Effect of electron-electron interactions on the conductivity of clean graphene

Details Effect of electron-electron interactions on the conductivity of clean graphene Effect of electron-electron interactions on the conductivity of clean graphene

2006-12-27

arxiv.org/abs/cond-mat/0612651v2

Phys. Rev. Lett. 98, 216801 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures; final version

Scientific paper

10.1103/PhysRevLett.98.216801

Minimal conductivity of a single undoped graphene layer is known to be of the order of the conductance quantum, independent of the electron velocity. We show that this universality does not survive electron-electron interaction which results in the non-trivial frequency dependence. We begin with analyzing the perturbation theory in the interaction parameter 'g' for the electron self-energy and observe the failure of the random-phase approximation. The optical conductivity is then derived from the quantum kinetic equation and the exact result is obtained in the limit when g << 1 << g ln\omega.

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