Replica symmetry breaking solution for the fermionic Ising spin glass and the Ghatak-Sherrington model
Statistical Mechanics
2009-10-31 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9910034,
title = {Replica symmetry breaking solution for the fermionic Ising spin glass and the Ghatak-Sherrington model},
author = {H. Feldmann and R. Oppermann},
journal= {arXiv preprint arXiv:cond-mat/9910034},
year = {2009}
}
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8 pages