics is integrable. We find that the conductivity of integrable systems exhibits quantum oscillations as function of magnetic field and Fermi energy which are closely related to both the Shubnikov-de Haas oscillations and the oscillations observed in the conductivity of antidot lattices. A general expression for the quantum oscillations is derived which is analogous to the Berry-Tabor formula for the spectral density of integrable systems.

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