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Multipole-based modal analysis of gate-defined quantum dots in graphene

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An Erratum to this article was published on 28 October 2013

Abstract

A new numerical method based on the multipoles of the Dirac equation is presented for rigorous and fast analysis of electron scattering from gate-defined structures in graphene. The new method is used to study the strongly bound states and the weakly bound states of a circular quantum dot. The accuracy of the obtained results is then verified by the T-matrix method. Furthermore, we characterize the resonances of elliptical gate-defined quantum dots and compare these resonances with the strongly bound states of circular dots. The effects of coupling between two quantum dots are also investigated.

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Authors and Affiliations

  1. CIARS, Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, N2L 3G1, Canada

    S. Mohsen Raeis-Zadeh & Safieddin Safavi-Naeini

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  1. S. Mohsen Raeis-Zadeh
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  2. Safieddin Safavi-Naeini
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Correspondence to S. Mohsen Raeis-Zadeh.

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Raeis-Zadeh, S., Safavi-Naeini, S. Multipole-based modal analysis of gate-defined quantum dots in graphene. Eur. Phys. J. B 86, 295 (2013). https://doi.org/10.1140/epjb/e2013-30970-1

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