Graphene Rings in Magnetic Fields: Aharonov-Bohm Effect and Valley Splitting

Details Graphene Rings in Magnetic Fields: Aharonov-Bohm Effect and Valley Splitting Graphene Rings in Magnetic Fields: Aharonov-Bohm Effect and Valley Splitting

2009-04-21

arxiv.org/abs/0904.3182v1

Semicond. Sci. Technol. 25, 034003 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 9 figures

Scientific paper

10.1088/0268-1242/25/3/034003

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.

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