We present a tight-binding continued-fraction description of the energy spectrum of zigzag and armchair graphene ribbons. The effect of a uniform magnetic field threading biased ribbons and the presence of top gates are also discussed. Stationary currents distribution is obtained by the nonequilibrium Keldysh-Green's function method. A pictorial description of conductive channels in the quantum Hall regime is provided. The analysis of the currents under applied gates shows that the Dirac-like nature of the states at the corners of the graphene Brillouin zone can be exploited to realize current manipulation.

Electronic states, quantum Hall effect and current profiles in graphene ribbons

GROSSO, GIUSEPPE;
2007

Abstract

We present a tight-binding continued-fraction description of the energy spectrum of zigzag and armchair graphene ribbons. The effect of a uniform magnetic field threading biased ribbons and the presence of top gates are also discussed. Stationary currents distribution is obtained by the nonequilibrium Keldysh-Green's function method. A pictorial description of conductive channels in the quantum Hall regime is provided. The analysis of the currents under applied gates shows that the Dirac-like nature of the states at the corners of the graphene Brillouin zone can be exploited to realize current manipulation.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/229937
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