Quantum Critical Transport in Clean Graphene

 Title: Quantum Critical Transport in Clean Graphene Author: Fritz, Lars; Sachdev, Subir; Schmalian, Jörg; Müller, Markus Note: Order does not necessarily reflect citation order of authors. Citation: Fritz, Lars, Jörg Schmalian, Markus Müller, and Subir Sachdev. 2008. Quantum critical transport in clean graphene. Physical Review B 78(8): 085416. Full Text & Related Files: 0802.4289v2.pdf (229.2Kb; PDF) 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 $$(k_{B}T/\hbar$$ ($$T$$ 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/|ln($$\alpha$$)|, where $$\alpha$$ is the coupling constant characterizing the Coulomb interactions. Published Version: doi://10.1103/PhysRevB.78.085416 Other Sources: http://arxiv.org/abs/0802.4289v2 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:7399176

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Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University