The site-diluted spin-12 Ising film

A. Saber, A. Ainane, F. Dujardin, M. Saber and B. Stébé

Physica A: Statistical Mechanics and its Applications, 1999, vol. 269, issue 2, 329-343

Abstract: The phase transitions of a diluted spin-12 Ising film are examined using the framework of the effective field theory with a probability distribution technique that accounts for the single-site spin correlations. The critical temperature Tc/J of the system is calculated as a function of the thickness of the film, the concentration c of magnetic atoms and the ratio R=Js/J of the surface constant couplings to the bulk ones. It is shown that for R=Js/J less than a critical value Rc, the critical temperature of the film Tc/J is smaller than the bulk critical temperature TcB/J and for R⩾Rc, Tc/J is larger than the bulk TcB/J and surface TcS/J critical temperatures of the corresponding semi-infinite system and as the film thickness L is increased further, for R⩽Rc (R⩾Rc), Tc/J increases (decreases) and approaches asymptotically for large values of L the bulk critical temperature TcB/J (the surface critical temperature TcS/J) of the corresponding semi-infinite system.

Keywords: Magnetic films; Phase transition; Critical temperature; Ising model (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:269:y:1999:i:2:p:329-343

DOI: 10.1016/S0378-4371(99)00159-4

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