Snake states in graphene quantum dots in the presence of a p-n junction

Abstract

We investigate the magnetic interface states of graphene quantum dots that contain p-n junctions. Within a tight-binding approach, we consider rectangular quantum dots in the presence of a perpendicular magnetic field containing p-n, as well as p-n-p and n-p-n junctions. The results show the interplay between the edge states associated with the zigzag terminations of the sample and the snake states that arise at the p-n junction, due to the overlap between electron and hole states at the potential interface. Remarkable localized states are found at the crossing of the p-n junction with the zigzag edge having a dumb-bell shaped electron distribution. The results are presented as function of the junction parameters and the applied magnetic flux.

13 pages, 23 figures, to be appeared in Phys. Rev. B

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• Chiral interface states in graphene $p$-$n$ junctions
• Lorentz force effects for graphene Aharonov-Bohm interferometers
• Switchable valley filter based on a graphene $p$-$n$ junction in a magnetic field
• Understanding magnetic focusing in graphene $p$-$n$ junctions through quantum modeling
• Aharonov-Bohm conductance oscillations and current equilibration in local n - p junctions in graphene
• Theory of ballistic quantum transport in presence of localized defects
• Interplay between Aharonov-Bohm interference and parity selective tunneling in zigzag graphene nanoribbon rings