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Critical phenomena for a triangular spin lattice I

Author

Listed:
  • Den Nijs, M.P.M.
  • Pruisken, A.M.M.
  • Van Leeuwen, J.M.J.

Abstract

Critical phenomena in an Ising-like spin system on a triangular lattice are studied by means of the renormalization theory. The critical indices of the critical point due to triplet interactions are determined approximately, in fair agreement with the exponents, known from the exact solution due to Baxter and Wu. The cross-over from triplet critical behavior to ferromagnetic (nearest neighbor) critical behavior is calculated.

Suggested Citation

  • Den Nijs, M.P.M. & Pruisken, A.M.M. & Van Leeuwen, J.M.J., 1976. "Critical phenomena for a triangular spin lattice I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 539-556.
    • Handle: RePEc:eee:phsmap:v:84:y:1976:i:3:p:539-556
    DOI: 10.1016/0378-4371(76)90103-5
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    Cited by:

    1. Den Nijs, M.P.M., 1979. "The Kadanoff lowerbound renormalization transformation for the q-state Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(3), pages 449-472.
    2. den Nijs, M.P.M. & Knops, H.J.F., 1978. "Variational renormalization method and the Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(3), pages 441-456.

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