Spin-1 Blume–Capel model with random crystal field effects

Erhan Albayrak

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 4, 552-557

Abstract: The random-crystal field spin-1 Blume–Capel model is investigated by the lowest approximation of the cluster-variation method which is identical to the mean-field approximation. The crystal field is either turned on randomly with probability p or turned off with q=1−p in a bimodal distribution. Then the phase diagrams are constructed on the crystal field (Δ)–temperature (kT/J) planes for given values of p and on the (kT/J,p) planes for given Δ by studying the thermal variations of the order parameters. In the latter, we only present the second-order phase transition lines, because of the existence of irregular wiggly phase transitions which are not good enough to construct lines. In addition to these phase transitions, the model also yields tricritical points for all values of p and the reentrant behavior at lower p values.

Keywords: Random crystal field; Spin-1 Ising model; Cluster variation method; Blume–Capel model (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:4:p:552-557

DOI: 10.1016/j.physa.2012.09.026

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