•  
  •  
 

Scientific Bulletin. Physical and Mathematical Research

Abstract

This article discusses the effect of a quantizing magnetic field and temperature on Fermi energy oscillations in nanoscale semiconductor materials. A generalized mathematical expression is obtained for calculating the dependence of the Fermi energy oscillations on the magnetic field, temperature, and thickness of the quantum well. It is shown that the Fermi energy in nanoscale semiconductor materials under a quantizing magnetic field is quantized. The proposed theory explains the experimental results in two-dimensional semiconductor structures with a parabolic dispersion law.

First Page

5

Last Page

14

DOI

621.3.082.782

References

  1. A.V. Korotun. Size oscillations of the work function of a metal film on a dielectric substrate // Physics of the Solid State. Vol. 57, pp. 391-394 (2015).
  2. U.I. Erkaboev., G. Gulyamov, J.I. Mirzaev, R.G. Rakhimov. Modeling on the temperature dependence of the magnetic susceptibility and electrical conductivity oscillations in narrow-gap semiconductors. International Journal of Modern Physics B. Vol. 34, Iss. 7, pp. 2050052 (2020).
  3. V. P. Kurbatsky, V. V. Pogosov. Analytical model of oscillating size dependence of energy and force characteristics of subatomic metal films // Physics of the Solid State. Vol. 46, pp. 543-551 (2004).
  4. U.I. Erkaboev, R.G. Rakhimov, N.A. Sayidov. Mathematical modeling determination coefficient of magneto-optical absorption in semiconductors in presence of external pressure and temperature. Modern Physics Letters B. Vol. 2021, pp. 2150293 (2021).
  5. G. Gulyamov, U.I. Erkaboev, R.G. Rakhimov, J.I. Mirzaev. On temperature dependence of longitudinal electrical conductivity oscillations in narrow-gap electronic semiconductors. Journal of Nano- and Electronic Physics. Vol. 12, Iss. 3, pp. 03012 (2020).
  6. A.V. Korotun. Fermi energy of a metal nanowire with elliptical cross section // Physics of the Solid State. Vol. 56, pp. 1245-1248 (2014).
  7. G. Gulyamov, U.I. Erkaboev, N.A. Sayidov, R.G. Rakhimov. The influence of temperature on magnetic quantum effects in semiconductor structures. Journal of Applied Science and Engineering. Vol. 23, Iss. 3, pp. 453-460 (2020).
  8. U.I. Erkaboev, R.G. Rakhimov, J.I. Mirzaev, N.A. Sayidov. The influence of external factors on quantum magnetic effects in electronic semiconductor structures. International Journal of Innovative Technology and Exploring Engineering. Vol. 9, Iss. 5, pp. 1557-1563 (2020).
  9. A.V. Korotun, A.A. Koval. On the effect of dielectric environment on oscillations of the Fermi energy of an elliptic metallic nanowire // Physics of the Solid State. Vol. 57, pp. 1861-1864 (2015).
  10. V. D. Dymnikov. Fermi energy of electrons in a thin metallic plate // Physics of the Solid State. Vol. 53, pp. 901-907 (2011).
  11. M.V.Kuzmin, M.V. Loginov. Nonmonotonic size dependences of the work function of ytterbium nanofilms deposited on the Si (111) 7X7 surface at room temperature // Physics of the Solid State. Vol. 50, pp. 355-359 (2008).
  12. Yaji K., Mochizuki I., Kim S., Takeichi Y., Harasawa A., Ohtsubo Y., Le Fèvre P., Bertran F., Taleb-Ibrahimi A., Kakizaki A., Komori F. Fermi gas behavior of a one-dimensional metallic band of Pt-induced nanowires on Ge(001) // Physical Review B. Vol. 87, pp. 241413-1-241413-5 (2013).
  13. A.V. Babich, V.V. Pogosov. Quantum metal film in the dielectric environment // Physics of the Solid State. Vol. 55, pp. 196-204 (2013).
  14. I.M. Tsidilkovsky. Electrons and holes in semiconductors. M. Nauka, pp. 620-623 (1972)
  15. A.Ya. Shik, L.G. Bakueva, S.F. Musikhin, S.A.Rykov. Physics of low-dimensional systems. St. Petersburg. Nauka, pp. 104-105 (2001)
  16. Zawadzki W., Raymond A., Kubisa M. Reservoir model for two-dimensional electron gases in quantizing magnetic fields: A review // Phys. Status Solidi B. Vol. 251, No. 2, pp. 247–262 (2014).

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.