Electron–LO-phonon scattering rates in a cylindrical quantum wire with an axial magnetic field: Analytic results

1993 ◽  
Vol 48 (15) ◽  
pp. 11128-11134 ◽  
Author(s):  
M. Masale ◽  
N. C. Constantinou
Author(s):  
Pham Ngoc Thang ◽  
Le Thai Hung ◽  
Do Tuan Long ◽  
Nguyen Quang Bau

The influence of confined optical phonons on the Hall Coefficient (HC) in a Cylindrycal Quantum Wire (CQW) with an infinite potential (for electron – confined optical phonons scattering). Consider a case where CQW is placed in a perpendicular magnetic field , a constant - electric field  and an intense electromagnetic wave . By using the quantum kinetic equation for electrons interacting with Confined Optical Phonon (COP), we obtain analytical expressions for (HC), which are different from in comparison to those obtained for the HC in the case of normal bulk semiconductor and in the case of cylindrycal quantum wire with electron – unconfined phonons scattering mechanism. Numerical calculations are also applied for AlGaAs/GaAs/AlGaAs cylindrycal quantum wire, we see the HC depends on magnetic field B, temperature T, frequency Ω and amplitude E0 of laser radiation and especially quantum index m1 and m2 characterizing the phonon confinement. This influence is due to the quantum index m1 and m2, which makes an increase of Hall coefficient by 2,3 times in comparition with the case of unconfined phonons. When the quantum number m1 and m2 goes to zero, the result is the same as in the case of unconfined phonons.


2003 ◽  
Vol 319 (3-4) ◽  
pp. 379-383 ◽  
Author(s):  
V.M. Borzdov ◽  
V.O. Galenchik ◽  
F.F. Komarov ◽  
D.V. Pozdnyakov ◽  
O.G. Zhevnyak

Author(s):  
Tran Hai Hung ◽  
Nguyen Quang Bau ◽  
Doan Minh Quang

This paper studies the influence of a strong electromagnetic wave (EMW) on the magneto-thermoelectric effects in a cylindrical quantum wire with an infinite potential (CQWIP) (for electron - optical phonon scattering) under the influence of electric field , magnetic field  and a strong EMW (laser radiation)  (where  and  are amplitude and frequency of EMW, respectively), based on the quantum kinetic equation for electrons. The study obtained the analytic expressions for the kinetic tensors  and the Ettingshausen coefficient (EC) in the CQWIP with the dependence on the frequency, the amplitude of EMW, the Quantum Wire (CQWIP) parameters, the magnetic field and the temperature.  The study results were numerically evaluated and graphed for GaAs/GaAsAl quantum wire. Then, the results in this case were compared with those in the case of the bulk semiconductors and other low-dimension systems in order to show the difference and the novelty of the current results. Moreover, it is realized that as the EMW frequency increases, the EC fluctuates with a stable trend, and the appearance of the Shubnikov-de Haas (SdH) oscillations pattern when the dependence of EC on the magnetic field is surveyed.


Author(s):  
Hoang Van Ngoc ◽  
Nguyen Quang Bau ◽  
Doan Minh Quang ◽  
Tran Hai Hung

Based on the quantum kinetic equation (QKE) for electron, we have theoretically studied the theory of photo-stimulated Ettingshausen effect in a one-dimensional cylindrical quantum wire (CQW). The strong electromagnetic wave (EMW) [Formula: see text] plays a role as photo-stimulation source. We obtain the analytic expressions for the kinetic tensors [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and the Ettingshausen coefficient (EC) in the CQW with the dependence on the amplitude and the energy of EMW, the CQW radius, the magnetic field and the temperature for two cases: optical phonon and acoustic phonon. The results are numerically evaluated and graphed for GaAs/AlGaAs CQW model. It is shown that we observe the cyclotron resonance and magneto-phonon resonance effect while surveying EC in terms of magnetic field (with and without EMW) and EMW energy, considered the electron-optical phonon scattering. In case of electron-acoustic phonon scattering, the oscillation of EC is obtained with the transition between low Landau levels (LLs). We also clarify the impact of quantum size effect (QSE) on EC by surveying the influence of EC on the radius of CQW.


1991 ◽  
Vol 70 (1) ◽  
pp. 319-327 ◽  
Author(s):  
K. W. Kim ◽  
M. A. Stroscio ◽  
A. Bhatt ◽  
R. Mickevicius ◽  
V. V. Mitin

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