Cluster extension of the effective-interaction approximation. I. Quenched-bond disorder in the Ising model
- 30 July 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (21) , 4077-4089
- https://doi.org/10.1088/0022-3719/13/21/013
Abstract
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.Keywords
This publication has 25 references indexed in Scilit:
- Some results for the two-dimensional Ising model with competing interactionsJournal of Physics C: Solid State Physics, 1979
- Critical and thermodynamic properties of the randomly dilute Ising modelPhysical Review B, 1978
- Criticality and crossover in the bond-diluted random Ising modelJournal of Physics C: Solid State Physics, 1978
- Anomalous Dimensionalities in the Spin-Glass ProblemPhysical Review Letters, 1978
- Frustration and ground-state degeneracy in spin glassesPhysical Review B, 1977
- A new approach to the quenched bond-diluted Ising modelJournal of Physics C: Solid State Physics, 1977
- The coherent potential approximation for the density matrix of a random alloyJournal of Physics C: Solid State Physics, 1976
- Effect of random defects on the critical behaviour of Ising modelsJournal of Physics C: Solid State Physics, 1974
- Percolation and ConductionReviews of Modern Physics, 1973
- The Electrical Resistance of Binary Metallic MixturesJournal of Applied Physics, 1952