Skip to main content
SpringerLink
Log in

Relativistic Corrections to the Theory of Nanostructures

  • PHYSICS OF SEMICONDUCTORS AND DIELECTRICS
  • Published:
Russian Physics Journal Aims and scope

On the example of a simple exactly solved model of the potential well formed by three piecewise-constant potentials, it is demonstrated that spin splitting of electronic levels (the Rashba effect) exists only for an approximate description with the Pauli equation. An exact problem solution based on the Dirac equation demonstrates that such splitting of levels in the potential well is absent. This result is obtained both analytically and numerically. It is demonstrated that this is valid for any systems with piecewise-constant potentials forming the potential well.

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. V. B. Berestetskii, E. M. Lifshits, and L. P. Pitaevskii, Theoretical Physics. Vol. 4. Relativistic Quantum Theory. Part 1 [in Russian], Nauka, Moscow (1968).

  2. R. Winkler Springer Tracts in Modern Physics Vol. 191. Spin-Orbit Coupling Effects in Two-Dimensional Electron and Well Systems, Springer Verlag, Berlin; Heidelberg (2003).

  3. L. D. Landau and E. M. Lifshits, Theoretical Physics. Vol. 3. Quantum Mechanics. Nonrelativistic Theory [in Russian], Nauka, Moscow (1989).

  4. S. L. Chuang and C. S. Chang, Phys. Rev., B54, No. 4, 2491 (1996).

    Article  ADS  Google Scholar 

  5. C. Aversa and J. E. Sipe, Phys. Rev., B49, No. 20, 14542–14549 (1994).

    Article  ADS  Google Scholar 

  6. C. Aversa and J. E. Sipe, Phys. Rev., B47, No. 11, 6590–6597 (1993).

    Article  ADS  Google Scholar 

  7. G. L. Bir and G. E. Pikus, Symmetry and Strain-Induced Effects in Semiconductors [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  8. S. Brosing, K. Ennslin, R. J. Warburton, et al., Phys. Rev., B60, No. 20, 13989–13992 (1999).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. V. D. Kuznetsov Siberian Physical-Technical Institute at Tomsk State University, Tomsk, Russia

    G. F. Karavaev

Authors
  1. G. F. Karavaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. F. Karavaev.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 92–98, April, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Karavaev, G.F. Relativistic Corrections to the Theory of Nanostructures. Russ Phys J 57, 525–532 (2014). https://doi.org/10.1007/s11182-014-0270-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-014-0270-2

Keywords

Search

Navigation