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

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

References in corpus (3)

• Magnetic Gaps related to Spin Glass Order in Fermionic Systems
• Parisi-Symmetry of the Many-Body Quantum Theory of randomly interacting fermionic systems
• Random Magnetic Interactions and Spin Glass Order Competing with Superconductivity: Interference of the Quantum Parisi Phase

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• On exact mappings between fermionic Ising spin glass and classical spin glass models
• Inverse freezing in the Hopfield Fermionic Ising Spin Glass
• Stability conditions for fermionic Ising spin-glass models in the presence of a transverse field
• Metastable states in the Blume-Emery-Griffiths spin glass model