• Українська
  • English

< | Next issue>

Current issue   Ukr. J. Phys. 2015, Vol. 60, N3, p.277-280
https://doi.org/10.15407/ujpe60.03.0277    Paper

Baymatov P.J., Inoyatov Sh.T.

Namangan State University
(316, Uychi Str., Namangan 716019, Republic of Uzbekistan; e-mail: pbaymatov@rambler.ru)

Influence of the Medium Polarization on the Energy of an Electron in a Quantum Dot

Section: Nanosystems
Original Author's Text: Ukrainian

Abstract: The Buimistrov–Pekar method has been applied to calculate the polaronic shift of the electron energy level in a quantum dot. In the framework of the parabolic confinement approximation, the differential equation for the phonon amplitude is exactly solved, by using the Green’s function method. The results of various approximations have been compared.

Key words: polaron, quantum dot, confining potential, ground-state energy, Buimistrov– Pekar method, Green’s function method, all-coupling approximation.

References:

  1. A.S. Alexandrov, in Nanotechnology for Electronic Materials and Devices, edited by A. Korkin, E. Gusev, J.K. Labanowski, and S. Luryi (Springer, New York, 2006), p. 305.
  2. J.T. Devreese, V.M. Fomin, and E.P. Pokatilov, in Handbook of Semiconductor Nanostructures and Nanodevices, Vol. 4, edited by A.A. Balandin and K.L. Wang (Amer. Sci. Publ., Los Angeles, 2006), p. 339.
  3. M. Galperin, M.A. Ratner, and A. Nitzan, J. Phys.: Condens. Matter 19, 103201 (2007). CrossRef
  4. E.P. Pokatilov, S.N. Klimin, S.N. Balaban, and V.M. Fomin, Phys. Status Solidi B 189, 433 (1995). CrossRef
  5. E.P. Pokatilov, V.M. Fomin, S.N. Balaban, S.N. Klimin, and J.T. Devreese, Phys. Status Solidi B 210, 879 (1998). CrossRef
  6. S.N. Klimin, E.P. Pokatilov, and V.M. Fomin, Phys. Status Solidi B 184, 373 (1994). CrossRef
  7. K. Oshiro, K. Akai, and M. Matsuura, Phys. Rev. B 58, 7986 (1998). CrossRef
  8. S. Mukhopadhyay and A. Chatterjee, J. Phys.: Condens. Matter 11, 2071 (1999). CrossRef
  9. P.M. Krishna, S. Mukhopadhyay, and A. Chatterjee, Phys. Lett. A 360, 655 (2007). CrossRef
  10. V.M. Buimistrov and S.I. Pekar, Zh. Eksp. Teor. Fiz. ` 32, 1193 (1957).
  11. E.P. Gross, Ann. Phys. (NY) 8, 78 (1959). CrossRef
  12. Bateman Manuscript Project, Higher Transcendental Functions, edited by A. Erd’elyi (McGraw-Hill, New York, 1953), Vol. 2.