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Criticality of the bond-diluted Z(4) ferromagnet on the square lattice

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  • Mariz, A.M.
  • Nobre, F.D.
  • de Souza, E.S.

Abstract

The critical behaviour of the quenched bond-diluted Z(4) ferromagnetic model on the square lattice is investigated within a real-space renormalization-group scheme. The phase diagram as well as the correlation-length and crossover critical exponents are obtained, and the universality classes of the system are determined. The critical frontiers reproduce several known exact results, and are believed to be very precise everywhere.

Suggested Citation

  • Mariz, A.M. & Nobre, F.D. & de Souza, E.S., 1991. "Criticality of the bond-diluted Z(4) ferromagnet on the square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(2), pages 364-375.
    • Handle: RePEc:eee:phsmap:v:178:y:1991:i:2:p:364-375
    DOI: 10.1016/0378-4371(91)90025-8
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    3. 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.
    4. Costa, Uriel M.S. & Tsallis, Constantino, 1984. "Square-lattice random potts model: Criticality and pitchfork bifurcation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 207-228.
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