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The Long-Distance Asymptotics for the Correlation Function of the Third Spin Components in the XX0 Model with Interaction Through Two Sites

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Abstract

The XX0 chain in the external magnetic field directed along the z axis is discussed. The Hamiltonian describing the exchange interaction between two and four neighboring sites of the chain is constructed. An integral representation for the equal-time temperature correlation function of the third spin components is given. From the long-distance asymptotic of this correlation function, the correlation radius is calculated and its low-temperature behavior is studied. Bibliography: 11 titles.

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Authors and Affiliations

  1. St.Petersburg Department of the, Steklov Mathematical Institute, Russia

    M. B. Zvonarev, A. G. Izergin & A. G. Pronko

Authors
  1. M. B. Zvonarev
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  2. A. G. Izergin
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  3. A. G. Pronko
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Zvonarev, M.B., Izergin, A.G. & Pronko, A.G. The Long-Distance Asymptotics for the Correlation Function of the Third Spin Components in the XX0 Model with Interaction Through Two Sites. Journal of Mathematical Sciences 115, 2002–2008 (2003). https://doi.org/10.1023/A:1022603930233

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