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Phys Rev Lett. 2006 Mar 3;96(8):086805. Epub 2006 Mar 3.

Landau-level degeneracy and quantum Hall effect in a graphite bilayer.

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1
Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom.

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 2pi. Its high-magnetic-field Landau-level spectrum consists of almost equidistant groups of fourfold degenerate states at finite energy and eight zero-energy states. This can be translated into the Hall conductivity dependence on carrier density, sigma(xy)(N), 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, in contrast to (4n + 2)e2/h sequencing in a monolayer.

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