Interaction of External Acoustic Waves - Confined Electrons - Internal Phonons in a Cylindrical Quantum Wire with an Infinite Potential in the Presence of an External Magnetic Field

Interaction of external acoustic waves - confined electrons - internal phonons in a cylindrical quantum wire with an infinite potential (CQWIP) has been theoretically studied via the quantum kinetic equation for electrons in the presence of an external magnetic field (EMF). The quantum kinetic equation for the distribution function of electrons interacting with internal and external acoustic phonons is obtained from the Heisenberg equation of motion and the model of CQWIP. The density of acoustomagnetoelectric (AME) current and the analytical expressions for the AME field in the CQWIP in the presence of the EMF are obtained. The theoretical results are numerically evaluated for the specific CQWIP of GaAs/GaAsAl. It is shown that the AME field strongly depends on the system temperature in both cases of the strong magnetic field and the weak magnetic field. However, the graph showing the relationship between the AME field and the system temperature has the peaks in case of the strong magnetic field. The reason may be due to movement of the electrons between the mini-bands. The AME field obtained in this work are then compared with those of bulk semiconductors, superlattices, quantum wells (QW) and rectangular quantum wire (RQW).

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The Calculation of the Ettingshausen Coefficient in Quantum Wells under the Influence of Confined Phonons (for Electron – confined Optical Phonon Scattering)

VNU Journal of Science Mathematics - Physics ◽

10.25073/2588-1124/vnumap.4338 ◽

2019 ◽

Vol 35 (2) ◽

Author(s):

Nguyen Thi Lam Quynh ◽

Cao Thi Vi Ba ◽

Nguyen Quang Bau

Keyword(s):

Magnetic Field ◽

Kinetic Equation ◽

Quantum Well ◽

Quantum Wells ◽

Quantum Number ◽

Optical Phonon ◽

Phonon Scattering ◽

Resonance Condition ◽

Constant Electric Field ◽

Quantum Kinetic Equation

Abstract: In this paper, we have used the method of quantum kinetic equation to calculate the analytic expression for Ettingshausen coefficient (EC) under the influence of confined phonon. We considered a quantum well in the presence of constant electric field, magnetic field and electromagnetic wave (EMW) with assumption that electron – confined optical phonon (OP) scattering is essential. The EC obtained depends on many quantities in a complicated way such as temperature, magnetic field, frequency or amplitude of EMW and m - quantum number which specify confined OP. Numerical results for GaAs/GaAsAl quantum well (QW) have displayed clearly the differences in comparison with both cases of bulk semiconductor and unconfined phonon. The result of examining the EC’s dependence on magnetic field shows that quantum number m changes resonance condition; m not only makes the increase in the number of resonance peak but also changes the position of peaks. When m is set to zero, we get the results that corresponds to unconfined OP. Keywords: Quantum well, Ettingshausen effect, Quantum kinetic equation, confined optical phonons.

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Dynamics of nonlinear ion-acoustic waves in an external magnetic field

Lettere al Nuovo Cimento ◽

10.1007/bf02746756 ◽

1985 ◽

Vol 44 (8) ◽

pp. 537-543 ◽

Cited By ~ 7

Author(s):

E. Infeld ◽

P. Frycz ◽

T. Czerwiśka-Lenkowska

Keyword(s):

Magnetic Field ◽

External Magnetic Field ◽

Acoustic Waves ◽

Ion Acoustic Waves ◽

Ion Acoustic

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RESONANT RAMAN SCATTERING OF QUANTUM WIRE IN STRONG MAGNETIC FIELD

International Journal of Modern Physics B ◽

10.1142/s0217979299002381 ◽

1999 ◽

Vol 13 (17) ◽

pp. 2275-2283 ◽

Cited By ~ 2

Author(s):

HYUN C. LEE

Keyword(s):

Magnetic Field ◽

Raman Scattering ◽

Strong Magnetic Field ◽

Coulomb Interaction ◽

Quantum Wire ◽

Spin Excitation ◽

Momentum Dependence ◽

Near Resonance ◽

Resonant Raman ◽

Resonant Raman Scattering

The resonant Raman scattering of a quantum wire in a strong magnetic field is studied, focused on the effect of long range Coulomb interaction and the spin–charge separation. The energy–momentum dispersions of charge and spin excitation obtained from Raman cross-section show the characteristc cross-over behaviour induced by inter-edge Coulomb interaction. The "SPE" peak near resonance in polarized spectra becomes broad due to the momentum dependence of charge velocity. The broad peak in the depolarized spectra is shown to originate from the disparity between charge and spin excitation velocity.

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