Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-09-09
Phys. Rev. B 82,161408 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 2 figures Minor modifications as published
Scientific paper
10.1103/PhysRevB.82.161408
From the scattering of semicoherent-state wavepackets at high magnetic field, we derive analytically the transmission coefficient of electrons in graphene in the quantum Hall regime through a smooth constriction described by a quadratic saddle-point electrostatic potential. We find anomalous half-quantized conductance steps that are rounded by a backscattering amplitude related to the curvature of the potential. Furthermore, the conductance in graphene breaks particle-hole symmetry in cases where the saddle-point potential is itself asymmetric in space. These results have implications both for the interpretation of split-gate transport experiments, and for the derivation of quantum percolation models for graphene.
Champel Thierry
Florens Serge
Flöser Martina
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