Dynamic conductivity in graphene beyond linear response

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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4.1 pages, 2 figures; published version

Scientific paper

10.1103/PhysRevLett.103.246802

The independence of the dynamic conductivity of intrinsic graphene of frequency takes its origin in the compensation of the vanishing density of states by the diverging matrix element of the corresponding interband transition. The applicability of the linear response approach, however, breaks down when this matrix element becomes comparable with the inverse electron lifetime. We show that the physics of the ac conductivity in this regime is determined by Rabi oscillations and obtain it beyond the first order perturbation theory. Under strong applied electric fields the induced current eventually saturates at a value determined by the frequency and the lifetime. We also calculate the electromagnetic response of a graphene sheet and find that the optical transparency is increased by the non-linear effects and make experimental predictions.

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