Surface Critical Behavior of Two-Dimensional Dilute Ising Models

Ising models with nearest neighbor ferromagnetic random couplings on a square lattice with a (1, 1) surface are studied, using Monte Carlo techniques and a star-triangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfe...

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Bibliographic Details
Published inJournal of statistical physics Vol. 89; no. 5-6; pp. 1079 - 1085
Main Authors Selke, W., Szalma, F., Lajkó, P., Iglói, F.
Format Journal Article
LanguageEnglish
Published New York Springer Nature B.V 01.12.1997
Subjects
Couplings
Ferromagnetism
Ising model
Physics
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Summary:Ising models with nearest neighbor ferromagnetic random couplings on a square lattice with a (1, 1) surface are studied, using Monte Carlo techniques and a star-triangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfect model, Β1= 1/2. The crossover from surface to bulk critical properties is discussed.
ISSN:0022-4715
1572-9613
DOI:10.1007/BF02764223