D E N Brancus and L Ion 2009 J. Phys.: Condens. Matter 21 485301 doi:10.1088/0953-8984/21/48/485301
Optical phonon spectrum and the Fröhlich Hamiltonian in würtzite-type nanotubes
D E N Brancus and L Ion
Show affiliationsDispersion 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.
- PACS
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63.22.-m Phonons or vibrational states in low-dimensional structures and nanoscale materials
- Subjects
- Dates
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Issue 48 (2 December 2009)
Received 17 August 2009, in final form 6 October 2009
Published 30 October 2009
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Optical phonon spectrum and the Fröhlich Hamiltonian in würtzite-type nanotubes
D E N Brancus and L Ion 2009 J. Phys.: Condens. Matter 21 485301
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