A spin glass with finite range interactions: More diseases
- 1 March 1982
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 53 (3) , 2196-2197
- https://doi.org/10.1063/1.330731
Abstract
We set up and solve the Bethe approximation for a spin glass with finite range interactions. We obtain the finite z analogue of the Thouless Anderson Palmer equations and the free energy functional at all T. In the configuration averaged theory, the entropy S(T) and all other properties are well behaved on a Cayley tree. For real lattices S(0) = 0, but the specific heat is negative near T = 0 for all but small values of z.This publication has 5 references indexed in Scilit:
- Two- and three-spin cluster theory of spin-glassesPhysical Review B, 1981
- Spin glasses for the infinitely long ranged bond Ising model and for the short ranged binary bond Ising model without use of the replica methodPhysica A: Statistical Mechanics and its Applications, 1979
- Spin glasses in the Bethe-Peierls-Weiss and other mean-field approximationsPhysical Review B, 1979
- Solution of 'Solvable model of a spin glass'Philosophical Magazine, 1977
- Solvable Model of a Spin-GlassPhysical Review Letters, 1975