One-dimensional cylindrical quantum wire: The theoretical study of photo-stimulated Ettingshausen effect

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.

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The Ettingshausen effect in doped semiconductor superlattice under the influence of confined optical phonon

VNU Journal of Science Mathematics - Physics ◽

10.25073/2588-1124/vnumap.4449 ◽

2020 ◽

Vol 36 (3) ◽

Author(s):

Nguyen Thi Lam Quynh ◽

Cao Thi Vi Ba ◽

Nguyen Quang Bau

Keyword(s):

Magnetic Field ◽

Laser Radiation ◽

Quantum Number ◽

Optical Phonon ◽

Phonon Scattering ◽

Resonance Condition ◽

Numerical Results ◽

Phonon Confinement ◽

Semiconductor Superlattice ◽

Ettingshausen Effect

The electron – optical phonon scattering is considered in detail to studying the Ettingshausen effect in doped semiconductor superlattice under the influence of phonon confinement and laser radiation. The analytical expressions for tensors and the Ettingshausen coefficient are obtained by using the kinetic equation method. The Ettingshausen coefficient depends on temperature of the sample, amplitude and frequency of laser radiation, magnetic field and the quantum number m specific for the confinement of phonon. The dependences are clearly displayed in the numerical results for GaAs:Be/GaAs:Si doped semiconductor superlattice. The magnetic field makes the Ettingshausen coefficient change in quantitative under the influence of temperature or laser amplitude and change the resonance condition. The numerical results show that both resonance condition and resonance peaks position are affected by the increase of quantum number m. We also get the result corresponding to the unconfined optical phonon case when m is set to zero. Due to the change of the wave function and energy spectrum of electrons, most of results for the Ettingshausen effect in doped semiconductor superlattice obtained are different from the case of bulk semiconductor. Moreover, in comparison with the case of unconfined optical phonon, under the influence of phonon confinement effect, the Ettingshausen coefficient changes in magnitude, the number and position of resonance peaks.

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Quenching of electron‐acoustic phonon scattering in quantum wires by a magnetic field

Applied Physics Letters ◽

10.1063/1.109115 ◽

1993 ◽

Vol 62 (24) ◽

pp. 3161-3163 ◽

Cited By ~ 18

Author(s):

N. Telang ◽

S. Bandyopadhyay

Keyword(s):

Magnetic Field ◽

Acoustic Phonon ◽

Phonon Scattering ◽

Quantum Wires ◽

Electron Acoustic

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Influence of Confined Phonons on the Hall Coefficient in a Cylindrycal Quantum wire with an infinite potential (for electron – confined optical phonon scattering)

VNU Journal of Science Mathematics - Physics ◽

10.25073/2588-1124/vnumap.4333 ◽

2019 ◽

Vol 35 (3) ◽

Author(s):

Pham Ngoc Thang ◽

Le Thai Hung ◽

Do Tuan Long ◽

Nguyen Quang Bau

Keyword(s):

Magnetic Field ◽

Hall Coefficient ◽

Optical Phonon ◽

Quantum Wire ◽

Phonon Scattering ◽

Constant Electric Field ◽

Optical Phonons ◽

Phonon Confinement ◽

Optical Phonon Scattering ◽

Analytical Expressions

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.

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Conductivity Tensor in Cylindrical Quantum Wire with Parabolic Potential for the Case of Electron-Acoustic Phonon Scattering

Materials Science Forum ◽

10.4028/www.scientific.net/msf.1048.205 ◽

2022 ◽

Vol 1048 ◽

pp. 205-211

Author(s):

Hoang Van Ngoc

Keyword(s):

External Field ◽

Quantum Wire ◽

Acoustic Phonon ◽

Phonon Scattering ◽

Quantum Wires ◽

Kinetic Equations ◽

Conductivity Tensor ◽

Field Frequency ◽

Parabolic Potential ◽

Electron Acoustic

Conductivity tensor is an important concept in materials, this work studies conductivity tensors in cylindrical quantum wires with parabolic potential in the presence of two external fields, a linearly polarized electromagnetic wave, and a laser field. This work is also only considered for the case of electron-acoustic phonon scattering. Research results are obtained by using quantum kinetic equations for the carrier system in a quantum wire. The conductivity tensor is calculated by solving the quantum kinetic equation of the system, which is a function of the external field frequency, the external field amplitude, the temperature of the helium, and parameters specific to the quantum wire. Results will also be examined and plotted for quantum wire GaAs / GaAsAl.

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Magneto-thermoelectric Effects in Cylindrical Quantum Wire under the Influence of Electromagnetic Wave for Electron-optical Phonon Scattering

VNU Journal of Science Mathematics - Physics ◽

10.25073/2588-1124/vnumap.4400 ◽

2019 ◽

Vol 35 (4) ◽

Author(s):

Tran Hai Hung ◽

Nguyen Quang Bau ◽

Doan Minh Quang

Keyword(s):

Magnetic Field ◽

Electromagnetic Wave ◽

Optical Phonon ◽

Quantum Wire ◽

Phonon Scattering ◽

Thermoelectric Effects ◽

Optical Phonon Scattering ◽

Study Results ◽

The Difference ◽

The Magnetic Field

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.

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Low electron-polar optical phonon scattering as a fundamental aspect of carrier mobility in methylammonium lead halide CH3NH3PbI3 perovskites

Physical Chemistry Chemical Physics ◽

10.1039/c6cp01402j ◽

2016 ◽

Vol 18 (22) ◽

pp. 15352-15362 ◽

Cited By ~ 53

Author(s):

A. Filippetti ◽

A. Mattoni ◽

C. Caddeo ◽

M. I. Saba ◽

P. Delugas

Keyword(s):

Optical Phonon ◽

Acoustic Phonon ◽

Carrier Mobility ◽

Phonon Scattering ◽

Fundamental Aspect ◽

Polar Optical Phonon ◽

Optical Phonon Scattering ◽

Electron Acoustic ◽

Lead Halide ◽

Two Temperature

Calculated mobility of CH3NH3PbI3 in two temperature regions, characterized by the dominance of electron-acoustic phonon scattering (left) and electron-polar optical phonon scattering (right).

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Polar Optical Phonon Instability and Intervalley Transfer in Gallium Nitride

MRS Proceedings ◽

10.1557/proc-512-549 ◽

1998 ◽

Vol 512 ◽

Cited By ~ 2

Author(s):

B. E. Foutz ◽

S. K. O'leary ◽

M. S. Shur ◽

L. F. Eastman ◽

B. L. Gelmont ◽

...

Keyword(s):

Gallium Nitride ◽

Analytical Model ◽

Optical Phonon ◽

Room Temperature ◽

Phonon Scattering ◽

Polar Optical Phonon ◽

Scattering Mechanism ◽

Loss Mechanism ◽

One Dimensional ◽

Optical Phonon Scattering

ABSTRACTWe develop a simple, one-dimensional, analytical model, which describes electron transport in gallium nitride. We focus on the polar optical phonon scattering mechanism, as this is the dominant energy loss mechanism at room temperature. Equating the power gained from the field with that lost through scattering, we demonstrate that beyond a critical electric field, 114 kV/cm at T = 300 K, the power gained from the field exceeds that lost due to polar optical phonon scattering. This polar optical phonon instability leads to a dramatic increase in the electron energy, this being responsible for the onset of intervalley transitions. The predictions of our analytical model are compared with those of Monte Carlo simulations, and are found to be in satisfactory agreement.

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