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arXiv · 1003.3429

Topological confinement in graphene bilayer quantum rings

L. J. P. Xavier·J. M. Pereira Jr·Andrey Chaves·G. A. Farias·F. M. Peeters
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Abstract

We demonstrate the existence of localized electron and hole states in a ring-shaped potential kink in biased bilayer graphene. Within the continuum description, we show that for sharp potential steps the Dirac equation describing carrier states close to the K (or K') point of the first Brillouin zone can be solved analytically for a circular kink/anti-kink dot. The solutions exhibit interfacial states which exhibit Aharonov-Bohm oscillations as functions of the height of the potential step and/or the radius of the ring.

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L. J. P. Xavier, J. M. Pereira Jr, Andrey Chaves, G. A. Farias, F. M. Peeters. 2010-03-17. Topological confinement in graphene bilayer quantum rings. https://doi.org/10.1063/1.3431618

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