Research Article | Open Access
Volume 2 | Issue 3 | Year 2015 | Article Id. IJAP-V2I4P101 | DOI : https://doi.org/10.14445/23500301/IJAP-V2I4P101The Energy Levels of an Polaron in Parabolic potential well
P.J. Baymatov, SH.T.Inoyatov, B.T. Abdulazizov
Citation :
P.J. Baymatov, SH.T.Inoyatov, B.T. Abdulazizov, "The Energy Levels of an Polaron in Parabolic potential well," International Journal of Applied Physics, vol. 2, no. 3, pp. 1-6, 2015. Crossref, https://doi.org/10.14445/23500301/IJAP-V2I4P101
Abstract
On the basis of Buimistrov-Pekar method the polaron energy spectrum is studied in a spherical quantum dot of a polar semiconductor. The polaron correction for the ground and first excited states of the electron, depending on the size of the quantum dot is found. It is shown that refined approximation of the wave function of phonons leads to a more accurate estimation of energy polaron states and found energy levels better controlled quantum dot size than other approximations.
Keywords
Polaron, Quantum Dot, Confining Potential, Buimistrov–Pekar Method, All Coupling Approximation.
References
[1] Zh.I.Alferov. Fizika i Thehnika Poluprovodnikov , 32 (1), 3 (1998).
[2] A. Lorke, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 64 (1990) 2559.
[3] L. Banyai, S. Koch. Semiconductor Quantum Dots (World Sc. Publ. Co., Singapure, 1993).
[4] A.S. Alexandrov and J.T. Devreese, Advances in Polaron Physics, Springer Series in Solid-State Sciences 159, Springer-Verlag Berlin Heidelberg 2010, DOI: 0.1007/978-3-642-01896-1_6
[5] R. R. Hudgins, P. Durourd, J. M. Tenenbaum, and M. F. Jarrold, Phys. Rev. Lett. 78, 4213 (1997).
[6] E.P. Pokatilov, V.M. Fomin, J.T. Devreese, S.N. Balaban, S.N. Klimin, Physica E 4 (1999) 156.
[7] S. I. Pekar, Issledovanija po Ekektronnoj Teorii Kristallov, Gostekhizdat, Moskva, 1951 (in Russian).
[8] I.P. Ipatova, A.Yu. Maslov, O.V. Proshina. Fizika i Thehnika Poluprovodnikov, 37, 1819 (1995).
[9] I.P. Ipatova, A.Yu. Maslov, O.V. Proshina. Phys. Low-Dim. Structur., № 4-5, 1, (1996).
[10] S.Mukhopadhyay, A. Chatterjee, J. Phys.: Condens. Matter. 11 (1999) 2071.
[11] P.M. Krishna, S. Mukhopadhyay, and A. Chatterjee, Phys.Lett. A 360, 655 (2007).
[12] W.J. Huybrechts, Solid State Commun. 27, 45 (1978)
[13] V.M. Buimistrov and S.I. Pekar, Zh. Eksp. Teor. Fiz. 32, 1193 (1957).
[14] E.P.Gross. Ann.Phys. (N.Y) 8, 78 (1959).
[15] P.J. Baymatov, Sh.T. Inoyatov. Ukr. J. Phys. 60, № 3, 279 (2015).
[16] A.S.Davydov. Kvantovaya Mehanika. Fizmatgiz, M. 748 c. (1963) (in Russian).