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

Isaac Pérez Castillo·David Sherrington
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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.

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Isaac Pérez Castillo, David Sherrington. 2005-06-20. On exact mappings between fermionic Ising spin glass and classical spin glass models. https://doi.org/10.1103/physrevb.72.104427

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