%0 Journal Article
%T Hypersound Absorption of Acoustic Phonons in a Degenerate Carbon Nanotube
%A K. A. Dompreh
%A N. G. Mensah
%A S. Y. Mensah
%A S. S. Abukari
%A F. Sam
%A R. Edziah
%J Graphene
%P 62-74
%@ 2169-3471
%D 2015
%I Scientific Research Publishing
%R 10.4236/graphene.2015.43007
%X Absorption of acoustic phonons was studied in degenerate Carbon Nanotube (i.e. where the electrons are found close to the Fermi level). The calculation of the hypersound absorption coefficient (<img src=\"Edit_821a3899-553d-4856-8495-25e1f9938c22.bmp\" alt=\"\" />)&nbsp;was done in the regime where <img src=\"Edit_3a03581f-46f4-434d-8526-18b3b4555269.bmp\" alt=\"\" /> (q is the acoustic phonon number and l is the electron mean free path). At <em>T</em> = 10K  and <em>¦È </em>&gt; 0 (<em>¦È</em> being scattering angle), the dependence of <img src=\"Edit_821a3899-553d-4856-8495-25e1f9938c22.bmp\" alt=\"\" /> on acoustic wave number (q), frequency (<em>¦Ø</em><sub>q</sub>), and <sub><img src=\"Edit_fdb7fd82-a7ca-4597-bf26-70447a5e9c16.bmp\" alt=\"\" /></sub>, (<em>V</em><sub>s</sub> and <em>V</em><sub>D</sub> being the speed of sound and the drift velocity respectively) were analysed numerically at n = 0,¡À1,¡À2 (where n is an integer ) and presented graphically. It was observed that when <em>¦Ã</em> &lt; 0, the maximum amplification was attained at <em>V</em><sub>D</sub> = 1.1<em>V</em><sub>s</sub> which occurred at <em>E</em> = 51.7V¡¤cm<sup>-1</sup>. In the second harmonics, (n = ¡À2), the absorption obtained was compared to experimental measurement of acoustoelectric current via the Weinreich relation and the results qualitatively agreed with each other.
%K Carbon Nanotube
%K Hyperound
%K Absorption
%K Acoustoelectric
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=58505