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Migdal-Kadanoff renormalization group approach to the spin-1/2 anisotropic Heisenberg model

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Abstract

The spin-1/2 anisotropic Heisenberg model is studied by generalizing the Migdal-Kadanoff renormalization transformations to quantum spin systems. An approximate one-dimensional decimation is employed besides the potential-moving approximation in this generalization. It is shown that these approximations are valid at high temperatures. The results obtained from these approximations suggest that the two-dimensional spin-1/2X-Y model shows the critical behavior similar to that expected for the classicalX-Y and planar models.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, 113, Toyko

    Hiroshi Takano & Masuo Suzuki

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  1. Hiroshi Takano
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  2. Masuo Suzuki
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Takano, H., Suzuki, M. Migdal-Kadanoff renormalization group approach to the spin-1/2 anisotropic Heisenberg model. J Stat Phys 26, 635–663 (1981). https://doi.org/10.1007/BF01010931

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  • DOI: https://doi.org/10.1007/BF01010931

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