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Hall Coefficient in the Presence of Strong Electromagnetic Waves Caused by Confined Electrons and Phonons in a Rectangular Quantum Wire
Abstract:The analytic expression for the Hall Coefficient (HC) caused by the confined electrons in the presence of a strong electromagnetic wave (EMW) including the effect of phonon confinement in rectangular quantum wires (RQWs) is calculated by using the quantum kinetic equation for electrons in the case of electron - optical phonon scattering. It is because the expression of the HC for the confined phonon case contains indexes m, m’ which are specific to the phonon confinement. The expression in a RQW is different from that for the case of unconfined phonons in a RQW or in 2D. The results are numerically calculated and discussed for a GaAs/GaAsAl RQW. The numerical results show that HC in a RQW can have both negative and positive values. This is different from the case of the absence of EMW and the case presence of EMW including the effect of phonon unconfinement in a RQW. These results are also compared with those in the case of unconfined phonons in a RQW and confined phonons in a quantum well. The conductivity in the case of confined phonon has more resonance peaks compared with that in case of unconfined phonons in a RQW. This new property is the same in quantum well. All results are compared with the case of unconfined phonons to see differences.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1339560Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 631
 Alexander Balandin and Kang L. Wang, “Effect of phonon confinement on the thermoelectric figure of merit of quantum wells”, J. Appl. Phys, vol. 84, pp. 6149-6153, 1998.
 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”, JEMWA, J. of Electromagnetic Waves and Appl. Vol. 24, pp. 1751-1761, 2010.
 N. Q. Bau, D. M. Hung, and L. T. Hung, “The influences of confined phonons on the nonlinear absorption coefficient of a strong electromagnetic wave by confined electrons in doping superlattices”, PIER Letter 15, pp. 175-185, 2010.
 Bennett R., Guven K., and Tanatar B, “Confined-phonon effects in the band-gap renormalization of semiconductor quantum wires”, Phys. Rev. B 57, pp. 3994-3999, 1998.
 Osswald S. et al, “Phonon confinement effects in the Raman spectrum of nanodiamond”, Phys. Rev. B 80, pp. 75419-75427, 2009.
 Komirenko S. M., Kim K. W., Kochelap V. A., Stroscio M. A, “Confinement and amplification of terahertz acoustic phonons in cubic heterostructures” Physica B 316, pp. 356-358, 2002.
 Li W. S., Shi-Wei Gu, Au-Yeung T. C., and Y. Y. Yeung, “Effects of the parabolic potential and confined phonons on the polaron in a quantum wire”, Phys. Rev. B 46, pp. 4630-4637, 1992.
 Borisenko S. I, “The effect of acoustic phonon confinement on electron scattering in GaAs/AlxGa1-xAs superlattices” Semiconductors, vol. 38, pp. 824-829, 2004.
 Stroscio M. A, “Interaction between longitudinal-optical-phonon modes of a rectangular quantum wire and charge carriers of a one-dimensional electron gas”, Phys. Rev. B 40, pp. 6428-6431, 1989.
 H.C. Tso, P. Vasilopoulos, “Magnetotransport along a quantum wire” Int. J. Mod. Phys. B, vol. 44, 7 pages, 1991.
 Yinlong Sun and George Kirczenow, “Density – functional theory of the electronic structure of Coulomb- confined quantum wires” Int. J. Mod. Phys. B, vol. 47, 1993.
 H. Akera, T. Ando, “Theory of the Hall Effect in quantum wires: Effects of scattering” Int. J. Mod. Phys. B, vol. 41, 1990.
 Hiroshi Akera, Tsuneya Ando, “Hall effect in quantum wires”, Int. J. Mod. Phys. B, vol. 39, 1989.
 N. T. Huong, N. Q. Bau, “The Hall Coefficient and Magnetoresistance in rectangular Quantum wires with infinitely high potential under the influence of a laser radiation”, International Scholarly and Scientific Research and Innovation, vol. 10(3), 2016.