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We show that opacity of a clean multilayer graphene flake depends on thehelicity of the circular polarized electromagnetic radiation. The effect can beunderstood in terms of the pseudospin selection rules for the interband opticaltransitions in the presence of exchange electron-electron interactions whichalter the pseudospin texture in momentum space. The interactions describedwithin a semi-analytical Hartree--Fock approach lead to the formation of thetopologically different broken--symmetry states characterized by Chern numbersand zero-field anomalous Hall conductivities.

Polarization-sensitive absorption of THz radiation by interacting electrons in chirally stacked multilayer graphene