Simulation of the Cyclotron Resonance in Dual-Gated Bilayer Graphene phase diagram

We present numerical simulations of the cyclotron transitions between Landau-levels (LL) in dual-gated bilayer graphene and its dependence on the external electric potential (U) at magnetic field B = 13 T. This dual gate device allows independent control over density ($ u$) and electric potential (U). Taking into account Coulomb interactions in Hartree-Fock approximation, anisotropic terms, including electron-phonon interactions, and regularization effects from the infinitely deep Fermi sea, we capture a phase transition from a canted anti-ferromagnetic phase (CAF) into a fully polarized phase (FLP) at the charge neutrality point and a critical U matching with recent experimental measurements. At neutrality, the transitions from LL -2 →1 and LL 1 → 2 are found to be in agreement with experiments at high U. At $ u=4$, when all eight states with LL indices 0 and 1 as well as both spin and valley orientations are filled, the theory fits experimental results with high precision.