Why graphene conductivity is constant: scaling theory consideration

TL;DR

This paper presents a scaling theory-based derivation explaining why graphene's conductivity remains constant regardless of temperature and clarifies the rapid increase in conductivity with applied gate voltage.

Contribution

It provides a more explicit derivation of graphene's constant conductivity and explains the effect of gate voltage using scaling theory.

Findings

Conductivity of graphene is temperature-independent due to strong electron-hole scattering.

Gate voltage causes a rapid increase in graphene's conductivity.

Scaling theory effectively explains these phenomena.

Abstract

In the recent paper [arXiv:0802.2216, 15 Feb 2008], Kashuba argued that the intrinsic conductivity of graphene independent of temperature originated in strong electron-hole scattering. We propose a much more explicit derivation based on a scaling theory approach. We also give an explanation of a rapid increase in graphene conductivity caused by applied gate voltage.