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physica status solidi (b)

Phase Transition for the Semi-Infinite Ising Model with a Transverse Field

Noureddine Cherkaoui Eddeqaqi, E. Ez-Zahraouy, A. Bouzid

Published Jun 1, 1999• 0 citations
Publisher

Abstract

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.

DOI
10.1002/(sici)1521-3951(199906)213:2<421::aid-pssb421>3.0.co;2-7

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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.
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.
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Abstract The Migdal–Kadanoff renormalization group technique is applied to study a three-dimensional semi-infinite Ising system consisting of spin-1/2 sites in the bulk and spin-1 sites at the surface. According to the competition ratio between bulk and surface exchange interactions ( R = J B / J S ), two types of surface phase diagrams have been identified in the (surface crystal field, temperature) plane. These diagrams exhibit a rich variety of phase transition phenomena: surface, ordinary, extraordinary, and special second-order transitions, first-order transitions at the surface, as well as tricritical and multicritical points. Additionally, we list in a table the fixed points that govern the observed phases and phase transitions.