Graphene rings in magnetic fields: Aharonov-Bohm effect and valley splitting

Published

Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Wurm, J; Wimmer, M; Baranger, HU; Richter, K

Published Date

  • February 23, 2010

Published In

Volume / Issue

  • 25 / 3

Electronic International Standard Serial Number (EISSN)

  • 1361-6641

International Standard Serial Number (ISSN)

  • 0268-1242

Digital Object Identifier (DOI)

  • 10.1088/0268-1242/25/3/034003

Citation Source

  • Scopus