Quantum critical transport in clean graphene

TitleQuantum critical transport in clean graphene
Publication TypeJournal Article
Year of Publication2008
AuthorsFritz L, Schmalian J, Muller M, Sachdev S
Journal TitlePhysical Review B
Volume78
Pages085416
Date PublishedAug
Type of ArticleArticle
ISBN Number1098-0121
Accession NumberISI:000259406900098
Keywordscritical-points, fermi-liquid behavior, HALL, NONZERO-TEMPERATURE TRANSPORT
Abstract

We describe electrical transport in ideal single-layer graphene at zero applied gate voltage. There is a crossover from collisionless transport at frequencies larger than k(B)T/(h) over bar (T is the temperature) to collision-dominated transport at lower frequencies. The dc conductivity is computed by the solution of a quantum Boltzmann equation. Due to a logarithmic singularity in the collinear scattering amplitude (a consequence of relativistic dispersion in two dimensions), quasiparticles and quasiholes moving in the same direction tend to an effective equilibrium distribution whose parameters depend on the direction of motion. This property allows us to find the nonequilibrium distribution functions and the quantum critical conductivity exactly to leading order in 1/vertical bar ln(alpha)vertical bar, where alpha is the coupling constant characterizing the Coulomb interactions.

DOI10.1103/PhysRevB.78.085416
Alternate JournalPhys. Rev. B