Electronic Spectrum of Complex One-Dimensional Superlattices (based on semiconductor heterostructures in the Al/Ga/As system)
Dragunov I.E.
1, Pilipenko E.A.
1, Semeniuk J. A.
1, Lyubchanskii I.L.
1,21Donetsk Institute for Physics and Engineering named after A.A. Galkin, Donetsk, Russia
2Donetsk State University, Donetsk, DPR, Russia
Email: i_dragun60@mail.ru, pilipenko.katerina@mail.ru, julisemenuk@yandex.ru, igorl@donfti.ru
A one-dimensional superlattice with a complex unit cell consisting of two potential wells and two barriers with different widths and heights is studied within the Kronig-Penney model. A dispersion equation for such a structure is obtained. A numerical analysis of this equation is carried out and the behavior of the electron spectrum of the superlattice GaAs/Al0.5Ga0.5As/GaAs/AlxGa1-xAs is investigated depending on the ratio of the wells and barriers widths, as well as barriers heights Keywords: superlattice, Kronig-Penney model, potential well, potential barrier, band structure.
- A.P. Silin. UFN, 147, 485 (1985) (in Russian). DOI: 10.3367/UFNr.0147.198511c.0485
- F.G. Bass, A.P. Tetervov. Phys. Repts., 140, 237 (1986). DOI: 10.1016/0370-1573(86)90083-9
- F.G. Bass, A.A. Bulgakov, A.P. Tetervov. Vysokochastotnye svoistva poluprovodnikov so sverkhreshetkami (High-frequency properties of semiconductors with superlattices) (Nauka, M., 1989) (in Russian)
- M.A. Herman. Semiconductor superlattices (Akad.-Verl.,Berlin, 1986)
- D.L. Smith, C. Maihiot. Rev. Mod. Phys., 62, 173 (1990). DOI: 10.1103/RevModPhys.62.173
- H.C. Casey, Jr, M.B. Panish. Heterostructure lasers (Academic Press, New York 1978)
- E.L. Ivchenko, G.E. Pikus. Superlattices and Other Heterostructures: Symmetry and Optical Phenomena. 2-nd Edition (Springer, Berlin, 1997)
- A. Yariv, P. Yeh. Photonics: Optical Electronics in Modern Communications (Oxford University Press. NY. and Oxford, 2007)
- A. Wacker. Phys. Repts. 357, 1 (2002). DOI: 10.1016/S0370-1573(01)00029-1
- R. Tsu. Superlattice to Nanoelectronics 2-nd Ed. (Elsevier, Amsterdam, 2011)
- S. Roy, C.K. Ghosh, S. Dey, A.K. Pal. Solid State and Microelectronics Technology (Bentham Books, Singapore, 2023)
- G. Bastard. Wave Mechanics Applied to Semiconductor Heterostructures (Les Editions de Physique, Les Ulis Cedex, France, 1988)
- J.H. Davies. The physics of low-dimensional semiconductors. An introduction (Cambridge University Press 1998)
- V.V. Mitin, V.K. Kochelap, M.A. Stroscio. Quantum Heterostructures: Microelectronics and Optoelectronics (Cambridge University Press, 1999)
- E.L. Ivchenko. Optical Spectroscopy of Semiconductor Nanostructures (Alpha Science, Harrow, 2005)
- R. de L. Kronig, W.G. Penney. Proc. R. Soc. London, Ser. A., 130, 499 (1931). DOI: 10.1098/rspa.1931.0019
- V.L. Bonch-Bruevich, S.G. Kalashnikov, Fizika poluprovodnikov (Physics of Semiconductors) (Nauka, M., 1990) (in Russian)
- N.W. Ashcroft, N.D. Mermin, Solid State Physics (Saunders College Publishing, Orlando, 1976)
- T.B. Smith, A. Principi. J. Phys.: Condens. Matter, 32, 055502 (2020). DOI: 10.1088/1361-648X/ab4d67
- I. Guarneri. J. Phys. A: Math. Theor., 55, 424008 (2022). DOI: 10.1088/1751-8121/ac9356
- U. Smilansky. J. Phys. A: Math. Theor., 55, 424007 (2022). DOI: 10.1088/1751-8121/ac9357
- T. Li, H. Chen, K. Wang, Yi. Hao, L. Zhang, K. Watanabe, T. Taniguchi, X. Hong. Phys. Rev. Lett., 132, 056204 (2024). DOI: 10.1103/PhysRevLett.132.056204
- L. Esaki, L.L. Chang, E.E. Mendez. Jpn. J. Appl. Phys., 20, L529 (1981). DOI: 10.1143/JJAP.20.L529
- D.W.L. Sprung, L.W.A. Vanderspek, W. Van Dijk, J. Martorell, C. Pacher. Phys. Rev. B, 77, 035333 (2008). DOI: 10.1103/PhysRevB.77.035333
- J.J. Alvarado-Goytia, R. Rodri guez-Gonzalez, J.C. Marti nez-Orozco, I. Rodri guez-Vargas. Scientific Reports, 12, 832 (2022). DOI: 10.1038/s41598-021-04690-x
- M. Coquelin, C. Pacher, M. Kast, G. Strasser, E. Gornik. Phys. Stat. Sol. (b), 243, 3692 (2006). DOI: 10.1002/pssb.200642246
- J.P. Ruz-Cuen, J.C. Gutierrez-Vega. J. Opt. Soc. Am. B., 38, 2742 (2021). DOI: 10.1364/JOSAB.424431
- B. Djafari-Rouhani, L. Dobrzynski. Sol. St. Comms., 62, 609 (1987). DOI: 10.1016/0038-1098(87)90200-6
- E.H. El Boudouti, B. Djafari-Rohani, A. Akjoju, L. Dobrzynski, R. Kucharczyk, M. Steslicka. Phys. Rev. B, 56, 9603 (1997). DOI: 10.1103/PhysRevB.56.9603
- W.J. Hsueh, J.C. Lin, H.C. Chen. J. Phys.: Condens. Matter, 19, 266007 (2007). DOI: 10.1088/0953-8984/19/26/266007
- M. Steslicka, R. Kucharczyk, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, S.G. Davidson. Surf. Sci. Repts., 47, 93 (2002). DOI: 10.1016/S0167-5729(02)00052-3
- F.M. Peeters, P. Vasilopoulos, Appl. Phys. Lett. 55, 1106 (1989). DOI: 10.1063/1.101671
- G. Bastard. Phys. Rev. B, 25, 7584 (1982). DOI: 10.1103/PhysRevB.25.7584
- M. Altarelli. Band Structure, Impurities and Excitons in Superlattices. In: G. Allan, M. Lannoo, G. Bastard, M. Voos, N. Boccara (eds). Heterojunctions and Semiconductor Superlattices (Springer, Berlin, Heidelberg, 1986), DOI: 10.1007/978-3-642-71010-0_2
- R. Kucharczyk, M. Steslicka, B. Brzostowski, B. Djafari-Rouhani. Physica E, 5, 280 (2000). DOI: 10.1016/S1386-9477(99)00328-8
- I. Vurgaftman, J.R. Meyer, L.R. Ram-Mohan. J. Appl. Phys., 89, 5815 (2001). DOI: 10.1063/1.1368156
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