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physica status solidi (b)

The Bond‐Diluted Spin‐1 Transverse Ising Model with Random Longitudinal Field

A. Benyoussef, Hamid Ez-zahraouy A

Published Oct 1, 1993• 10 citations
Publisher

Abstract

Abstract The bond‐dilution effects on the phase diagram of a spin‐1 king ferromagnet in a transverse field with random longitudinal field is investigated within an expansion technique for cluster identities of spin‐ localized spin systems. Longitudinal and transverse magnetizations are studied for several values of thc bond concentration. The critical temperature dependence on the bond concentration, the longitudinal field, and the transverse field are presented. General formulae applicable to structurcs with arbitrary coordination number N are given.

DOI
10.1002/pssb.2221790225

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Chinese Journal of Physics•Feb 1, 2002•1 citation
Abstract The bond‐dilution effects on the phase diagram of a spin‐1 king ferromagnet in a transverse field with random longitudinal field is investigated within an expansion technique for cluster identities of spin‐ localized spin systems. Longitudinal and transverse magnetizations are studied for several values of thc bond concentration. The critical temperature dependence on the bond concentration, the longitudinal field, and the transverse field are presented. General formulae applicable to structurcs with arbitrary coordination number N are given.
We study the phase diagram and magnetic properties of a transverse spin-1 Ising model with random longitudinal crystal-field interactions using an expansion technique for cluster identities of spin-1 localized spin systems. Partially ordered phases appear for a particular two valued distribution P(D i )=1/2( delta (D i -(1+ alpha )D)+ delta (D i -(1- alpha )D)), and sufficiently small transverse field Omega . The longitudinal and transverse magnetizations and the quadrupolar moments are calculated. General formulae, applicable to structures with arbitrary coordination number N, are given.
Abstract The ferromagnetic phase stability limits (or phase diagrams) of a quenched bond‐diluted spin‐ ½ transverse Ising ferromagnetic insulator with a fractional random coordination number are studied within the framework of the effective‐field theory with correlations. The changes of transition temperature and critical concentration with the topology of the network (or the averaged connectivity) are examined in the zero transverse field. The results obtained are compared with those available in the literature. The influences of transverse field on the critical frontiers are also obtained.
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The effect of a random transverse field on the phase transitions of a ferromagnetic spin 1/2 Ising film is investigated within a finite cluster approximation with an expansion technique for the cluster identities of spin 1/2 systems. The phase diagrams are determined as a function of the transverse field for different values of the concentration p of the disorder of the latter. It is found that at very low temperatures the ferromagnetic order is destroyed under the effect of the transverse field only if the concentration is larger than a critical value pc, which is independent of the film thickness.