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

TL;DR

This paper derives exact analytical expressions for thermodynamic properties and Green functions of fermionic Ising spin-glass models with Hubbard interaction, mapping them to classical models to analyze features like the pseudogap.

Contribution

It provides a novel exact mapping between fermionic and classical spin-glass models, enabling analytical insights into their thermodynamics and density of states.

Findings

Thermodynamical properties mapped to Ghatak-Sherrington model

Density of States related to joint spin-field distribution

Identification of pseudogap in the density of states

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.