AC transport properties of single and bilayer graphene

TL;DR

This paper provides a theoretical analysis of the electronic transport and optical conductivity in single and bilayer graphene, highlighting features related to electronic energy scales and extending previous numerical findings.

Contribution

It offers analytical results for optical conductivity in graphene, clarifying how to infer electronic properties from measurements and extending prior numerical studies.

Findings

Analytical expressions for optical conductivity in graphene.

Identification of features linked to electronic energy scales.

Guidelines for interpreting optical measurements of graphene.

Abstract

We have performed a theoretical study of electronic transport in single and bilayer graphene based on the standard linear-response (Kubo) formalism and continuum-model descriptions of the graphene band structure. We are focusing especially on the interband contribution to the optical conductivity. Analytical results are obtained for a variety of situations, which allow clear identification of features in the conductivity that are associated with relevant electronic energy scales. Our work extends previous numerical studies and elucidates ways to infer electronic properties of graphene samples from optical-conductivity measurements.