Abstract
One-electron states in narrow-band spherical InSb nanolayer are considered. Electron dispersion law is described in double-gap Kane model, when electrons and light holes behaviors are described by Klein–Gordon equation analog. On the basis of derived expressions for one particle wave functions, dipole and quadrupole electron moments in above mentioned system are defined. It is shown, that mean value for dipole moment equal to zero and for defining mean value of quadrupole moment tensor it is enough to calculate mean value for diagonal z-component of that tensor. Also electrostatic field potentials and tensions, created by electron in different quantum states, are defined.
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References
Fomin, V.M., Physics of Quantum Rings, Springer, 2014.
Lorke, A. et al., Phys. Rev. Lett., 2000, vol. 84, p. 2223.
Kim, S. et al., Small, 2011, vol. 7, p. 70.
Song, K. and Lee, S., Current Applied Physics, 2001, vol. 1, p. 169.
Qin, G. and Ren, S., J. Appl. Phys., 2001, vol. 89, p. 6037.
Harutyunyan, V.A., Physica E, 2007, vol. 39, p. 37.
Kazaryan, E.M., Kirakosyan, A.A., Mughnetsyan, V.N., and Sarkisyan, H.A., Semicon. Sci. Techn., 2012, vol. 27, p. 085003.
Pietilainen, P. and Chakraborty. T., Solid State Comm., 1993, vol. 87, p. 809.
Kazaryan, E.M., Kostanyan, A.A., and Sarkisyan, H.A., J. Contemp. Phys. (Armenian Ac. Sci.), 2007, vol. 42, p. 145.
Goan, H., Phys. Rev. B, 2004, vol. 70, p. 075305.
Averin, D.V. and Pekola, J.P., Phys. Rev. Lett., 2008, vol. 101, p. 066801.
Lebedeva, N., Varpula, A., Novikov, S., and Kuivalainen, P., Phys. Rev. B, 2010, vol. 81, p. 235307.
Ubbelohde, N. et al., Nature Commun., 2012, vol. 3, p. 612.
Miralaie, M., Leilaeioun, M., Abbasian, K., and Hasani, M., J. Comp. Theor. Nanosc., 2014, vol. 11, p. 15.
Flugge, S., Practical Quantum Mechanics, New York Springer-Verlag, 1971.
Tsidilkovskii, I.M., Elektrony i dyrki v poluprovodnikakh: Energeticheskii spektr i dinamika (Electrons and Holes in Semiconductors: Energy Spectrum and Dynamics), Moscow Nauka, 1972.
Zoheir, M., Manaselyan, A.Kh., and Sarkisyan, H.A., Physica E, 2008, vol. 40, p. 2945.
Bredov, M.M., Rumyantsev, V.V., and Toptygin, I.N., Klassicheskaya elektrodinamika (Classical Electrodynamics), Moscow Nauka, 1985.
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Original Russian Text © S.M. Amirkhanyan, E.M. Kazaryan, H.A. Sarkisyan, 2015, published in Izvestiya NAN Armenii, Fizika, 2015, Vol. 50, No. 3, pp. 357–367.
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Amirkhanyan, S.M., Kazaryan, E.M. & Sarkisyan, H.A. Calculation of electrostatic multipoles of electron localized in narrow-band InSb spherical nanolayer. J. Contemp. Phys. 50, 268–276 (2015). https://doi.org/10.3103/S1068337215030081
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DOI: https://doi.org/10.3103/S1068337215030081