English

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

Disordered Systems and Neural Networks 2013-05-29 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0506514,
  title  = {On exact mappings between fermionic Ising spin glass and classical spin glass models},
  author = {Isaac Pérez Castillo and David Sherrington},
  journal= {arXiv preprint arXiv:cond-mat/0506514},
  year   = {2013}
}

Comments

6 pages

R2 v1 2026-07-22T11:18:50.037Z