On the amplification of acoustic phonons in carbon nanotube

2016/07/11 by K. A. Dompreh, N. G. Mensah, Dompreh, K. A. +5
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.1607.02906

12 pages, 2 figures

arxiv created 2016/07/11 · arxiv updated 2016/07/12

Abstract

We present a theoretical study of acoustic phonons amplification in Carbon Nanotubes (CNT). The phenomenon is via Cerenkov emission (CE) of acoustic phonons using intraband transitions proposed by Mensah et. al.,~\cite1 in Semiconductor Superlattices (SSL) and confirmed in ~\cite2. From this, an asymmetric graph of Γ^CNT on (V_d)/(V_s) and Ωτ were obtained where amplification (Γ_amp^CNT) >> absorption (Γ_abs^CNT). The ratio, \frac\vert Γ_amp^CNT\vert\vertΓ_abs^CNT\vert≈ 3.5, at V_d = 1.02V_s, ω_q = 3.0 THz and T = 85 K for scattering angle θ> 0 . A threshold field at which Γ_abs^CNT switches over to Γ_amp^CNT was calculated to be E_z^dc = 6.2× 10³ V/m. This field is far less than that deduced using Bloch-Type Oscillation (BTO)~\cite3 which is E_BTO^dc = 3.0× 10⁵ V/m. The obtained Γ_amp^CNT would enable the use of CNT for the production of SASER.

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