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