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

By E. McCann, Vladimir Fal'ko. Physical Review Letters, 2005

1,451 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/33182e39286bb6fb5defc097ef3b715baa55b159

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Electrically tunable transverse magnetic focusing in graphene (2013, background): “An additional possible source of mismatch in BLG, which does not exist in MLG, is trigonal warping [17] of the Fermi surface due to the next nearest neighbor inter-layer hopping term γ3.”
Chiral tunnelling and the Klein paradox in graphene (2006, background): “On the other hand, these quasiparticles are also chiral and described by spinor wavefunction”
Ultralow-Voltage Bilayer Graphene Tunnel FET (2009, background): “V ERY recent theoretical and experimental papers [1]–[4] have shown the possibility of inducing an energy gap (Egap) in bilayer graphene by means of an applied electric field perpendicular to the graphene plane.”
The role of contact resistance in graphene field-effect devices (2017, background): “A gap opening can be also obtained by breaking the symmetry along the vertical (c-) axis stacking two layers, the AB-stacking, to form a bilayer graphene (BLG) [65].”