Replica symmetry breaking solution for the fermionic Ising spin glass and the Ghatak-Sherrington model
arXiv:cond-mat/9910034 · doi:10.1088/0305-4470/33/7/303
Abstract
We solve the fermionic version of the Ising spin glass for arbitrary filling μand temperature T taking into account replica symmetry breaking. Using a simple exact mapping from μto 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.
8 pages