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physica status solidi (b)

Longitudinal and Transverse Random‐Field Ising Model with Arbitrary Spin (S)

Yong‐Qiang Wang, Zhen‐Ya Li

Published Jun 1, 1995• 3 citations
Publisher

Abstract

Abstract The Ising model with transverse and longitudinal random fields, which have trimodal and bimodal distribution, respectively, for arbitrary spin (S), is investigated by combining the pair approximation with the discretized path integral representation (DPIR). The phase diagrams for S = 1, 1.5, and 2 are obtained, where some fascinating phenomena are observed.

DOI
10.1002/pssb.2221890220

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Abstract The Ising model with transverse and longitudinal random fields, which have trimodal and bimodal distribution, respectively, for arbitrary spin (S), is investigated by combining the pair approximation with the discretized path integral representation (DPIR). The phase diagrams for S = 1, 1.5, and 2 are obtained, where some fascinating phenomena are observed.
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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.