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Journal of Physics C Solid State Physics

Surface phase diagrams of a transverse Ising model with a surface amorphisation

Enaldo F. Sarmento

Published Jul 30, 1988• 29 citations
Publisher

Abstract

Phase diagrams of a semi-infinite Ising model with surface amorphisation in the presence of a transverse field are studied within the framework of an effective-field theory. A number of interesting characteristics may be observed in the effect of a transverse field on the phase diagrams for amorphisation, namely the re-entrant phenomenon on the surface is obtained for appropriate values of the surface interaction and transverse field.

DOI
10.1088/0022-3719/21/21/020

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Chinese Journal of Physics•Apr 1, 2009•0 citations
Phase diagrams of a semi-infinite Ising model with surface amorphisation in the presence of a transverse field are studied within the framework of an effective-field theory. A number of interesting characteristics may be observed in the effect of a transverse field on the phase diagrams for amorphisation, namely the re-entrant phenomenon on the surface is obtained for appropriate values of the surface interaction and transverse field.
The effect of surface and bulk transverse fields on the phase transitions of a semi-infinite spin-1 ferromagnetic Ising model is investigated within a finite cluster approximation with an expansion technique for cluster identities of spin-1 localized spin systems. The phase diagrams are determined as a function of the ratio of bulk and surface transverse fields, the temperature and the transverse field of the surface. They show that the systems exhibit a variety of phase transitions. A dead layer is also obtained in a special region of space parameters.
Abstract The phase diagram of a transverse Ising thin film is investigated by the use of two theoretical frameworks, namely the standard mean field theory and the effective field theory. The effects of the ratio p between the bulk and surface transverse fields on the critical temperature are discussed by including the modification of surface exchange interaction. Some characteristic features are found in the phase diagrams when the ratio p increases from p = 1.0. They are enhanced for the film with thickness L smaller than 5.0. In particular, the critical ratio at which the critical temperature of the film with a finite transverse field reduces to zero, being independent of L, exhibits a linear relation when it is plotted against the modification of surface exchange interaction.
The transverse Ising system with a diluted surface and a modified surface-bulk interaction J(subscript ┴) is studied by the use of an effective field method within the framework of a single-site cluster theory. The surface antiferromagnetic exchange interaction JS is distributed randomly and has a concentration p. The new parameter p strongly affects the phase diagram obtained in the pure case (p=1). Indeed, some qualitatively interesting features have been found, both in the absence and in the presence of the surface transverse field. In particular, we defined a critical value p(superscript *) of p, separating two qualitatively different behaviors of the system.