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Cluster algorithms for anisotropic quantum spin models

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Abstract

We present cluster Monte Carlo algorithms for theXYZ quantum spin models. In the special case ofS=1/2, the new algorithm can be viewed as a cluster algorithm for the 8-vertex model. As an example, we study theS=1/2XY model in two dimensions with a representation in which the quantization axis lies in the easy plane. We find that the numerical autocorrelation time for the cluster algorithm remains of the order of unity and does not show any significant dependence on the temperature, the system size, or the Trotter number. On the other hand, the autocorrelation time for the conventional algorithm strongly depends on these parameters and can be very large. The use of improved estimators for thermodynamic averages further enhances the efficiency of the new algorithms.

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Authors and Affiliations

  1. Los Alamos National Laboratory, Center for Nonlinear Studies and Theoretical Division, 87545, Los Alamos, New Mexico

    Naoki Kawashima

  2. Department of Physics, University of Tokyo, Hongo 7-3-1, Bunkyo, Tokyo, Japan

    Naoki Kawashima

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  1. Naoki Kawashima
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Kawashima, N. Cluster algorithms for anisotropic quantum spin models. J Stat Phys 82, 131–153 (1996). https://doi.org/10.1007/BF02189228

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  • DOI: https://doi.org/10.1007/BF02189228

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