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Physica A Statistical Mechanics and its Applications

Critical temperature for a random-bond Ising model with frustration on a square lattice

Tsuyoshi Horiguchi

Published Apr 1, 1983• 3 citations
Publisher
DOI
10.1016/0378-4371(83)90148-6

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A systematic cluster extension of the effective-interaction approximation for quenched-bond disorder in random Ising systems is proposed. For bond dilution, exact results for the critical concentrations are obtained in the single-bond approximation for the self-dual square lattice and in the three-bonds approximation for the dual triangular and honeycomb lattices. Qualitative changes in the critical line are observed in the frustration model when going from the single-bond to the three-bonds approximations.