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 a
function of the junction parameters and the applied magnetic flux. DOI:
10.1103/PhysRevB.87.035426
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