Topological confinement in graphene bilayer quantum rings

Xavier, L. J. P.; Pereira, J. M.; Chaves, Andrey; Farias, G. A.; Peeters, F. M.
May 2010
Applied Physics Letters;5/24/2010, Vol. 96 Issue 21, p212108
Academic Journal
We find 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/antikink 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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