Electron-Phonon Scattering in Quantum-Sized Films with the Hyperbolic Pöschl–Teller Potential

  • Kh. A. Gasanov Azerbaijan State Pedagogical University, Academy of the Ministry of Emergency Situations of the Republic of Azerbaijan
  • J. I. Guseinov Azerbaijan State Pedagogical University
  • I. I. Abbasov Azerbaijan State Oil and Industry University
  • D. J. Askerov Azerbaijan State Oil and Industry University
  • Kh. O. Sadig Azerbaijan State Oil and Industry University
Keywords: quantum-sized film, electron-phonon interaction, hyperbolic potential, transition probability

Abstract

A quantitative theory of electron-phonon interaction in the two-dimensional electron gas in a quantum-sized film with the hyperbolic P¨oschl–Teller confining potential has been developed. Analytical expressions for the transition probability are derived in the case of electron scattering by deformation-induced acoustic, piezoacoustic, and polar optical phonons. The results obtained for various scattering mechanisms in the film are compared with the results obtained for bulk crystals.

References

P. Harrison. Quantum Wells, Wires and Dots: Theoretical and Computational Physics (Wiley, 2005). https://doi.org/10.1002/0470010827

B.K. Ridley. Hot electrons in low-dimensional structures. Rep. Prog. Phys. 54, 169 (1991). https://doi.org/10.1088/0034-4885/54/2/001

M.D. Glinchuk, V.V. Khist, A.N. Morozovska. Renovation of interest in the magnetoelectric effect in nanoferroics. Ukr. J. Phys. 63, 11 (2018). https://doi.org/10.15407/ujpe63.11.1006

Yu. Pozhela, K. Pozhela, V. Yutsene. Electron scattering by confined interface polar optical phonons in a double heterostructure. Fiz. Tekh. Poluprovodn. 41, 9 (2007) (in Russian). https://doi.org/10.1134/S1063782607090126

Yu. Pozhela, K. Pozhela, V. Yutsene, A. Sujedelis, A.S. Shkolnik, S.S. Mikhrin, V.S. Mikhrin. Interaction of electrons with polar optical phonons localized in quantum wells. Fiz. Tekh. Poluprovodn. 43, 12 (2009) (in Russian). https://doi.org/10.1134/S1063782609120033

M.M. Afanasova, V.A. Stepanov, M.A. Korgavchikov. Investigation of the electron-phonon interaction in structures InAs/AlSb in quantization magnetic field regime. Nanosyst. Phys. Chem. Math. 3, 6 (2012).

A.C. Gandhi, W-S. Yeoh, M.-An Wu et al. New insights into the role of weak electron-phonon coupling in nanostructured ZnO thin films. Nanomaterials 8, 632 (2018). https://doi.org/10.3390/nano8080632

U. Akgul. Structural and dielectric properties of TiO2 thin films grown at different sputtering powers. Eur. Phys. J. Plus 134, 3 (2019). https://doi.org/10.1140/epjp/i2019-12407-7

P.I. Arseev, V.N. Mantsevich, N.S. Maslova, V.I. Panov. Features of tunneling processes in semiconductor nanostructures. Usp. Fiz. Nauk 187, 11 (2017) (in Russian). https://doi.org/10.3367/UFNr.2017.01.038055

Kh.A. Gasanov, J.I. Guseinov, I.I. Abbasov, F.I. Mamedov, D.J. Askerov. Dielectric function of a quantum-confined thin film with a modified P?oschl-Teller potential, Ukr. J. Phys. 63, 12 (2018). https://doi.org/10.15407/ujpe63.12.1109

P.P. Kostrobiy, I.A. Rizha. A model for thin electron film. Visn. Nat. Univ. Lviv. Politekh. Fiz. Mat. Sci. No. 718, 89 (2011) (in Ukrainian).

L.I. Schiff. Quantum Mechanics (McGraw Hill, 1968).

B.M. Askerov. Electronic Transport Phenomena in Semiconductors (World Scientific, 1985).

Y.Yu. Peter, M. Cardona. Fundamentals of Semiconductors. Physics and Materials Properties (Springer, 2010). https://doi.org/10.1007/978-3-642-00710-1

Published
2019-05-16
How to Cite
Gasanov, K., Guseinov, J., Abbasov, I., Askerov, D., & Sadig, K. (2019). Electron-Phonon Scattering in Quantum-Sized Films with the Hyperbolic Pöschl–Teller Potential. Ukrainian Journal of Physics, 64(4), 336. https://doi.org/10.15407/ujpe64.4.336
Section
Semiconductors and dielectrics