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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
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Asymmetry in bilayer graphene
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Layer asymmetry Nearest neighbour transitions Layer asymmetry
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Electron-hole asymmetry Next- nearest neighbour transitions Energy difference between dimer and non-dimer sites
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Layer asymmetry (red) Layer and e-h asymmetry (black)
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Landau Levels with electron-hole and layer asymmetry
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Excitations Integer filling Half-filling
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Coulomb interaction
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Cyclotron transitions
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Cyclotron transitions at lower magnetic fields
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Cyclotron transitions at higher magnetic fields
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Symmetric bilayer graphene Monolayer graphene
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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, 130-133. V.E. Bisti, N.N. Kirova. arXiv: 1102.2638v1, 20011.
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Monolayer: Independent of H Bilayer: for H=40T
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Landau Levels with layer asymmetry
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Asymmetric bilayer
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