A possible phase and dynamical transition in a three-dimensional Electron Glass

TL;DR

This paper investigates a phase transition and slow dynamics in a 3D Electron Glass model using mean-field theory, eigenvalue spectra, and density of states to identify critical behavior near a transition temperature.

Contribution

It introduces a novel analysis of phase and dynamical transitions in a 3D Electron Glass using eigenvalue spectra and mean-field approximations.

Findings

Eigenvalue spectrum extends to zero near critical temperature

Identification of a phase transition in the Electron Glass model

Distinction between phase transition and slow relaxation dynamics

Abstract

Using mean-field approximations, this paper identifies a phase transition in a three-dimensional Electron Glass lattice model. The density of states of the eigenvalue distribution of the inverse susceptibility matrix is used to identify the possibility of a phase transition. In the thermodynamic limit, the eigenvalue spectrum appears to extend to zero as $T \approx T_{c}$. To determine the dynamical relaxation laws near the transition temperature, we use the eigenvalue distribution of the linear dynamical matrix. Our analysis distinguishes between the phenomenon of phase transition and slow dynamics.