On the Verdet constant and Faraday rotation for graphene-like materials

Details On the Verdet constant and Faraday rotation for graphene-like materials On the Verdet constant and Faraday rotation for graphene-like materials

2011-12-12

arxiv.org/abs/1112.2613v1

Physics

Mathematical Physics

21 pages

Scientific paper

We present a rigorous and rather self-contained analysis of the Verdet constant in graphene- like materials. We apply the magnetic perturbation theory to a tight-binding model and obtain a relatively simple and exactly computable formula for the Verdet constant, at all tempera- tures and frequencies. Moreover, for our nearest-neighbor model of graphene we show that the transverse component of the conductivity tensor has an asymptotic Taylor expansion in the external magnetic field where all the coefficients of even powers are zero.

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