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physica status solidi (b)

Tricritical Behaviour on the Mixed Transverse Ising Spin System with a Crystal Field

Shuaishuai Yan, C. Z. Yang

Published Jul 1, 1998• 13 citations
Publisher

Abstract

The tricritical points on the nearest neighbour interaction mixed spin-½ and spin-1 transverse Ising system with a crystal field are investigated within the framework of the effective field theory (EFT) with correlations. Particular emphasis is given to the square lattice for which phase diagrams are obtained. If the transverse field varies in certain ranges, we find that tricritical points are obtained for the present system. The effect of the transverse field on the behaviour of the tricritical points is discussed in this paper.

DOI
10.1002/(sici)1521-3951(199807)208:1<151::aid-pssb151>3.0.co;2-6

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Phase Transition for a Mixed Spin-12\frac1221​ and Spin- s B System with a Transverse Crystal Field
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We investigate the phase transitions and tricritical behaviors of the frustrated Ising antiferromagnet with first- (J_{1}<0) and second- (J_{2}<0) nearest-neighbor interactions in a transverse field Ω on the square lattice using an effective-field theory with correlations based on a single-spin approximation. We have proposed a functional for the free energy to obtain the phase diagram in the T-R (R=J_{2}/|J_{1}|) or T-Ω planes. It is shown that due to the transverse field the phase transition between ordered and disordered phases changes in the tricritical point (TCP) from the second order to the first order. The longitudinal and transverse magnetizations are also studied for selected values of R and Ω. In particular, the variation of TCP at the ground state in the three-dimensional space is constructed. For some special cases, values of the critical temperature and the critical transverse field have been determined analytically.