Abstract
In the effective-mass approximation the single-electron states in a semiconductor cylindrical nanolayer in the regime of strong quantization are considered. The explicit form of the energy spectrum and envelope wave functions of single-electron states is obtained in the case of large and moderate radii of the system. The corresponding absorption bands of dipole and quadrupole optical transitions in the layer are calculated.
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Grigor’kin, A.A. and Dunavsky, S.M., FTT, 2008, vol. 50, p. 507.
Grigor’kin, A.A. and Dunavsky, S.M., FTT, 2007, vol. 49, p. 557.
Ajiki, H. and Ando, T., J. Phys. Soc. Jap., 1993, vol. 628, p. 1255; Ando, T., Semicond. Sci. Tecnol., 2000, vol. 15, p. R13.
Appenzeller, J., Knoch, J., Radosavljevic, M., and Avouris, P., Phys. Rev. Lett., 2004, vol. 92, p. 226802.
Osadchiy, V.M. and Prinz, V.Ya., Pis’ma v ZhETF, 1998, vol. 72, p. 451.
Prinz, V.Ya, Seleznev, V.A., Gutakovsky, A.K., et al., Physica E, 2000, vol. 6, p. 828.
Prinz, V.Ya., Microelectron. Eng., 2003, vol. 69, p. 466.
Prinz, V.Ya., Physica E, 2004, vol. 424, p. 54; Vorob’ev, A.B., Prinz, V.Ya., et al., Photonics Spectra, 2004, vol. 23, p. 171.
Tkach, N.V., Pronishin, I.V., and Makhanets, A.M., FTT, 1998, vol. 40, p. 557.
Tkach, N.V. and Golovatsky, V.A., FTT, 2001, vol. 43, p. 350.
Vedernikov, A.I. and Chaplik, A.V., FTT, 2004, vol. 46, p. 1358.
Suzuura, H. and Ando, T., Phys. Rev. B, 2002, vol. 65, p. 235412.
Magarill, L.I., Romanov, D.A., and Chaplik, A.V., ZhETF, 1998, vol. 113, p. 1411.
Magarill, L.I. and Chaplik, A.V., ZhETF, 1999, vol. 115, p. 1478.
Chaplik, A.V., Pis’ma v ZhETF, 2004, vol. 80, p. 140.
Margulis, V.A. and Pyataev, M.A., Phys. Rev. B, 2005, vol. 72, p. 075312.
Chugaev, I.I., Margulis, V.A., Shorokhov, A.V., and Kholodova, C.E., FTT, 1999, vol. 41, p. 856.
Jayam, Sr.G. and Navaneethakrishnan, K., Sol. State Commun., 2002, vol. 122, p. 433.
Harutyunyan, V.A., Physica E, 2007, vol. 39, p. 37.
Haus, J.W., et al., Phys. Rev. B, 1993, vol. 47, p. 1359.
Schooss, D., Mews, A., et al., Phys. Rev. B, 1994, vol. 49, p. 17072.
Abramowitz, M. and Stegun, I.A., Handbook of Mathematical Formulas, Graphs and Mathematical Tables, Washington D.C., 1964.
Landau, L.D. and Lifshitz, E.M., Kvantovaya mekhanika. Nerelyativistskaya teoriya (Quantum Mechanics. Nonrelativistic Theory), Moscow: Nauka, 1974.
Prudnikov, A.P., Brychkov, Yu.A., and Marichev, O.I., Integrali i ryadi (Integrals and Series), vol. 1, Moscow: Nauka, 1981.
Haug, H. and Koch, S.W., Quantum Theory of the Optical and Electronic Properties of Semiconductors, Singapore: World Scientific, 1994.
Harrison, P., Quantum Wells, Quantum Wires, and Quantum Dots, New York: Wiley, 2000.
Harutyunyan, V.A., Kazaryan, E.M., Kostanyan, A.A., and Sarkisyan. H.A., Physica E, 2007, vol. 36, p. 114.
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Original Russian Text © V.A. Harutyunyan, S.L. Harutyunyan, G.H. Demirjan, N.H. Gasparyan, 2008, published in Izvestiya NAN Armenii, Fizika, 2008, Vol. 43, No. 5, pp. 336–347.
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Harutyunyan, V.A., Harutyunyan, S.L., Demirjan, G.H. et al. Optical absorption in a semiconductor cylindrical nanolayer. J. Contemp. Phys. 43, 218–225 (2008). https://doi.org/10.3103/S1068337208050022
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DOI: https://doi.org/10.3103/S1068337208050022