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The spin-1 Blume–Capel model with random crystal field on the Bethe lattice

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  • Albayrak, Erhan

Abstract

The dependence of the phase diagrams on the random crystal field (RCF) is investigated for the spin-1 Blume–Capel (BC) model on the Bethe lattice. The calculations are carried out in terms of the recursion relations for the coordination number z=4 which corresponds to the square lattice. The model presents tricritical points which are observed at lower negative crystal fields and higher temperatures for higher probabilities p and which vanish at lower p’s. The effect of randomness is illustrated for p=0.5 and shown that it changes the phase diagrams drastically from random to non-random systems. The reentrant behavior is also observed for appropriate p values.

Suggested Citation

  • Albayrak, Erhan, 2011. "The spin-1 Blume–Capel model with random crystal field on the Bethe lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1529-1533.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:9:p:1529-1533
    DOI: 10.1016/j.physa.2010.12.048
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    Cited by:

    1. Bezerra, E.C. & Gomes da Silva, M. & de Sousa, J. Ricardo, 2023. "First-order transition of the spin-1 Blume–Capel model with random anisotropy using effective-field theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

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