Renormalization and cyclotron resonance in bilayer graphene with weak electron-hole asymmetry

Abstract

Cyclotron resonance in bilayer graphene is studied with weak electron-hole asymmetry suggested by experiment taken into account and with the focus on many-body corrections that evade Kohn's theorem. It is shown by direct calculation that the theory remains renormalizable to $O({e}^{2})$ in the presence of electron-hole asymmetry parameters, and a general program to carry out renormalization for graphene under a magnetic field is presented. Inclusion of electron-hole asymmetry in part improves the theoretical fit to the existing data, and the data appear to indicate the running of the renormalized velocity factor with the magnetic field, which is a key consequence of renormalization.