Theory of Electron Transport in Two-Barrier Five-Layer Semiconductor Structures
Abstract
The dependence of the transparency coefficient of a five-layer two-barrier structure on the electron energy and the ratio of the widths of two neighboring potential barriers is calculated. It is shown that the extremum of the transparency coefficient significantly depends on the geometric dimensions of the structure layers. In a symmetric five-layer two-barrier semiconductor structure, the condition for the occurrence of "resonant" electron transitions is defined. It is demonstrated that the mechanism of such (resonant) transitions is explained by the interference of de Broglie waves of electrons in the potential well, where the phases of de Broglie waves are determined by the geometric dimensions of the structure, and their amplitudes - by the ratio of the carrier energy to the height of the potential barrier. It has been established that with an increase in the effective mass of charge carriers, the number of intersections of the quantities fR (ξ) and ((1-2ξ))/(√(ξ-ξ2) increases. These intersections determine the dimensionally-quantized levels where electrons are localized.
Downloads
References
E.L. Ivchenko, and G.E. Pikus, Superlattices and other heterostructures. Symmetry and optical phenomena. (Springer, Berlin, 1995).
E.L. Ivchenko, Optical spectroscopy of semiconductor nanostructures. (Alpha Science, Harrow (UK), 2005), pp. 350. ISBN: 1-84265-150-1.
V.E. Borisenko, and A.I. Vorobieva, Nanoelectronics. Part 2. Tutorial. (BSUIR, Minsk, 2003). (in Russian)
A.Ya. Shik, L.G. Bakueva, S.F. Musikhin, and S.A. Rykov, Physics of low-dimensional systems, edited by A.I. Shik, (Nauka, SPb., 2001). (in Russian)
V. Timofeev, “Electron correlation phenomena in semiconductor low-dimension structures and nanostructures,” UFN, 174, 1109 (2004). https://doi.org/10.3367/UFNr.0174.200410f.1109. (in Russian)
J.N. Davies, The Physics of low-dimensional semiconductors, (Cambridge University, 1998).
V.F. Elesin, and I.Y. Kateev, “High-frequency properties of double-well nanostructures,” Semiconductors, 42(5), 571–575 (2008). https://doi.org/10.1134/S106378260805014X
V.F. Elesin, “Resonant tunneling of interacting electrons in an alternating electric field,” JETP, 144(11), 1086-1098 (2013). https://doi.org/10.7868/S0044451013110199
V.F. Elesin, “Transient processes in double-barrier nanostructures,” JETP, 145(6), 1078-1086 (2014). https://doi.org/10.7868/S004445101406
L.D. Landau, and E.M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, 3rd ed. (Butterworth-Heinemann, 2004).
G. Bastard, “Theoretical investigations of superlattice band structure in the envelope-function approximation,” Physical Review B, 25(12), 7584-7594 (1982). https://doi.org/10.1103/PhysRevB.25.7584
R. Ferreira, and G. Bastard, “Unbound states in quantum heterostructures,” Nanoscale Research Letters, 1, 120-136 (2006). https://doi.org/10.1007/s11671-006-9000-1
L.E. Golub, E.L. Ivchenko, and R.Ya. Rasulov, “Intersubband absorption of light in the quantum well of a semiconductor with a complex band structure,” FTP, 29(6), 1093-1100 (1995). (in Russian)
R.Ya. Rasulov, V.R. Rasulov, I.M. Eshboltayev, M. Kuchkarov, and K.K. Urinova, “To the theory of dimensional quantization in crystals in the Kane approximation,” Journal of Physics: Conference Series, 2697(1), 012003 (2024). https://doi.org/10.1088/1742-6596/2697/1/012003
R.Ya. Rasulov, V.R. Rasulov, B.B. Akhmedov, I.A. Muminov, and K.K. Urinova, “Dimensional quantization in InSb and GaAs in three-zone model,” Journal of Physics: Conference Series, 2697(1), 012005 (2024). https://doi.org/10.1088/1742-6596/2697/1/012005
V.R. Rasulov, “To the theory of electron passage in a semiconductor structure consisting of alternating asymmetric rectangular potential wells and barriers,” Russian Physics Journal, 59(10), 1699-1702 (2017). https://doi.org/10.1007/s11182-017-0963-4
R.Ya. Rasulov, V.R. Rasulov, I.M. Eshboltayev, M. Kuchkarov, and K.K. Urinova, “To the theory of dimensional quantization in crystals in the Kane approximation,” Journal of Physics: Conference Series, 2697(1), 012003 (2024). https://doi.org/10.1088/1742-6596/2697/1/012003
V.R. Rasulov, R.Y. Rasulov, M.A. Mamatova, and F. Qosimov, “Semiclassical theory of electronic states in multilayer semiconductors. Part 2,” Journal of Physics: Conference Series, 2388(1), 012158 (2022). https://doi.org/10.1088/1742-6596/2388/1/012158
Rasulov, R. Y., Rasulov, V. R., Urinova, K. K., Mamatova, M. A., & Akhmedov, B. B. (2024). Single and Multiphoton Optical Transitions in Atomically Thin Layers of Transition Metal Dichalcogenides. East European Journal of Physics, (1), 393-397. https://doi.org/10.26565/2312-4334-2024-1-40
S.B. Utamuradova, R.Y. Rasulov, V.R. Rasulov, K.K. Urinova, and K.M. Fayzullaev, “To the Theory of Dimensional Quantization in Narrow-Gap Crystals,” East European Journal of Physics, (4), 307-310(2023). https://doi.org/10.26565/2312-4334-2023-4-40
Copyright (c) 2024 Rustam Y. Rasulov, Voxob R. Rasulov, Makhliyo A. Mamatova, Mardonbek X. Nasirov, Umida M. Isomaddinova
![Creative Commons License](http://i.creativecommons.org/l/by/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).