Theoretical Investigation of the Shubnikov-de Haas Magnetoresistance Oscillations in a Quantum well under the Influence of Confined Acoustic Phonons

Abstract:

The Shubnikov – de Haas magnetoresistance oscillations in the Quantum well (QW) under the influence of confined acoustic phonons, The theoretical results show that the conductivity tensor, the complex magnetic impedance of the magnetic field, the frequency, the amplitude of the laser radiation, the QW width, the temperature of the system and especially the quantum index m characterizes the confinement of the phonon. The amplitude of the oscillations of the Shubnikov-de Haas impedance decreases with the increase of the influence of the confined acoustic phonons. The results for bulk phonons in a QW could be achieved, when m goes to zero. We has been compared with other studies when perform the numerical calculations are also achieved for the GaAs/AlGaAs in the QW. Results show that The Shubnikov-de Haas magnetoresistance oscillations amplitude decrease when phonon confinement effect increasing and when width L of the QW increases to a certain value, The Shubnikov – de Haas magnetoresistance oscillations amplitude completely disappears can not be observed.

• Periodical: Key Engineering Materials (Volume 783)
• Pages: 1-11
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.783.1
• Online since: October 2018
• Authors: Le Thai Hung*, Pham Ngoc Thang, Nguyen Quang Bau
• Keywords: Confined Acoustic Phonons, Laser Radiation, Quantum Kinetic Equation, Quantum Well, Shubnikov-de Haas Magnetoresistance Oscillations, Width L of Quantum well

References

[1] E. M. Epshtein, G. M. Smelev and G. I. Tsurkan. Photostimulated Progresses in Semiconductors. Izd. Shtiinza, Kishinev 1987 (in Russian).

[2] N. Q. Bau, B. D. Hoi, Investigation of the Hall Effect in Rectangular Quantum Wells with a Perpendicular Magnetic Field in the Presence of a High – frequency Electromagnetic Wave, Int. J. Mod. Phys. B, 28 (2014) 145001, 1-14.

DOI: 10.1142/s0217979214500015

[3] N. Q. Bau, D. T. Long, Influence of confined optical phonons and laser radiation on the Hall effect in a compositional superlattice, Phys. B 512 (2018) 149-154.

DOI: 10.1016/j.physb.2017.09.127

[4] Y. Shimura, M. Tsujimoto, A. Sakai, B. Zeng, L. Balicas, S. Nakatsuji, Shubnikov-de Haas Oscillation in the cubic Γ3-based heavy fermion superconductor PrV2Al20, J. Phys.: Conf. Seri. 592 (2015) 012026-1-012026-4.

DOI: 10.1088/1742-6596/592/1/012026

[5] F. X. Xiang, M. Veldhorst, S. X. Dou and X. L. Wang, Multiple Fermi pockets revealed by Shubnikov-de Haas oscillations in WTe2, Europhys. Lett.: Lett. J. Expl. Front. Phys. 112(3) (2015) 37009-1-37009-5.

DOI: 10.1209/0295-5075/112/37009

[6] N. Matsumoto, M. Mineharu, M. Matsunaga et al., Shubnikov–de Haas measurements on a high mobility monolayer graphene flake sandwiched between boron nitride sheets, J. Phys.: Cond. Matt. 29(22) (2017) 225301.

DOI: 10.1088/1361-648x/aa6d36

[7] R. F. Pires, P. Pureur, M. Behar, J. L. Pimentel Jr., J. Schaf, Magnetism, magnetoresistance, and Shubnikov-de Haas oscillations in Na-implanted highly oriented pyrolitic graphite, J. Appl. Phys. 111 (2012) 093922-093927.

DOI: 10.1063/1.4709731

[8] O. Pavlosiuk, D. Kaczorowski, P. Wiśniewski, Shubnikovde Haas oscillations, weak antilocalization effect and large linear magnetoresistance in the putative topological superconductor LuPdBi, Scientific Rep. 5, 9158 (2015) 9518-1-9518-9.

DOI: 10.1038/srep09158

[9] F. B. Mancoff, L. J. Zielinski, and C. M. Marcus, Shubnikov–de Haas oscillations in a two-dimensional electron gas in a spatially random magnetic field, Phys. Rev. B, 53(12) (1996) 7599-7602.

DOI: 10.1103/physrevb.53.r7599

[10] R. R. Gerhardts, Magnetoresistance oscillations of two-dimensional electron systems in lateral superlattices with structured unit cells Physica E: Low-dimensional Systems and Nanostructures (2015), p.160–167.

DOI: 10.1016/j.physe.2015.06.027

[11] V. M. Gvozdikov, Magnetoresistance oscillations in a periodically modulated two-dimensional electron gas: The magnetic-breakdown approach, Phys. Rev. B 75 (2007) 115106.

DOI: 10.1103/physrevb.75.115106

[12] N. Q. Bau, N. V. Hieu and N. V. Nhan, The quantum acoustomagnetoelectric field in a quantum well with a parabolic potential, Superlatt. Microstruct. 52 (2012) 921-930.

DOI: 10.1016/j.spmi.2012.07.023

[13] S. Izawa, S. Katsumoto, A. Endo, and Y. Iye, Magnetoresistance Oscillation in Two-Dimensional Electron Gas under Spatially Modulated Vector Potential, Phys. Soc. Japan, (1995).

DOI: 10.1143/jpsj.64.706

[14] E. H. Hwang and S. Das Sarma, Hall coefficient and magnetoresistance of two-dimensional spin-polarized electron systems, Phys. Rev. B, 73 (2006) 121309(R).

DOI: 10.1103/physrevb.73.121309