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Journal of Physics Condensed Matter

The random-mixed-bond spin-1 Ising model with a single-ion anisotropy in a transverse field

Xue‐Fan Jiang, Jialin Zhong, Jialiang Li

Published Jan 10, 1994• 2 citations
Publisher

Abstract

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.

DOI
10.1088/0953-8984/6/2/022

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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.
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