TY - JOUR

T1 - Landau level degeneracy and quantum Hall effect in a graphite bilayer.

AU - McCann, Edward

AU - Fal’ko, Vladimir I.

N1 - ©2006 The American Physical Society

PY - 2006/3/3

Y1 - 2006/3/3

N2 - 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 four-fold 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 4e^2/h and has a “double” 8e^2/h step between the hole and electron gases across zero density, in contrast to (4n + 2)e^2/h sequencing in a monolayer.

AB - 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 four-fold 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 4e^2/h and has a “double” 8e^2/h step between the hole and electron gases across zero density, in contrast to (4n + 2)e^2/h sequencing in a monolayer.

U2 - 10.1103/PhysRevLett.96.086805

DO - 10.1103/PhysRevLett.96.086805

M3 - Journal article

VL - 96

SP - 086805

JO - Physical review letters

JF - Physical review letters

SN - 1079-7114

IS - 8

ER -