Long-range-correlated disorder in graphene

TL;DR

This paper investigates how long-range correlated disorder affects electronic transport in graphene, focusing on scattering, conductivity, and localization, using theoretical methods for high-energy quasiparticles.

Contribution

It introduces a combined perturbation and path-integral approach to analyze transport phenomena in graphene with correlated disorder, emphasizing zero-energy states and localization.

Findings

Scattering rates depend on disorder correlations

Transport properties are significantly affected by long-range correlations

Zero-energy states exhibit unique localization behavior

Abstract

We study transport of two-dimensional quasi-relativistic electronic excitations in graphene in the presence of static long-range-correlated random scalar and vector potentials. Using a combination of perturbation theory and path-integral techniques, we estimate scattering rates which control Drude conductivity, magneto-transport, and Friedel oscillations in the ballistic regime of large quasiparticle energies. We also discuss properties of zero-energy states and pertinent localization scenarios.