On exact mappings between fermionic Ising spin glass and classical spin glass models

Abstract

We present in this paper exact analytical expressions for the thermodynamical properties and Green functions of a certain family of fermionic Ising spin-glass models with Hubbard interaction, by noticing that their Hamiltonian is a function of the number operator only. The thermodynamical properties are mapped to the classical Ghatak-Sherrington spin-glass model while the the Density of States (DoS) is related to its joint spin-field distribution. We discuss the presence of the pseudogap in the DoS with the help of this mapping.

6 pages

References in corpus (2)

• Thermodynamic Properties and Phase Transitions in a Mean-Field Ising Spin Glass on Lattice Gas: the Random Blume-Emery-Griffiths-Capel Model
• Fermionic SK-models with Hubbard interaction: Magnetism and electronic structure

Cited by in corpus (9)

• Inverse Freezing in Mean-Field Models of Fragile Glasses
• Role of the transverse field in inverse freezing in the fermionic Ising spin-glass model
• Inverse freezing in the Ghatak-Sherrington model with a random field
• Inverse freezing in the Hopfield Fermionic Ising Spin Glass
• One-step replica symmetry breaking solution for fermionic Ising spin glass in a transverse field
• Inverse Transitions in the Ghatak-Sherrington model with Bimodal Random Fields
• Antiferromagnetic Ising spin glass competing with BCS pairing interaction in a transverse field
• Stability conditions for fermionic Ising spin-glass models in the presence of a transverse field
• Spin-1 Hopfield model under a random field