Fluctuation effect and the spin-glass transition temperatures in the random-bond Ising models in the hexagonal, triangular, BCC and other lattices-unified description
- 20 September 1981
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 14 (26) , 3781-3794
- https://doi.org/10.1088/0022-3719/14/26/014
Abstract
The cluster variational free energies of the random-bond Ising model are given in terms of effective fields and of effective interactions. The stationarity of the free energy gives the reducibilities between the one-body, two-body and cluster density matrices. From these reducibilities the uniform, staggered and spin-glass susceptibilities are obtained. A simple version of the above treatment is also presented which is called the cactus approximation. The phase diagrams of the binary (and ternary) mixtures of the ferromagnetic, antiferromagnetic (and non-magnetic) bonds in the triangular, hexagonal, and BCC lattices are obtained. The phase diagram of the triangular lattice is qualitatively similar to the FCC lattice and those of the hexagonal and BCC lattice to the square lattice. In particular the bond-diluted antiferromagnet in the triangular lattice is shown to have a spin-glass state.Keywords
This publication has 20 references indexed in Scilit:
- Frustration effect and the spin glass transition temperature in the bond mixtures of the Ising model in the face-centred cubic latticeJournal of Physics C: Solid State Physics, 1980
- Frustration effect on the d-dimensional Ising spin glass. II. Existence of the spin glass phaseJournal of Physics C: Solid State Physics, 1980
- Frustration effect on the d-dimensional Ising spin glass. I. Spin glass and dilution problemsJournal of Physics C: Solid State Physics, 1980
- Low-concentration series expansions for dilute spin glasses at zero temperatureJournal of Physics C: Solid State Physics, 1980
- ErratumPhysica A: Statistical Mechanics and its Applications, 1980
- The energy of the spin-glass state of a binary mixture at T = 0 and its variational propertiesPhysica A: Statistical Mechanics and its Applications, 1980
- Vanishing of the Edwards-Anderson order parameter in two- and three-dimensional Ising spin glassesJournal of Physics C: Solid State Physics, 1978
- Application of the cluster variation method to the fcc Ising ferromagnetPhysical Review B, 1977
- Glass-like phase on the close packed latticesPhysica A: Statistical Mechanics and its Applications, 1977
- Series Study of a Spin-Glass Model in Continuous DimensionalityPhysical Review Letters, 1977