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Physical review. B, Condensed matter

Phase diagrams and tricritical behavior of a diluted spin-1 transverse Ising model in a random field

Enaldo F. Sarmento, T. Kaneyoshi

Published Aug 1, 1993• 42 citations
Publisher

Abstract

Phase diagrams and magnetization curves of a diluted spin-1 transverse Ising model in a random field on honeycomb, square, and simple-cubic lattices, respectively, are investigated by the use of an effective-field theory with correlations. The tricritical point is found in the system, in contrast to the corresponding spin-1/2 Ising counterpart. The behavior of the tricritical point is also examined as a function of applied transverse field. The possible reentrant phenomena displayed by the system due to the competition effects that occur for appropriate ranges of the random and transverse fields are investigated.

DOI
10.1103/physrevb.48.3232

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In the light of the effective-field theory, the present paper attempts to discuss the investigation done into the phase diagrams of a random nearest-neighbour interaction spin-1 Ising model with a single-ion anisotropy in an applied transverse field on the honeycomb lattice. The interactions are assumed to be independent random variables with distribution P(J ij )=p delta (J ij -J 1 )+(1-p) delta (J ij -J 2 ), where J 1 >0and mod J 2 /J 1 mod <or=1. We find a number of interesting phenomena, such as two different types of re-entrant phenomenon due to the competition between the random bond and the negative single-ion anisotropy parameter, as well as the usual frustration of J ij . The influence of a transverse field on the behaviours of the tricritical point and re-entrant transition is also discussed in this paper.