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

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

2005-06-20

arxiv.org/abs/cond-mat/0506514v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages

Scientific paper

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.

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