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Synchronization, zero-resistance states and rotating Wigner crystal

  • Statistical and Nonlinear Physics
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Abstract.

We show, in a framework of a classical nonequilibrium model, that rotational angles of electrons moving in two dimensions (2D) in a perpendicular magnetic field can be synchronized by an external microwave field whose frequency is close to the Larmor frequency. The synchronization eliminates collisions between electrons and thus creates a regime with zero diffusion corresponding to the zero-resistance states observed in experiments with high mobility 2D electron gas (2DEG). For long range Coulomb interactions electrons form a rotating hexagonal Wigner crystal. Possible relevance of this effect of synchronization-induced self-assembly for planetary rings is discussed.

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Authors and Affiliations

  1. École Normale Supérieure, 45, rue d'Ulm, 75231, Paris Cedex 05, France

    A. D. Chepelianskii

  2. Department of Physics, University of Potsdam, Am Neuen Palais 10, D-14469, Potsdam, Germany

    A. S. Pikovsky & D. L. Shepelyansky

  3. Laboratoire de Physique Théorique, UMR 5152 du CNRS, Université Toulouse III, 31062, Toulouse, France

    D. L. Shepelyansky

Authors
  1. A. D. Chepelianskii
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  2. A. S. Pikovsky
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  3. D. L. Shepelyansky
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Chepelianskii, A., Pikovsky, A. & Shepelyansky, D. Synchronization, zero-resistance states and rotating Wigner crystal. Eur. Phys. J. B 60, 225–229 (2007). https://doi.org/10.1140/epjb/e2007-00341-x

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  • DOI: https://doi.org/10.1140/epjb/e2007-00341-x

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