%0 Journal Article
%T Induced Hall-Like Current by Acoustic Phonons in Semiconductor Fluorinated Carbon Nanotube
%A Daniel Sakyi-Arthur
%A Samuel Y. Mensah
%A Kofi W. Adu
%A Kwadwo A. Dompreh
%A Raymond Edziah
%A Natalia G. Mensah
%A Cynthia Jebuni-Adanu
%J World Journal of Condensed Matter Physics
%P 71-87
%@ 2160-6927
%D 2020
%I Scientific Research Publishing
%R 10.4236/wjcmp.2020.102005
%X We show that Hall-like current can be induced by acoustic phonons in a nondegenerate, semiconductor fluorine-doped single-walled carbon nanotube (FSWCNT) using a tractable analytical approach in the hypersound regime <img src=\"Edit_32e72a2c-f884-45d7-bec3-c005e164385d.png\" alt=\"\" />&nbsp;(<em>q</em> is the modulus of the acoustic wavevector and <img src=\"Edit_69914c5a-2860-41a6-9aba-648633f68a83.png\" alt=\"\" /> is the electron mean free path). We observed a strong dependence of the Hall-like current on the magnetic field, <em>H</em>, the acoustic wave frequency, <img src=\"Edit_4567489f-355f-4759-99b2-0a21272aeb88.png\" alt=\"\" /> , the temperature, <em>T</em>, the overlapping integral, <img src=\"Edit_edbf4f80-4ed9-4d34-8ba1-179197ec1247.png\" alt=\"\" /> , and the acoustic wavenumber, <em>q</em>. Qualitatively, the Hall-like current exists even if the relaxation time <img src=\"Edit_8344de9c-6706-472e-b426-a9620c8754a8.png\" alt=\"\" /> does not depend on the carrier energy but has a strong spatial dispersion, and gives different results compared to that obtained in bulk semiconductors. For <img src=\"Edit_a33e68d0-303f-46f8-a1a2-e7374faafcb0.png\" alt=\"\" /> and <img src=\"Edit_33b89c02-dd1a-4322-a3e0-183ffe8513e9.png\" alt=\"\" /> , the Hall-like current is <img src=\"Edit_199b6ec8-b164-40c6-892f-5a6d5aa0dcae.png\" alt=\"\" /> in the absence of an electric field and   in the presence of an electric field at 300 K. Similarly, the surface electric field <img src=\"Edit_3e16d71d-4c63-46a2-b5d0-92c2b22c9718.png\" alt=\"\" /> due to the Hall-like current is <img src=\"Edit_0ebd120e-63ea-496b-bf03-3f67144b47c4.png\" alt=\"\" /> in the absence of an external electric field. In the presence of an external electric field, <img src=\"Edit_27616ffb-4e21-449c-8406-b0b3db21a112.png\" alt=\"\" /> and <img src=\"Edit_27c308b6-57a9-4859-b2ce-f59c767b25df.png\" alt=\"\" /> for <img src=\"Edit_317a1e77-9cc5-46bd-a05c-684c6f40cc4b.png\" alt=\"\" /> at 300 K. <em>q</em> and <img src=\"Edit_bfa66af4-0690-4f4b-90f2-d0096b4dd8b2.png\" alt=\"\" /> can be used to tune the Hall-like current and <img src=\"Edit_463c1064-4d55-4435-ae85-8bae9aa76148.png\" alt=\"\" /> of the FSWCNT. This offers the potential for room temperature application as an acoustic switch or transistor, as well as a material for ultrasound current source density imaging (UCSDI) and AE hydrophone device in biomedical engineering.
%K Carbon Nanotube
%K Fluorinated
%K Hall-Like Current
%K Cyclotron
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=100122