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Effective Masses for Zigzag Nanotubes in Magnetic Fields

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Abstract

We consider the Schrödinger operator with a periodic potential on quasi-1D models of zigzag single-wall carbon nanotubes in magnetic field. The spectrum of this operator consists of an absolutely continuous part (intervals separated by gaps) plus an infinite number of eigenvalues with infinite multiplicity. We obtain identities and a priori estimates in terms of effective masses and gap lengths.

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Authors and Affiliations

  1. Institut für Mathematik, Humboldt Universität zu Berlin, Rudower Chaussee 25, 12489, Berlin, Germany

    Evgeny Korotyaev

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  1. Evgeny Korotyaev
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Correspondence to Evgeny Korotyaev.

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Korotyaev, E. Effective Masses for Zigzag Nanotubes in Magnetic Fields. Lett Math Phys 83, 83–95 (2008). https://doi.org/10.1007/s11005-007-0212-9

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  • DOI: https://doi.org/10.1007/s11005-007-0212-9

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