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Scattering of Dirac electrons by a random array of magnetic flux tubes

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Abstract

The scattering of two-dimensional (2D) massless electrons as presented in graphene in the presence of a random array of circular magnetic flux tubes is investigated. The momentum relaxation time and the Hall factor are obtained using optical theorem techniques for scattering. Electrons with energy close to those of the Landau levels of the flux tubes exhibit resonant scattering and have a long life-time to reside inside the magnetic flux tube. These resonances appear as sharp structures in the Hall factor and the magneto-resistance.

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Acknowledgements

This work was supported by the European Science Foundation (ESF) under the EUROCORES Program EuroGRAPHENE within the project CONGRAN and the Flemish Science Foundation (FWO-Vl). We acknowledge fruitful discussions with A. Matulis.

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  1. Departement Fysica, Universiteit Antwerpen, Groenenborgerlaan 171, 2020, Antwerpen, Belgium

    M. Ramezani Masir & F. M. Peeters

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  1. M. Ramezani Masir
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  2. F. M. Peeters
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Correspondence to M. Ramezani Masir.

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Ramezani Masir, M., Peeters, F.M. Scattering of Dirac electrons by a random array of magnetic flux tubes. J Comput Electron 12, 115–122 (2013). https://doi.org/10.1007/s10825-013-0440-4

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