This article is cited in 2 papers

Spherical analogues of some non-Ising spin glass models: Exact solutions

E. E. Tareeva

Institute for High Pressure Physics, RAS, Troitsk, Moscow Oblast, Russia

Abstract: We consider several models of non-Ising spin glass for which we can naturally formulate an analogue of spherical conditions well known for the Ising model. We calculate the partition functions of the obtained models exactly. The random matrix method and the replica method yield identical results.

Keywords: spin glass, spherical approximation, exact solution.

Received: 03.03.2011

DOI: 10.4213/tmf6702

 English version: Theoretical and Mathematical Physics, 2011, 168:3, 1358–1364

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