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Electrons in bilayer graphene

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Electrons in bilayer graphene possess an unusual property: they are chiral quasiparticles characterized by Berry phase 2p. I will review the tight-binding model of bilayer graphene which determines the band structure and low-energy quasiparticle properties of this material. Its high-magnetic-field Landau level spectrum consists of almost equidistant groups of four-fold degenerate states at finite energy and eight zero-energy states. This can be translated into the Hall conductivity dependence on carrier density which exhibits plateaus at integer values of 4e2/h and has a “double” 8e2/h step between the hole and electron gases across zero density.

This talk is part of the Theory of Condensed Matter series.

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