Universal conductivity and dimensional crossover in multi-layer graphene

TL;DR

This paper uses exact Renormalization Group methods to analyze multi-layer graphene, showing that intra-layer interactions lower the dimensional crossover energy scale and that conductivity resembles independent layers above this scale.

Contribution

It introduces a rigorous analysis of how intra-layer interactions affect the dimensional crossover and conductivity in multi-layer graphene.

Findings

Intra-layer interactions lower the crossover energy scale.

Conductivity above the crossover scale approximates that of independent layers.

Interactions cause small corrections to the conductivity.

Abstract

We show, by exact Renormalization Group methods, that in multi-layer graphene the dimensional crossover energy scale is decreased by the intra-layer interaction, and that for temperatures and frequencies greater than such scale the conductivity is close to the one of a stack of independent layers up to small corrections.