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Acta Physica Sinica

CRITICAL BEHAVIOR OF RANDOM TRANSVERSE ISING MODEL WITH UNIAXIAL ANISOTROPY FIELD

Y Wang

Published Jan 1, 1995• 0 citations
OpenAlex

Abstract

We use the method combining pair approximation and the discretized path-inte-gral representation to study the critical behavior of the random transverse Ising mo-del (S=1) with uniaxial anisotropy field. The influences of the uniaxial anisotro-py field and random transverse field on the phase structure of the system are discus-sed.

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In this paper, we propose a new method, which combines the pair approximation with the discretized path-integral representation, to study the quantum transverse Ising model with random-field. Full phase diagrams are obtained for various random-field distributions. When applied random fields are trimodal (and bimodal), the critical properties including the possibility of the existence of the tricritical points and rcentrance phenomena are numerically analyzed in detail. In the limit z→∞, the extended mean-field result is recovered.
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