Transport in a Clean Graphene Sheet at Finite Temperature and Frequency

TL;DR

This paper calculates the electrical conductivity of a pristine graphene sheet at various temperatures, showing that conductivity remains finite at zero temperature but vanishes at finite temperatures due to electron-hole pair suppression.

Contribution

It provides a direct calculation of graphene's conductivity from the tight-binding model, confirming field-theoretical results and clarifying temperature effects.

Findings

Finite dc-conductivity at zero temperature.

Conductivity drops to zero at finite temperature.

Results align with field-theoretical models.

Abstract

We calculate the conductivity of a clean graphene sheet at finite temperatures starting from the tight-binding model. We obtain a finite value for the dc-conductivity at zero temperature. For finite temperature, the spontaneous electron-hole creation, responsible for the finite conductivity at zero temperature, is washed out and the dc-conductivity yields zero. Our results are in agreement with calculations based on the field-theoretical model for graphene.