paper

Landau level degeneracy and quantum Hall effect in a graphite bilayer

arXiv:cond-mat/0510237 · doi:10.1103/PhysRevLett.96.086805

Abstract

We derive an effective two-dimensional Hamiltonian to describe the low energy electronic excitations of a graphite bilayer, which correspond to chiral quasiparticles with a parabolic dispersion exhibiting Berry phase . 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 and has a ``double'' step between the hole and electron gases across zero density, in contrast to sequencing in a monolayer.

4 pages, 4 eps figures

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