Theory of quantum Hall effect in bilayer grapheme

          @misc{ scivideos_PIRSA:11040094,
            doi = {10.48660/11040094},
            url = {https://pirsa.org/11040094},
            author = {Miransky, Volodya},
            keywords = {Quantum Matter},
            language = {en},
            title = {Theory of quantum Hall effect in bilayer grapheme},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2011},
            month = {apr},
            note = {PIRSA:11040094 see, \url{https://scivideos.org/index.php/pirsa/11040094}}
          }
          

Abstract

Utilizing the Baym-Kadanoff formalism with the polarization function calculated in the random phase approximation, the dynamics of the ν=0, ±1, ±2, ±3, ±4 quantum Hall states in bilayer graphene is analyzed. In particular, in the undoped graphene, corresponding to the ν =0 state, two phases with nonzero energy gap, the ferromagnetic and layer asymmetric ones, are found. The phase diagram in the plane (Δ0,B), where Δ0 is a top-bottom gates voltage imbalance, is described. It is shown that the energy gaps in these phases scale linearly, ΔE~10 B [T] K, with magnetic field. The ground states of the doped states, with ν=±1, ±2, ±3, ±4, are also described. The comparison of these results with recent experiments in bilayer graphene is presented.