Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-06-27
Phys. Rev. B 84, 195428 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
22 pages, 19 figures
Scientific paper
10.1103/PhysRevB.84.195428
We provide a semiclassical description of the electronic transport through graphene n-p junctions in the quantum Hall regime. This framework is known to experimentally exhibit conductance plateaus whose origin is still not fully understood. In the magnetic regime (E < vF B), we show the conductance of excited states is essentially zero, while that of the ground state depends on the boundary conditions considered at the edge of the sample. In the electric regime (E > vF B), for a step-like electrostatic potential (abrupt on the scale of the magnetic length), we derive a semiclassical approximation for the conductance in terms of the various snake-like trajectories at the interface of the junction. For a symmetric configuration, the general result can be recovered using a simple scattering approach, providing a transparent analysis of the problem under study. We thoroughly discuss the semiclassical predicted behavior for the conductance and conclude that any approach using fully phase-coherent electrons will hardly account for the experimentally observed plateaus.
Carmier Pierre
Lewenkopf Caio
Ullmo Denis
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