Theory of quantum Hall effect in bilayer grapheme Speaker(s): Volodya Miransky
Abstract: Utilizing the BaymKadanoff formalism with the polarization function calculated in the random phase approximation, the dynamics of the ÃÂ½=0, ÃÂ±1, ÃÂ±2, ÃÂ±3, ÃÂ±4 quantum Hall states in bilayer graphene is analyzed. In particular, in the undoped graphene, corresponding to the ÃÂ½ =0 state, two phases with nonzero energy gap, the ferromagnetic and layer asymmetric ones, are found. The phase diagram in the plane (ÃÂ0,B), where ÃÂ0 is
a topbottom gates voltage imbalance, is described. It is shown that the energy gaps in these phases scale linearly, ÃÂE~10 B [T] K, with magnetic field. The ground states of the doped states, with ÃÂ½=ÃÂ±1, ÃÂ±2, ÃÂ±3, ÃÂ±4,
are also described. The comparison of these results with recent experiments in bilayer graphene is presented.
Date: 26/04/2011  3:00 pm
