Temperature dependence of the conductivity of ballistic graphene

Markus Mueller, Matthias Braeuninger, Bjoern Trauzettel

Published 2008-12-22, updated 2009-09-18Version 2

We investigate the temperature dependence of the conductivity in ballistic graphene using Landauer transport theory. We obtain results which are qualitatively in agreement with many features recently observed in transport measurements on high mobility suspended graphene. The conductivity \sigma at high temperature T and low density n grows linearly with T, while at high n we find \sigma ~ |n|^1/2 with negative corrections at small T due to the T-dependence of the chemical potential. At moderate densities the conductivity is a non-monotonic function of T and n, exhibiting a minimum at T=0.693 \hbar v |n|^1/2 where v is the Fermi velocity. We discuss two kinds of Fabry-Perot oscillations in short nanoribbons and their stability at finite temperatures.