Nonlinear multi-photon Absorption of Strong electromagnetic wave with electron-acoustic phonon scattering in infinite semi-parabolic Plus semi- inverse Squared Quantum Wells

Nguyen Thu Huong, Bui Thi Dung, Nguyen Cong Huy, Nguyen Quang Son, Nguyen Quang Bau
Author affiliations

Authors

  • Nguyen Thu Huong Academy of Air Defence and Air Force, Kim Son, Son Tay, Ha Noi, Vietnam
  • Bui Thi Dung Department of Theoretical Physics, Faculty of Physics, VNU University of Science, Vietnam National University, Hanoi, Vietnam
  • Nguyen Cong Huy Department of Theoretical Physics, Faculty of Physics, VNU University of Science, Vietnam National University, Ha Noi- 334 Nguyen Trai, Thanh Xuan, Ha Noi, Vietnam
  • Nguyen Quang Son Academy of Air Defence and Air Force, Kim Son, Son Tay, Ha Noi, Vietnam
  • Nguyen Quang Bau Department of Theoretical Physics, Faculty of Physics, VNU University of Science, Vietnam National University, Ha Noi- 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam https://orcid.org/0000-0001-9414-2568

DOI:

https://doi.org/10.15625/0868-3166/21541

Abstract

Theoretical study on the nonlinear absorption of a strong electromagnetic waves in infinite semi-parabolic plus semi-inverse Squared Quantum Wells (ISPPSISQW) by using quantum kinetic equations for electron in the case of electron-acoustic phonon scattering. Analytical expressions for the nonlinear multi-photon absorption coefficient in the ISPPSISQW are obtained for a specific GaAs/GaAsAl in the case off the absence and the case of the presence of an external magnetic field B. A second- order multi-photon process is included in the result. The dependence of the nonlinear multi-photon absorption coefficient on the intensity $(E_0)$ and the frequency $(\Omega)$ of a strong electromagnetic wave, confinement frequency of ISPPSISQW $(\Omega)$ and the temperature investigated. The numerical computations for a specific ISPPSISQW GaAs/GaAsAl show that the nonlinear multi-photon absorption coefficient decreases rapidly with increasing $\omega_z$ or $\Omega$ and the nonlinear multi-photon absorption coefficient increases rapidly $E_0$ or T. In the case of the presence of an external magnetic field B, numerical calculations indicate the occurrence of magneto-photon-phonon resonances when the resonance conditions are met. As the photon energy changes, the resonance peaks tend to increase with the increase in photon energy.

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References

V. L. Malevich and E. M. Epshteın, “Nonlinear optical properties of conduction electrons in semiconductors”, Soviet journal of quantum electronics, vol. 4, no. 6, pp. 816–817, Jun. 1974.

G. M. Shmelev, I. A. Tchaikovsky, V. V. Pavlovich, and E. M. Epshteın, “Electron–Phonon interaction in a superlattice”, Physica status solidi. B, Basic research, vol. 80, no. 2, pp. 697–701, Apr. 1977.

E. M. Epshteın, I. Maglevanny, and G. M. Shmelev, “Electricfield-induced magnetoresistance of lateral superlattices”, Journal of Physics. Condensed Matter, vol. 8, no. 25, pp. 4509–4514, Jun. 1996.

G. M. Shmelev and I. Maglevanny, “Electric-field-induced ferroelectricity of electron gas”, Journal of physics. Condensed Matter, Vol. 10, no.31, pp. 6995–7002, Aug.1998.

C. T. V. Ba, N. Q. Bau, N. D. Nam, T. A. Tuan, and N. T. Huong ‘’ Influence of Magnetic field and Temperature on Half width at halth maximum of multiphoton absorption spectrum in Two-dimensional graphene”, Journal of the Physical Society of Japan, vol. 93, pp.044604-1-044604-9, March 2024.

C. T. V. Ba, N. Q. Bau, T. A. Tuan, and T. T. Dien, “Theoretical study of nonlinear absorption of a strong electromagnetic wave in infinite semi-parabolic Plus Semi-inverse Squared Quantum Wells by using quantum kinetic equation”, Physics B: Condensed matter, vol. 673, pp..415497-1-415497-9, Jan. 2024.

H. Hassanabadi, G. Liu, and L. Lu, “Nonlinear optical rectification and the second-harmonic generation in semi-parabolic and semi-inverse squared quantum wells”, Solid state communications, vol. 152, no. 18, pp. 1761–1766, Sep. 2012.

W. Zhai, H. Hassanabadi, L. Lu, and G. Liu, “A theoretical study of third-harmonic generation in semi-parabolic plus semi-inverse squared quantum wells”, Optics communications, vol. 319, pp. 95–99, May 2014.

B. Q. Nguyen, D. H. Manh, and N. B. Nguyen, “The nonlinear absorption coefficient of a strong electromagnetic wave caused by confined electrons in quantum wells”, Journal of the Korean Physical Society, vol. 54, no. 2, pp. 765–773, Feb. 2009.

T.A. Tuan, N.Q. Bau, N.D. Nam, C.T.V. Ba, N.T.T. Nhan, “Two-dimensional graphene: Theoretical study of multi-photon non-linear absorption coefficient of a strong electromagnetic wave by using quantum kinetic equation”, Journal of the Physical Society of Japan., vol. 92 , pp.064401-1-064401-9 , May 2023

N. Q. Bau, L. T. Hung, and N. D. Nam, “The nonlinear absorption coefficient of a strong electromagnetic wave by confined electrons in quantum wells under the influences of confined phonons”, Journal of electromagnetic waves and applications, vol. 24, no. 13, pp. 1751–1761, Jan. 2010.

V.V. Pavlovich, E.M. Epshtein, “Quantum theory of absorption of electromagnetic wave by free carriers in semiconductors”, Sov.Phys. Stat. 19 (1997) 1760.

N. Q. Bau and T. C. Phong, “Calculations of the absorption coefficient of a weak electromagnetic wave by free carriers in quantum wells by the Kubo-Mori method”, Journal of the Physical Society of Japan, vol. 67, no. 11, pp. 3875–3880, Nov. 1998.

J. Y. Ryu, S. N. Yi, and S. D. Choi, “Cyclotron transition linewidths due to electron-phonon interaction via piezoelectric scattering”, Journal of physics, condensed matter, vol. 2, no. 15, pp. 3515–3527, Apr. 1990.

S. Jo, N. Kang, Y. Cho, S. Choi, and J. Ryu, “Modeling of the Cyclotron transition Theory for Quasi-Two-Dimensional electron systems by the Isolation-Projection Technique”, J. Korean. Phys, vol. 30, no. 1, pp. 103–110, 1997.

M. P. Chaubey and C. M. Van Vliet, “Transverse magnetoconductivity of quasi-two-dimensional semiconductor layers in the presence of phonon scattering”, Physical review. B, Condensed matter, vol. 33, no. 8, pp. 5617–5622, Apr. 1986.

P. Vasilopoulos, “Magnetophonon oscillations in quasi-twodimensional quantum wells”, Physical review. B, Condensed matter, vol. 33, no. 12, pp. 8587–8594, Jun. 1986.

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Published

29-05-2025

How to Cite

[1]
T. H. Nguyen, D. Bui Thi, Nguyen Cong Huy, Nguyen Quang Son, and Q. B. Nguyen, “Nonlinear multi-photon Absorption of Strong electromagnetic wave with electron-acoustic phonon scattering in infinite semi-parabolic Plus semi- inverse Squared Quantum Wells”, Comm. Phys., vol. 35, no. 2, p. 163, May 2025.

Issue

Vol. 35 No. 2 (2025)

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Papers

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