English

Topological confinement in graphene bilayer quantum rings

Mesoscale and Nanoscale Physics 2015-05-18 v1

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.

Keywords

Cite

@article{arxiv.1003.3429,
  title  = {Topological confinement in graphene bilayer quantum rings},
  author = {L. J. P. Xavier and J. M. Pereira and Andrey Chaves and G. A. Farias and F. M. Peeters},
  journal= {arXiv preprint arXiv:1003.3429},
  year   = {2015}
}
R2 v1 2026-06-21T14:59:03.921Z