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physica status solidi (b)

Spin‐1 Random‐Bond Transverse Ising Model with Competing Interactions

Chuan‐Zhang Yang, Jialin Zhong, Xue‐Fan Jiang

Published Jun 1, 1991• 12 citations
Publisher

Abstract

Abstract The longitudinal magnetization, the transverse magnetization, and the order parameter y of the spin‐1 random‐bond transverse Ising model with competing interactions on a diamond lattice are discussed within the framework of the effective‐field theory. The phase diagrams of the system are obtained. The possible reentrant phenomena displayed by the system and the influence of random parameters α and p̄ on the behavior of the system are investigated.

DOI
10.1002/pssb.2221650224

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The ferromagnetic-phase stability limit and magnetization of a quenched bond-mixed spin-1/2 transverse Ising model in an anisotropic simple square lattice are studied within the framework of an effective-field theory considering both competing and noncompeting interactions. In the bond-disordered case, where bonds J1{J}_{1}J1​ and J2{J}_{2}J2​ occur with probabilities 1-p and p, respectively, critical curves are obtained for various \ensuremath{\alpha}'s (\ensuremath{\alpha}\ensuremath{\equiv}J1{J}_{1}J1​/J2{J}_{2}J2​), and the critical bond concentrations pc{p}_{c}pc​ at which the ferromagnetic phase breaks down are determined. As \ensuremath{\alpha}\ensuremath{\rightarrow}0, the mixed model reduces to the diluted Ising model and the results obtained are compared to those available in the literature. The effect of the transverse field (for different \ensuremath{\alpha}'s) in the thermal behavior of the magnetization as a function of the concentration is also discussed.
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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.