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Physica Scripta

The bond diluted spin-1 Blume-Emery-Griffiths model in a transverse field

Hamid Ez-zahraouy A

Published Mar 1, 1995• 10 citations
Publisher

Abstract

The effect of Bond-dilution on the magnetic properties of a quantum transverse spin-1 Blume-Emery-Griffiths model is investigated within an expansion technique for cluster identities of a spin-1 localized spin system. The longitudinal and transverse magnetizations and quadrupolar moments are studied for several values of the bond concentration. A general formula, applicable to structures with arbitrary coordination number N , are given.

DOI
10.1088/0031-8949/51/3/004

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Magnetic properties of a quantum transverse spin-1 Blume-Emery-Griffiths model

Hamid Ez-zahraouy A

Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Richerche

Unknown eBooks•Sep 1, 1993•0 citations
The effect of Bond-dilution on the magnetic properties of a quantum transverse spin-1 Blume-Emery-Griffiths model is investigated within an expansion technique for cluster identities of a spin-1 localized spin system. The longitudinal and transverse magnetizations and quadrupolar moments are studied for several values of the bond concentration. A general formula, applicable to structures with arbitrary coordination number N , are given.
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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.
The critical behavior and the magnetic properties of the spin 3/2 Blume-Emery-Griffiths model have been investigated on a square lattice within the framework of an effective field theory based on the use of a probability distribution technique. The effect of the transverse crystal field D(x) on the magnetic properties is examined. The model presents very rich critical behavior, which includes first and second order phase transitions. The tricritical, isolated critical, and critical end points are also observed.
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The effect of the random quantum transverse field ΩΩΩ on the tricritical behavior of the spin-1 Blume- Emery- Griffiths (BEG) model is studied using effective field theory. It is found, that the tricritical behavior depends on both the biquadratic interaction KKK, single- ion anisotropy ΔΔΔ, and the concentration ppp of the disorder of ΩΩΩ. Indeed, there exist a special value p1p_{1}p1​ of the probability ppp below which the tricritical behavior disappears.