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Dynamical Systems, Topology, and Conductivity in Normal Metals

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Abstract

We present here a complete description of all asymptotic regimes of conductivity in the so-called “Geometric Strong Magnetic Field limit” in the 3D single crystal normal metals with topologically complicated Fermi surfaces. In particular, new observable integer-valued characteristics of conductivity of topological origin were introduced by the present authors a few years ago; they are based on the notion of Topological Resonance which plays a basic role in the total picture. Our investigation is based on the study of dynamical systems on Fermi surfaces for the semi-classical motion of electrons in a magnetic field.

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Authors and Affiliations

  1. L. D. Landau Institute for Theoretical Physics, 119334, ul. Kosygina 2, Moscow

    A. Ya. Maltsev & S. P. Novikov

  2. IPST, University of Maryland, College Park, Maryland, 20742-2431

    S. P. Novikov

Authors
  1. A. Ya. Maltsev
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  2. S. P. Novikov
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Maltsev, A.Y., Novikov, S.P. Dynamical Systems, Topology, and Conductivity in Normal Metals. Journal of Statistical Physics 115, 31–46 (2004). https://doi.org/10.1023/B:JOSS.0000019835.01125.92

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  • DOI: https://doi.org/10.1023/B:JOSS.0000019835.01125.92

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