Graphene n-p junction in a strong magnetic field: a semiclassical study

Abstract

We provide a semiclassical description of the electronic transport through graphene n-p junctions in the quantum Hall regime. A semiclassical approximation for the conductance is derived in terms of the various snake-like trajectories at the interface of the junction. For a symmetric (ambipolar) configuration, the general result can be recovered by means of a simple scattering approach, providing a very transparent qualitative description of the problem under study. Consequences of our findings for the understanding of recent experiments are discussed.

10 pages, 2 figures

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• Edge effects in graphene nanostructures: I. From multiple reflection expansion to density of states
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• Shot noise generated by graphene p-n junctions in the quantum Hall effect regime
• Semiclassical magnetotransport in graphene n-p junctions
• Random matrices and quantum chaos in weakly-disordered graphene nanoflakes
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• Spectroscopy of snake states using a graphene Hall bar
• Valley isospin of interface states in a graphene $pn$ junction in the quantum Hall regime
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• Switchable valley filter based on a graphene $p$-$n$ junction in a magnetic field
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• Graphene $n$-$p$ junctions in the Quantum Hall regime: numerical study of incoherent scattering effects
• Graphene Hall bar with an asymmetric pn-junction
• Andreev magneto-interferometry in topological hybrid junctions
• Theory of ballistic quantum transport in presence of localized defects
• Giant tunable magnetoresistance of electrically gated graphene ribbon with lateral interface under magnetic field
• Band engineering aided by topological edge state proximity effects: Inducing anti-chirality in graphene