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Adiabatic quantum pumping in graphene with magnetic barriers

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Abstract

We study an adiabatic quantum pump effect in a two terminal graphene device with two oscillating square electric barriers and a stationary magnetic barrier using the scattering matrix approach. The model employs the low-energy Dirac approximation and incorporates the possible existence of a finite band gap in graphene spectrum. We show that in this case valley-polarized and pure valley currents can be pumped due to the valley symmetry breaking. For a δ-function magnetic barrier we present analytical expressions for bilinear total and valley pumping responses. These results are compared to numerical ones for a double δ-function, a square and a triple square magnetic barriers.

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Authors and Affiliations

  1. National Research Center “Kurchatov Institute”, Kurchatov Sq. 1, 123182, Moscow, Russia

    Evgeny Grichuk & E. Manykin

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  1. Evgeny Grichuk
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  2. E. Manykin
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Correspondence to Evgeny Grichuk.

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Grichuk, E., Manykin, E. Adiabatic quantum pumping in graphene with magnetic barriers. Eur. Phys. J. B 86, 210 (2013). https://doi.org/10.1140/epjb/e2013-40122-4

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  • DOI: https://doi.org/10.1140/epjb/e2013-40122-4

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