PIRSA:11040094 Conference Condensed Matter

DOI10.48660/11040094

Conference/School: 4 Corner Southwest Ontario Condensed Matter Physics Symposium 2011

Miransky, V. (2011). Theory of quantum Hall effect in bilayer grapheme. Perimeter Institute. https://pirsa.org/11040094

Miransky, Volodya. Theory of quantum Hall effect in bilayer grapheme. Perimeter Institute, Apr. 26, 2011, https://pirsa.org/11040094 

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

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.

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