V.E. Bisti Institute of Solid State Physics RAS, Chernogolovka, Russia N. N. Kirova LPS, Universite Paris Sud, Orsay, France COULOMB INTERACTION AND ELECTRON-HOLE.

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V.E. Bisti Institute of Solid State Physics RAS, Chernogolovka, Russia N. N. Kirova LPS, Universite Paris Sud, Orsay, France COULOMB INTERACTION AND ELECTRON-HOLE ASYMMETRY IN CYCLOTRON RESONANCE OF BILAYER GRAPHENE IN HIGH MAGNETIC FIELD

Asymmetry in bilayer graphene

Layer asymmetry Nearest neighbour transitions Layer asymmetry

Electron-hole asymmetry Next- nearest neighbour transitions Energy difference between dimer and non-dimer sites

Layer asymmetry (red) Layer and e-h asymmetry (black)

Landau Levels with electron-hole and layer asymmetry

Excitations Integer filling Half-filling

Coulomb interaction

Cyclotron transitions

Cyclotron transitions at lower magnetic fields

Cyclotron transitions at higher magnetic fields

Symmetric bilayer graphene Monolayer graphene

Full-symmetric case (half-filling) – – splitting due to Coulomb interaction Electron-hole asymmetry – no splitting Asymmetric case (low field) – splitting die to electron-hole asymmetry Asymmetric case (high field) – splitting die to Coulomb interaction and layer asymmetry Summary V.E. Bisti, N.N. Kirova. JETP Letters 90, v.2, 2009, V.E. Bisti, N.N. Kirova. arXiv: v1,

Monolayer: Independent of H Bilayer: for H=40T

Landau Levels with layer asymmetry

Asymmetric bilayer