Topological confinement in graphene bilayer quantum rings
arXiv:1003.3429 · doi:10.1063/1.3431618
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.
References in corpus (6)
- The electronic properties of graphene
- Topological confinement in bilayer graphene
- Aharonov-Bohm effect and broken valley-degeneracy in graphene rings
- Pseudospin valve in bilayer graphene: towards graphene-based pseudospintronics
- Simplified model for the energy levels of quantum rings in single layer and bilayer graphene
- Electrostatically confined Quantum Rings in bilayer Graphene
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- Graphene: Kinks, Superlattices, Landau levels, and Magnetotransport
- Valley current generation using biased bilayer graphene dots
- Magnetic edge states in Aharonov-Bohm graphene quantum rings
- Trigonal distortion of topologically confined channels in bilayer Graphene
- Scattering of topological kink-antikink states in bilayer graphene structures
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- Double quantum dots defined in bilayer graphene
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- Magnetoconductance of the Corbino disk in graphene: Chiral tunneling and quantum interference in the bilayer case
- Trivial and topological bound states in bilayer graphene quantum dots and rings
- Electrostatic tuning of bilayer graphene edge modes
- Electric field control of spins in bilayer graphene: Local moment formation and local moment interactions