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On the Peierls transition in the presence of disorder

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Zeitschrift für Physik B Condensed Matter

Abstract

We consider the continuum approximation of a half-filled site-disordered Fröhlich chain in the mean-field approximation. We perform the configurational average over Gaussian-distributed and short-range-correlated potentials by means of the supersymmetry method and obtain an exact analytic formula for the integrated density of states containing many previously known special cases. It enables the minimization of the ground state energy with respect to the Peierls order parameter which is calculated in dependence on two disorder parameters describing forward and umklapp scattering. The Peierls transition proves to be continuous and takes place even if the density of states diverges at the Fermi energy, which eventually happens if only umklapp scattering is present.

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Authors and Affiliations

  1. Wissenschaftsbereich Theoretische Physik Dresden, Technische Universität Dresden, Mommsenstrasse 13, DDR-8027, Dresden, German Democratic Republic

    R. Hayn

  2. Zentralinstitut für Elektronenphysik der Akademie der Wissenschaften der DDR, Hausvogteiplatz 5-7, DDR-1086, Berlin, German Democratic Republic

    H. J. Fischbeck

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  1. R. Hayn
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  2. H. J. Fischbeck
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Hayn, R., Fischbeck, H.J. On the Peierls transition in the presence of disorder. Z. Physik B - Condensed Matter 76, 33–41 (1989). https://doi.org/10.1007/BF01323485

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  • DOI: https://doi.org/10.1007/BF01323485

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