Energy eigenvalue of a one dimensional asymmetric triangle potential well
Abstract
Various quantum wells have been studied as a theoretical model for the instructional of quantum physics in the early years of quantum mechanics. With the development of solid-state physics, such structures have found practical applications. Among these well models, asymmetric triangular quantum wells have started to take an important place today. Because in such wells, the asymmetry of the well can be controlled by the change in concentration in the compound. In this study, have examined the bound states and scattering states within the well by changing the parameters such as; barrier height and barrier width of the asymmetric quantum well. The scattering transfer matrix method is used as it provides convenience as a method. The results have founded differ for the asymmetric triangular quantum well compared to other symmetric quantum wells, and its practical applications are discussed.
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N. Killoran, S. F. Huelga, and M. B. Plenio, Enhancing light-harvesting power with coherent vibrational interactions: A quantum heat engine picture, The Journal of chemical physics, 143(15), 10B614_1, (2015).
E. Rosencher, P. Bois, J. Nagle, and S. Delaitre, Second harmonic generation by intersubband transitions in compositionally asymmetrical MQWs, Electronics Letters, 25(16), 1063-1065, (1989).
B. Chen, K. X. Guo, R. Z. Wang, Z. H. Zhang, and Z. L. Liu, Linear and nonlinear intersubband optical absorption in double triangular quantum wells, Solid-state communications, 149(7-8), 310-314, (2009).
K. X. Guo, and C. Y. Chen, Polaron effects on the optical second-harmonic generation in a quantum well within an electric field, Solid state communications, 99(5), 363-367, (1996).
D. Ahn, and S. L. Chuang, Calculation of linear and nonlinear intersubband optical absorptions in a quantum well model with an applied electric field, IEEE Journal of Quantum Electronics, 23(12), 2196-2204, (1987).
D. Ahn, and S. L. Chuang, Nonlinear intersubband optical absorption in a semiconductor quantum well, Journal of applied physics, 62(7), 3052-3055. (1987).
Y. B. Yu, S. N. Zhu, and K. X. Guo, Electron-phonon interaction effect on optical absorption in cylindrical quantum wires, Solid state communications, 139(2), 76-79, (2006).
E. M. Goldys, J. J. Shi, Linear and nonlinear intersubband optical absorption in a strained double barrier quantum well, Physica status solidi (b), 210(1), 237-248, (1998).
I. Karabulut, Ü. Atav, H. Şafak, and M. Tomak, Linear and nonlinear intersubband optical absorptions in an asymmetric rectangular quantum well, The European Physical Journal B, 55(3), 283-288, (2007).
L.Tsang, S. L. Chuang, and S. M. Lee, Second-order nonlinear optical susceptibility of a quantum well with an applied electric field, Physical Review B, 41(9), 5942, (1990).
P. Harrison, and Q. Wells, Wires and Dots: Theoretical and Computational Physics, Wiley, New York, (2000).
B. Pödör, Variational calculation for triangular quantum wells using modified trial wave function, Acta Physica Polonica- Series A General Physics, 88(5), 869-872, (1995).
N. Verma, M. Gupta, R. S. Gupta, and J. Jogi, Quantum modeling of nanoscale symmetric double-gate InAlAs/InGaAs/InP HEMT, JSTS Journal of Semiconductor Technology and Science, 13(4), 342-354, (2013).
A. Arda, Triangular quantum profiles: transmission probability and energy spectrum, Turkish Journal of Physics, 41(1), 72-80, (2017).
S. Kumar, and A. K. Pandey, The Scientific World Journal, Article ID, 162750, 16, (2013).
M. Batı, Non-Equilibrium Green Function Method Examination of Electronic Transport in Barrier Structure, Ph.D. Thesis, Dokuz Eylül University Institute of Science and Technology, Izmir, Turkey, (2016).
R. Tsu, and L. Esaki, Tunneling in a finite superlattice, Applied Physics Letters, 22(11), 562-564, (1973).
G. Z. Jiang, and C. Z. Wen, Donors and excitons in triangular GaAs-Ga1−xAlxAs quantum wells, Physical Review B, 50(4), 2689, (1994).
P. Zhang, C. Liu, M. Xiang, X. Ma, G. Zhao, Q. Lu, and W. Guo, 850 nm GaAs/AlGaAs DFB lasers with shallow surface gratings and oxide aperture. Optics express, 27(22), 31225-34, (2019).
Y. S. Huang, H. Qiang, F. H. Pollak, G. D. Pettit, P. D. Kirchner, J. M. Woodall, ... and L. B. Sorensen, Temperature dependence of the photoreflectance of a strained layer (001) In0. 21Ga0. 79As/GaAs single quantum well. Journal of applied physics, 70(12), 7537-7542, (1991).
URN: https://sloi.org/urn:sl:tjoee52154
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