An effective field study of the magnetic properties and critical behaviour at the surface Ising film

Mouna Bengrine, Abdelilah Benyoussef, Hamid Ez-Zahraouy and Fouad Mhirech

Physica A: Statistical Mechanics and its Applications, 1999, vol. 268, issue 1, 149-164

Abstract: The influence of corrugation and disorder at the surface on the critical bahaviour of a ferromagnetic spin-1/2 Ising film is investigated using mean-field theory and finite cluster approximation. It is found that the critical surface exponent β1 follows closely the one of a perfect surface, in the two cases: corrugated surface and random equiprobable coupling surface. However, in the case of flat surface with random interactions the surface critical exponent β1 depends on the concentration p of the strong interaction for p>pc=0.5, while for p⩽pc, such critical exponent is independent of the value of p and is equal to the one of the perfect surface. Moreover, in the case of corrugated surface, the effective exponent for a layer z,βeff(z,n), is calculated as a function of the number of steps at the surface.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:268:y:1999:i:1:p:149-164

DOI: 10.1016/S0378-4371(99)00025-4

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