Numéro
J. Phys. I France
Volume 4, Numéro 3, March 1994
Page(s) 393 - 401
DOI https://doi.org/10.1051/jp1:1994146
DOI: 10.1051/jp1:1994146
J. Phys. I France 4 (1994) 393-401

A transfer matrix study of layering transitions in Ising model thin films

A. Benyoussef and H. Ez-Zahraouy

Laboratoire de magnétisme et Physique des Hautes Energies, Département de Physique, Faculté des Sciences, B.P. 1014, Rabat, Morocco


(Received 19 July 1993, revised 26 October 1993, accepted 23 November 1993)

Abstract
We study the layering transitions for a spin 1/2 Ising model under uniform and variable magnetic field in a film of finite thickness limited by a single substrate. Using finite size transfer matrix and mean field theory, we show that the layering transitions occurs only at a temperature higher than TL. The latter depends on the nature of the surface field hs, and on its strength Hs, In the case where the surface field is short-range, the transfer matrix predicts a splitting of a single multi-layer transition into several single-layer transitions whereas mean field theory does not.

Résumé
Nous étudions les transitions multicouches pour le modèle d'Ising spin-1/2 sous champ magnétique dans le cas d'un film mince et limité par un seul substrat. En utilisant la méthode des matrices de transfert et la théorie du champ moyen, on montre que les transitions de couches n'apparaissent qu'à une température supérieure à TL. Celle-ci dépend de la nature du champ de surface hs, et de son intensité Hs, Dans le cas où le champ de surface est uniforme la matrice de transfert prédit les transitions de couches alors que le champ moyen ne les prévoit pas.



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