Skip to main content
SpringerLink
Log in

The Effective Mass of Impurity–bound Polaron in a Two- and Three-Dimensional Quantum Dot

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

Within the framework of the Landau–Pekar variational method we have derived an analytical expression for the ground-state binding energies and the effective mass of an electron bound to a Coulomb impurity in a polar semiconductor quantum dot (QD) with parabolic confinement in both two and three dimensions. We have also calculated the number of phonons in the cloud of this bound polaron. It is found that the effective mass increase with increasing the Coulomb binding parameter and increase with the decrease in size of the QD. The results also indicate that this effect becomes much more pronounced with decreasing dimensionality.

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

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. S.S. Li, J.B. Xia, Phys. Lett. A 366, 120 (2007)

    Article  ADS  Google Scholar 

  2. S.S. Li, X.J. Kong, J. Phys. Condens. Matter 4, 4815 (1992)

    Article  ADS  Google Scholar 

  3. S.S. Li, J.B. Xia, J. Appl. Phys. 100, 083714 (2006)

    Article  ADS  Google Scholar 

  4. J.B. Xia, Phys. Rev. B 40, 8500 (1989)

    Article  ADS  Google Scholar 

  5. F.M. Peeters, X.G. Wu, J.T. Devreese, Phys. Rev. B 33, 3926 (1986)

    Article  ADS  Google Scholar 

  6. M.H. Degani, G.A. Farias, Phys. Rev. B 42, 11950 (1990)

    Article  ADS  Google Scholar 

  7. K.D. Zhu, S.W. Gu, J. Phys. Condens. Matter 4, 1291 (1992)

    Article  ADS  Google Scholar 

  8. K.D. Zhu, S.W. Gu, Phys. Rev. B 47, 12941 (1993)

    Article  ADS  Google Scholar 

  9. K.D. Zhu, S.W. Gu, Phys. Lett. A 163, 435 (1992)

    Article  ADS  Google Scholar 

  10. S. Mukhopadhyay, A. Chatterjee, J. Phys. Condens. Matter 8, 4017 (1996)

    Article  ADS  Google Scholar 

  11. S. Mukhopadhyay, A. Chatterjee, Phys. Lett. A 204, 411 (1995)

    Article  ADS  Google Scholar 

  12. S. Mukhopadhyay, A. Chatterjee, Phys. Rev. B 55, 9279 (1997)

    Article  ADS  Google Scholar 

  13. C.Y. Chen, P.W. Jin, S.Q. Zhang, J. Phys. Condens. Matter 4, 4483 (1992)

    Article  ADS  Google Scholar 

  14. B.S. Kandemir, A. Cetin, Phys. Rev. B 65, 054303 (2002)

    Article  ADS  Google Scholar 

  15. F. Comas, C. Trallero-Giner, Phys. Rev. B 67, 115301 (2003)

    Article  ADS  Google Scholar 

  16. B. El Amrani, M. Fliyou, M. Barnoussi, M. Bouayad, Phys. Status Solidi (b). Basic Solid State Phys. 219, 39 (2000)

    Article  ADS  Google Scholar 

  17. S.H. Chen, Superlattices Microstruct. 46, 490 (2009)

    Article  ADS  Google Scholar 

  18. C.Y. Chen, P.W. Jin, W.S. Li, D.L. Lin, Phys. Rev. B 56, 14913 (1997)

    Article  ADS  Google Scholar 

  19. R. Charrour, M. Bouhassoune, M. Fliyou, D. Bria, A. Nougaoui, J. Phys. Condens. Matter 12, 4817 (2000)

    Article  ADS  Google Scholar 

  20. S. Sil, A. Chatterjee, J. Phys. Condens. Matter 3, 9401 (1991)

    Article  ADS  Google Scholar 

  21. S.H. Chen, Q.Z. Yao, Mod. Phys. Lett. B 25, 2419 (2011)

    Article  ADS  Google Scholar 

  22. A. Chatterjee, Ann. Phys. 202, 320 (1990)

    Article  ADS  Google Scholar 

  23. S.H. Chen, J.L. Xiao, Physica E 40, 2941 (2008)

    Article  ADS  Google Scholar 

  24. Q.Z. Yao, S.H. Chen, J. Low Temp. Phys. 162, 34 (2011)

    Article  ADS  Google Scholar 

  25. F.M. Peeters, J.T. Devreese, Phys. Rev. B 36, 4442 (1987)

    Article  ADS  Google Scholar 

  26. A. Chatterjee, Phys. Lett. A 135, 380 (1989)

    Article  ADS  Google Scholar 

  27. S. Sil, A. Chatterjee, Phys. Lett. A 140, 59 (1989)

    Article  ADS  Google Scholar 

  28. L.D. Landau, S.I. Pekar, Zh. Eksp. Teor. Fiz. 16, 341 (1946)

    Google Scholar 

  29. J.D.A. Providencia, M.D.C. Ruivo, C.A. Sousa, Ann. Phys. 91, 366 (1975)

    Article  ADS  Google Scholar 

  30. C.Y. Chen, D.L. Lin, P.W. Jin, S.Q. Zhang, R. Chen, Phys. Rev. B 49, 13680 (1994)

    Article  ADS  Google Scholar 

  31. S. Yanar, A. Sevim, B. Boyacioglu, M. Saglam, S. Mukhopadhyay, A. Chatterjee, Superlattices Microstruct. 43, 208 (2008)

    Article  ADS  Google Scholar 

  32. A.L. Vartanian, L.A. Vardanyan, E.M. Kazaryan, Phys. Lett. A 360, 649 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Huzhou Vocational Technology College, 299 Xuefu Road, Huzhou, 313000, Zhejiang, China

    Shi-Hua Chen

Authors
  1. Shi-Hua Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Shi-Hua Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, SH. The Effective Mass of Impurity–bound Polaron in a Two- and Three-Dimensional Quantum Dot. J Low Temp Phys 170, 108–115 (2013). https://doi.org/10.1007/s10909-012-0706-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-012-0706-4

Keywords

Search

Navigation