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Generalization of the Migdal's recursion relation

II.O(n) symmetric spin systems withn>2

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Zeitschrift für Physik B Condensed Matter

Abstract

The systematic approximation to the Migdal's recursion relation worked out in a previous publication is applied to a spin system withO(n) symmetry. Numerical results are obtained for the fixed point temperature in 2+∈ dimension and logarithmic corrections in 2 dimensions. these results are compared with those obtained using field theoretical methods. In the case of the infinitesimal scale transformation the agreement in the second approximation is within 3%, which goes beyond Migdal's original result.

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Author notes

  1. A. Zawadowski

    Present address: Department of Physics, University of California, 90024, Los Angeles, CA, USA

Authors and Affiliations

  1. Solid State Theory Department, Central Research Institute for Physics, P.O.Box 49, H-1525, Budapest, Hungary

    G. Forgács & A. Zawadowski

Authors
  1. G. Forgács
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  2. A. Zawadowski
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Forgács, G., Zawadowski, A. Generalization of the Migdal's recursion relation. Z. Physik B - Condensed Matter 46, 359–365 (1982). https://doi.org/10.1007/BF01307711

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  • DOI: https://doi.org/10.1007/BF01307711

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