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Physical review. B, Condensed matter

Effect of a crystal field on phase transitions in a spin-1 transverse Ising model

Xuefan Jiang, Jialiang Li, Jialin Zhong, Chuan‐Zhang Yang

Published Jan 1, 1993• 41 citations
Publisher

Abstract

Within an effective-field approximation, general expressions for evaluating the second-order phase-transition line and tricritical point of the spin-1 transverse Ising model with the presence of a crystal field are obtained with the Honmura-Kaneyoshi differential-operator technique. The phase diagrams and the behavior of the tricritical point are investigated numerically for the honeycomb lattice.

DOI
10.1103/physrevb.47.827

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The phase diagrams of a spin-2 transverse Ising model with a random field on honeycomb, square, and simple-cubic lattices, respectively, are investigated within the framework of an effective-field theory with correlations. We find the behavior of the tricritical point and the reentrant phenomenon for the system with any coordination number z , when the applied random field is bimodal. The behavior of the tricritical point is also examined as a function of applied transverse field. The reentrant phenomenon comes from the competition between the transverse field and the random field.