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Renormalisation group study of the (2+1) dimensional Potts model

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  • Igloi, F.
  • Vanderzande, C.

Abstract

The Hamiltonian version of the three dimensional q-state Potts model is studied by the block transformation method on triangular and square lattices. The transition is found to be of first order when the number q is larger than a critical value. The first order transition, however, is not controlled by a discontinuity fixed point.

Suggested Citation

  • Igloi, F. & Vanderzande, C., 1986. "Renormalisation group study of the (2+1) dimensional Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 347-358.
    • Handle: RePEc:eee:phsmap:v:135:y:1986:i:2:p:347-358
    DOI: 10.1016/0378-4371(86)90147-0
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    References listed on IDEAS

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    1. Van Saarloos, W. & Van Leeuwen, J.M.J. & Pruisken, A.M.M., 1978. "Variational principles in renormalization theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 323-342.
    2. Schick, GJ & Stroup, JW, 1981. "Experience with a multi-year fleet planning model," Omega, Elsevier, vol. 9(4), pages 389-396.
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