Magneto-optical conductivity in graphene

Abstract

Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and hasbeen found to exhibit an unusual integer quantum Hall effect. In particular, the lowestLandau level can be thought of as shared equally by electrons and holes, and this leads tocharacteristic behaviour of the magneto-optical conductivity as a function of frequencyΩ for various values ofthe chemical potential μ. Particular attention is paid to the optical spectral weight under various absorption peaks and its redistributionas μ is varied. We also provide results for magnetic fieldB as well as chemical potential sweeps at selected fixed frequencies, which can be particularlyuseful for possible measurements in graphene. Both diagonal and Hall conductivities areconsidered.