Effect of a nonuniform magnetic field on the Landau states in a biased AA-stacked graphene bilayer

We study the Landau states in the biased AA-stacked graphene bilayer under an exponentially decaying magnetic field along one spatial dimension. The results show that the energy eigenvalues of the system are strongly dependent on the inhomogeneity of the magnetic field and the bias voltage between t...

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Published in:Physics letters. A 2013-11, Vol.377 (40), p.2901-2904
Main Authors: Wang, Dali, Jin, Guojun
Format: Article
Language:English
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AA-stacked bilayer graphene
Bias
Landau state
Nonuniform magnetic field
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description We study the Landau states in the biased AA-stacked graphene bilayer under an exponentially decaying magnetic field along one spatial dimension. The results show that the energy eigenvalues of the system are strongly dependent on the inhomogeneity of the magnetic field and the bias voltage between the graphene layers, and in particular the reordering and mixing of finite Landau states could occur. Moreover, we also demonstrate that the current carrying states induced by the decaying magnetic field propagate vertically to the magnetic-field gradient within the graphene sample and can be further modulated by the bias voltage between the layers. •The effect of a decaying magnetic field on the Landau states in the biased AA-stacked bilayer graphene.•Energy eigenvalues of the system are strongly dependent on the inhomogeneity of the magnetic field and the interlayer bias voltage.•The reordering and mixing of finite Landau states in this system could occur.•The current-carrying states induced by the decaying magnetic field propagate vertically to the magnetic-field gradient within the sample.•These current-carrying states can be further modulated by the bias voltage between the layers.
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subjects AA-stacked bilayer graphene
Bias
Landau state
Nonuniform magnetic field
title Effect of a nonuniform magnetic field on the Landau states in a biased AA-stacked graphene bilayer
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