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

  • P. J. Baymatov Namangan State University
  • Sh. T. Inoyatov Namangan State University
Keywords: polaron, quantum dot, confining potential, ground-state energy, Buimistrov–Pekar method, Green’s function method, all-coupling approximation

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.

References

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.

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.

M. Galperin, M.A. Ratner, and A. Nitzan, J. Phys.: Condens. Matter 19, 103201 (2007).

http://dx.doi.org/10.1088/0953-8984/19/10/103201

E.P. Pokatilov, S.N. Klimin, S.N. Balaban, and V.M. Fomin, Phys. Status Solidi B 189, 433 (1995).

http://dx.doi.org/10.1002/pssb.2221890211

E.P. Pokatilov, V.M. Fomin, S.N. Balaban, S.N. Klimin, and J.T. Devreese, Phys. Status Solidi B 210, 879 (1998).

http://dx.doi.org/10.1002/(SICI)1521-3951(199812)210:2<879::AID-PSSB879>3.0.CO;2-I

S.N. Klimin, E.P. Pokatilov, and V.M. Fomin, Phys. Status Solidi B 184, 373 (1994).

http://dx.doi.org/10.1002/pssb.2221840211

K. Oshiro, K. Akai, and M. Matsuura, Phys. Rev. B 58, 7986 (1998).

http://dx.doi.org/10.1103/PhysRevB.58.7986

S. Mukhopadhyay and A. Chatterjee, J. Phys.: Condens. Matter 11, 2071 (1999).

http://dx.doi.org/10.1088/0953-8984/11/9/005

P.M. Krishna, S. Mukhopadhyay, and A. Chatterjee, Phys. Lett. A 360, 655 (2007).

http://dx.doi.org/10.1016/j.physleta.2006.09.020

V.M. Buimistrov and S.I. Pekar, Zh. Eksp. Teor. Fiz. ` 32, 1193 (1957).

E.P. Gross, Ann. Phys. (NY) 8, 78 (1959).

http://dx.doi.org/10.1016/0003-4916(59)90063-6

Bateman Manuscript Project, Higher Transcendental Functions, edited by A. Erd’elyi (McGraw-Hill, New York, 1953), Vol. 2.

Published
2019-01-21
How to Cite
Baymatov, P., & Inoyatov, S. (2019). Influence of the Medium Polarization on the Energy of an Electron in a Quantum Dot. Ukrainian Journal of Physics, 60(3), 277. https://doi.org/10.15407/ujpe60.03.0277
Section
Nanosystems