Replica symmetry breaking solution for the fermionic Ising spin glass and the Ghatak-Sherrington model

Details Replica symmetry breaking solution for the fermionic Ising spin glass and the Ghatak-Sherrington model Replica symmetry breaking solution for the fermionic Ising spin glass and the Ghatak-Sherrington model

1999-10-04

arxiv.org/abs/cond-mat/9910034v1

J. Phys. A: Math. Gen. 33 (2000) 1325-1332

Physics

Condensed Matter

Statistical Mechanics

8 pages

Scientific paper

10.1088/0305-4470/33/7/303

We solve the fermionic version of the Ising spin glass for arbitrary filling \mu and temperature T taking into account replica symmetry breaking. Using a simple exact mapping from \mu to the anisotropy parameter D, we also obtain the solution of the S=1 Sherrington-Kirkpatrick model. An analytic expression for T=0 gives an improved critical value for the first-order phase transition. We revisit the question of stability against replica-diagonal fluctuations and find that the appearance of complex eigenvalues of the Almeida-Thouless matrix is not an artifact of the replica-symmetric approximation.

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