
Graphene rings in magnetic fields: Aharonov-Bohm effect and valley splitting
We study the conductance of mesoscopic graphene rings in the presence of a perpendicular magnetic field by means of numerical calculations based on a tight-binding model. First, we consider the magnetoconductance of such rings and observe the Aharonov-Bohm effect. We investigate different regimes of the magnetic flux up to the quantum Hall regime, where the Aharonov-Bohm oscillations are suppressed. Results for both clean (ballistic) and disordered (diffusive) rings are presented. Second, we study rings with smooth mass boundary that are weakly coupled to leads. We show that the valley degeneracy of the eigenstates in closed graphene rings can be lifted by a small magnetic flux, and that this lifting can be observed in the transport properties of the system. © 2010 IOP Publishing Ltd.
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- Applied Physics
- 5104 Condensed matter physics
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- 0912 Materials Engineering
- 0906 Electrical and Electronic Engineering
- 0204 Condensed Matter Physics
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Published In
DOI
EISSN
ISSN
Publication Date
Volume
Issue
Related Subject Headings
- Applied Physics
- 5104 Condensed matter physics
- 4009 Electronics, sensors and digital hardware
- 0912 Materials Engineering
- 0906 Electrical and Electronic Engineering
- 0204 Condensed Matter Physics