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Transport properties of the disordered charged bose condensate in two dimensions

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Zeitschrift für Physik B Condensed Matter

Abstract

Analytical results for the frequency-dependent conductivity of a disordered two-dimensional interacting Bose condensate are presented. Charged and uncharged impurities are considered. We find that for weak disorder the condensate is a superfluid while for strong disorder it is an insulator (a Bose glass). At the superfluid-insulator transition point (at the critical boson densityN c) the condensate exhibits metallic tranport properties. An loffe-Regel criterion for the transition point is derived. The conductivity at the transition point is of ordere 2/h (h is Planck's constant) and depends on the kind of disorder. For charged impurities (with impurity densityN i) the conductivity (for a condensate of particles with charge 2e and forN i=2N c) at the transition point is given by σ c =0.26x(2e)2/h. We discuss recent experiments on superconducting ultra-thin films and on high-T c superconductors.

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  1. A. Gold

    Present address: Laboratoire de Physique des Solides, Université Paul Sabatier, 118, Route de Narbonne, F-31062, Toulouse Cedex, France

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  1. Department of Physics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    A. Gold

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Gold, A. Transport properties of the disordered charged bose condensate in two dimensions. Z. Physik B - Condensed Matter 83, 429–440 (1991). https://doi.org/10.1007/BF01313414

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