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Universal diffusive decay of correlations in gapped one-dimensional systems

  • Solid State and Materials
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Abstract

We apply a semiclassical approach to express finite temperature dynamical correlation functions of gapped spin models analytically. We show that the approach of [Á. Rapp, G. Zaránd, Phys. Rev. B 74, 014433 (2006)] can also be used for the S = 1 antiferromagnetic Heisenberg chain, whose lineshape can be measured experimentally. We generalize our calculations to O(N) quantum spin models and the sine-Gordon model in one dimension, and show that in all these models, the finite temperature decay of certain correlation functions is characterized by the same universal semiclassical relaxation function.

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Authors and Affiliations

  1. Theoretical Physics Department, Institute of Physics, Budapest University of Technology and Economy, Budapest, 1521, Hungary

    Á. Rapp & G. Zaránd

  2. Institut für Theoretische Physik, Universität zu Köln, 50937, Köln, Germany

    Á. Rapp

  3. Institut für Theoretische Festkörper Physik, Universität Karlsruhe, 76128, Karlsruhe, Germany

    G. Zaránd

Authors
  1. Á. Rapp
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  2. G. Zaránd
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Correspondence to Á. Rapp.

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Rapp, Á., Zaránd, G. Universal diffusive decay of correlations in gapped one-dimensional systems. Eur. Phys. J. B 67, 7–13 (2009). https://doi.org/10.1140/epjb/e2008-00465-5

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  • DOI: https://doi.org/10.1140/epjb/e2008-00465-5

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