Nature of the singularity in a spin-glass model
- 1 January 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (1) , L5-L10
- https://doi.org/10.1088/0305-4470/11/1/002
Abstract
High temperature series expansions are developed for the specific heat of a random bond Ising model of a spin glass for standard two- and three-dimensional lattices. Pade approximant analysis of the series indicates the absence of any singularity on the positive real axis. The solution for the Bethe lattice is investigated using results obtained previously for the Mattis random site model. It is concluded that the high temperature partition function and all its derivatives with respect to magnetic field have no singularity at the transition temperature. This behaviour may also extend to lattice models.Keywords
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