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Optical phonon spectrum and the Fröhlich Hamiltonian in würtzite-type nanotubes

D E N Brancus et al 2009 J. Phys.: Condens. Matter 21 485301 (9pp)   doi: 10.1088/0953-8984/21/48/485301  Help

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D E N Brancus and L Ion
Faculty of Physics, University of Bucharest, street Atomistilor no. 405, POB MG-11, 077125, Magurele-Ilfov, Romania
E-mail: dane@solid.fizica.unibuc.ro and lucian@solid.fizica.unibuc.ro

Abstract. Dispersion laws of the full optical phonon spectrum of a nanotube made of würtzite-type materials as well as the corresponding Fröhlich electron–phonon interaction terms are derived and studied within the framework of the dielectric continuum model for a uniaxial crystal. The coupling coefficients describing electron–phonon interaction are obtained in an analytical closed form, depending on the dispersion law of the involved phonon branch. We present and discuss results of numerical calculations of optical phonon spectrum and Fröhlich coupling coefficients for some chosen würtzite AlN nanotubes. Observed features, induced by the anisotropy of würtzite-type materials, are discussed.

Print publication: Issue 48 (2 December 2009)
Received 17 August 2009, in final form 6 October 2009
Published 30 October 2009

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