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Abstract: We describe electrical transport in ideal single-layer graphene at zeroapplied bias. There is a crossover from collisionless transport at frequencieslarger than k B T-hbar T is the temperature to collision-dominated transportat lower frequencies. The d.c. conductivity is computed by the solution of aquantum Boltzmann equation. Due to a logarithmic singularity in the collinearscattering amplitude a consequence of relativistic dispersion in twodimensions quasi-particles and -holes moving in the same direction tend to aneffective equilibrium distribution whose parameters depend on the direction ofmotion. This property allows us to find the non-equilibrium distributionfunctions and the quantum critical conductivity exactly to leading order in1-|lnalpha| where alpha is the coupling constant characterizing the Coulombinteractions.



Autor: Lars Fritz, Joerg Schmalian, Markus Mueller, Subir Sachdev

Fuente: https://arxiv.org/







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