Title: Zigzag nanoribbons in external electric and magnetic fields

Authors: Evgeny L. Korotyaev, Anton A. Kutsenko

Addresses: Saint-Petersburg State University of Technology and Design, Bolshaya Morskaya 18, Russia. ' Laboratorie De Mecoaniquc Physique UMR CNRS 5469, Universite Bordeaux 1, Talence 33405, France

Abstract: We consider the Schrodinger operators on zigzag nanoribbons (tight-binding models) in external magnetic and electric fields. If these fields are absent, then the spectrum of the Schrodinger operator consists of two non-flat bands and one flat band (an eigenvalue with infinite multiplicity) between them. We describe all magnetic and electric fields for which the unperturbed flat band remains the flat band and when one splits into the small band of the continuous spectrum. Also we determine spectral asymptotics for small fields and solve inverse spectral problem.

Keywords: nanoribbon spectral band; magnetic Schrodinger operators; zigzag nanoribbons; electric fields; magnetic fields; carbon nanoribbons; nanotechnology.

DOI: 10.1504/IJCSM.2010.033933

International Journal of Computing Science and Mathematics, 2010 Vol.3 No.1/2, pp.168 - 191

Published online: 04 Jul 2010 *

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