Skip to main content
SpringerLink
Log in

Energy Spectrum of Electrons of Deep Impurity Centers in Wide-Bandgap Mesoscopic Semiconductors

  • Condensed Matter
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

The energy spectrum of deep impurity centers in wide-bandgap semiconductors (Eg > 2 eV) of mesoscopic sizes R ⪢ λD, where λD is the de Broglie wavelength, at which the spectrum of free (uncoupled) charge carriers is not quantized, but the surface significantly affects physical processes in the bulk, has been theoretically considered. It has been shown that the binding energy of an electron on an impurity center near the surface of the crystal tends to zero. In this case, the wavefunction of the electron of the impurity center located in the surface region is delocalized; i.e., the energy of the impurity electron lies in the conduction band. The possible effect of such an energy overlap on effects observed in wide-bandgap mesoscopic semiconductors is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. O. P. Mikheeva and A. I. Sidorov, Tech. Phys. 49, 739 (2004).

    Article  Google Scholar 

  2. Y. B. Band and Y. Avishai, Quantum Mechanics with Applications to Nanotechnology and Information Science (Academic, Amsterdam, The Netherlands, 2013), p. 749.

    Book  Google Scholar 

  3. J. Imry, Introduction to Mesoscopic Physics (Oxford Univ. Press, Oxford, 1997).

    Google Scholar 

  4. V. N. Abakumov, V. I. Perel’, and I. N. Yassievich, Nonradiative Recombination in Semiconductors (PIYaF im. B.P. Konstantinova, St.-Petersburg, 1997; North-Holland, Amsterdam, 1991).

    Google Scholar 

  5. L. Wang, J. Jin, Ch. Mi, Zh. Hao, Y. Luo, Ch. Sun, Y. Han, B. Xiong, J. Wang, and H. Li, Materials 10, 1233 (2017).

    Article  ADS  Google Scholar 

  6. Ch. Jaehee, E. F. Schubert, and J. K. Kim, Laser Photon. Rev. 7, 408 (2013).

    Article  ADS  Google Scholar 

  7. G. Verzellesi, D. Saguatti, M. Meneghini, F. Bertazzi, M. Goano, G. Meneghesso, and E. Zanoni, J. Appl. Phys. 114, 071101 (2013).

    Article  ADS  Google Scholar 

  8. C. Weisbuch, M. Piccardo, L. Martinelli, J. Iveland, J. Peretti, and J. S. Speck, Phys. Status Solidi A 212, 899 (2015).

    Article  ADS  Google Scholar 

  9. Q. Dai, M. F. Schubert, M. H. Kim, J. K. Kim, E. F. Schubert, D. D. Koleske, M. H. Crawford, S. R. Lee, A. J. Fischer, G. Thaler, and M. A. Banas, Appl. Phys. Lett. 94, 111109 (2009).

    Article  ADS  Google Scholar 

  10. M. F. Schubert, S. Chhajed, J. Kyu Kim, E. F. Schubert, D. D. Koleske, M. H. Crawford, S. R. Lee, A. J. Fischer, G. Thaler, and M. A. Banas, Appl. Phys. Lett. 91, 231114 (2007).

    Article  ADS  Google Scholar 

  11. S. Chhajed, J. Cho, E. F. Schubert, J. K. Kim, D. D. Koleske, and M. H. Crawford, Phys. Status Solidi A 208, 947 (2011).

    Article  ADS  Google Scholar 

  12. W. Liu, D. Zhao, D.-Sh. Jiang, and P. Chen, J. Phys. D: Appl. Phys. 49, 145104 (2016).

    Article  ADS  Google Scholar 

  13. A. M. Armstrong, M. H. Crawford, and D. D. Koleske, Appl. Phys. Express 7, 032101 (2014).

    Article  ADS  Google Scholar 

  14. Yu. N. Demkov, V. I. Ostrovskii, Method of Zero-Radius Potentials in Atomic Physics (LGU, Leningrad, 1975) [in Russian].

    Google Scholar 

  15. V. L. Bakhrakh and S. I. Vetchinkin, Teor. Mat. Fiz. 6, 392 (1971).

    Article  Google Scholar 

  16. D. A. Varshalovich, V. K. Khersonskii, E. V. Orlenko, and A. N. Moskalev, Quantum Theory of Angular Momentum (Fizmatlit, Moscow, 2018; World Scientific, Singapore, 1988), Vol. 1.

    Google Scholar 

  17. A. A. Pakhomov and I. N. Yassievich, Semiconductors 27, 270 (1993).

    ADS  Google Scholar 

  18. M. J. Mendes, I. Tobías, A. Martí, and A. Luque, Opt. Express 19, 16208 (2011).

    Article  ADS  Google Scholar 

  19. S. Gromann, D. Friedrich, M. Karolak, R. Kullock, E. Krauss, M. Emmerling, G. Sangiovanni, and B. Hecht, Phys. Rev. 122, 246802 (2019).

    Google Scholar 

  20. V. N. Abakumov, V. I. Perel, and I. N. Yassievich, Nonradiative Recombination in Semiconductors, Vol. 33 of Modern Problems in Condensed Matter Sciences (Elsevier, Amsterdam, The Netherlands, 1991).

    Google Scholar 

Download references

Acknowledgments

We are grateful to Alexander Shames (Ben-Gurion University, Israel) and Vladimir Osipov (Ioffe Institute, Russian Academy of Sciences) for stimulating discussions.

Author information

Authors and Affiliations

  1. Ioffe Institute, Russian Academy of Sciences, St. Petersburg, 194021, Russia

    G. G. Zegrya, D. M. Samosvat & A. Ya. Vul’

Authors
  1. G. G. Zegrya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. M. Samosvat
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Ya. Vul’
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. G. Zegrya.

Additional information

Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 112, No. 12, pp. 807–812.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zegrya, G.G., Samosvat, D.M. & Vul’, A.Y. Energy Spectrum of Electrons of Deep Impurity Centers in Wide-Bandgap Mesoscopic Semiconductors. Jetp Lett. 112, 769–773 (2020). https://doi.org/10.1134/S0021364020240091

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364020240091

Search

Navigation