Title: Stability of the Sherrington-Kirkpatrick solution of a spin glass model
Abstract: The stationary point used by Sherrington and Kirkpatrick (1975) in their evaluation of the free energy of a spin glass by the method of steepest descent is examined carefully. It is found that, although this point is a maximum of the integrand at high temperatures, it is not a maximum in the spin glass phase nor in the ferromagnetic phase at low temperatures. The instability persists in the presence of a magnetic field. Results are given for the limit of stability both for a partly ferromagnetic interaction in the absence of an external field and for a purely random interaction in the presence of a field.
Publication Year: 1978
Publication Date: 1978-05-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 1938
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