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Excluded Volume Effects for Frequency Moments of the Spin Autocorrelation Function of the Heisenberg Model on a Square Lattice at High Temperatures

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Abstract

The expansion coefficients in powers of time (or frequency moments) of the spin autocorrelation function are represented at the simple self-consistent approximation as a sum of weighted trees on a Bethe lattice. Using the computer numeration and the Monte Carlo method for self-avoidingly embedding these trees on the square lattice, we estimate the moments and the convergence radius of the expansion. We show that the moments decrease and the radius increases in consequence of the volume exclusion.

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Authors and Affiliations

  1. L. V. Kirensky Institute of Physics, Russian Academy of Sciences, Siberian Branch, 660036, Krasnoyarsk, Russia

    V. E. Zobov

  2. Krasnoyarsk State University, 660041, Krasnoyarsk, Russia

    M. A. Popov

Authors
  1. V. E. Zobov
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  2. M. A. Popov
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Zobov, V.E., Popov, M.A. Excluded Volume Effects for Frequency Moments of the Spin Autocorrelation Function of the Heisenberg Model on a Square Lattice at High Temperatures. Journal of Statistical Physics 97, 793–802 (1999). https://doi.org/10.1023/A:1004675527713

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  • DOI: https://doi.org/10.1023/A:1004675527713

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