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Cyclotron resonance in graphene is studied with focus on many-bodycorrections to the resonance energies, which evade Kohn's theorem. The genuinemany-body corrections turn out to derive from vacuum polarization, specific tographene, which diverges at short wavelengths. Special emphasis is placed onthe need for renormalization, which allows one to determine many-bodycorrections uniquely from one resonance to another. For bilayer graphene, inparticular, both intralayer and interlayer coupling strengths undergo infiniterenormalization; as a result, the renormalized velocity and interlayer couplingstrength run with the magnetic field. A comparison of theory with theexperimental data is made for both monolayer and bilayer graphene.

Many-body corrections to cyclotron resonance in monolayer and bilayer graphene