Dirac fermions in a power-law-correlated random vector potential

TL;DR

This paper investigates how two-dimensional Dirac fermions in graphene-like systems behave under power-law-correlated random vector potentials, suggesting potential complete localization of electronic states and analyzing the density of states.

Contribution

It introduces a comprehensive analysis combining multiple techniques to study localization in Dirac fermions with correlated disorder, highlighting the possibility of full localization.

Findings

All electronic states may be localized

Density of states is computed

Multiple analytical methods are employed

Abstract

We study localization properties of two-dimensional Dirac fermions subject to a power-law-correlated random vector potential describing, e.g., the effect of "ripples" in graphene. By using a variety of techniques (low-order perturbation theory, self-consistent Born approximation, replicas, and supersymmetry) we make a case for a possible complete localization of all the electronic states and compute the density of states.