Skip to main content

Advertisement

Log in

Vacuum Energy of a Two-Dimensional Electron Crystal

  • Published:
Russian Physics Journal Aims and scope

The energy of a two-dimensional electron crystal in the low-density limit is studied. The first correction to the electrostatic energy of a crystal is shown to be \( 1.62733{r}_s^{-3/2} \) Ry. The answer is obtained using the method of numerical integration.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. E. Wigner, Phys. Rev., 46, 1002 (1934).

    Article  ADS  Google Scholar 

  2. R. Crandall, Phys. Rev. A, 8, No. 4, 2136 (1973).

    Article  ADS  Google Scholar 

  3. L. Baguet et al., Phys. Rev. Lett., 111, 166402(1−5) (2013).

    Article  ADS  Google Scholar 

  4. L. Baguet et al., Phys. Rev. B, 84, 115115(1−7) (2011).

    ADS  Google Scholar 

  5. R. C. Albers and J. E. Gubernatis, Phys. Rev. B, 33, No. 8, 5180 (1986).

    Article  ADS  Google Scholar 

  6. D. Borwein et al., J. Phys. A: Math. Gen., 21, 1519 (1988).

    Article  ADS  Google Scholar 

  7. G. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid, CUP, N. Y. (2005).

    Book  Google Scholar 

  8. P.-F. Loos and P. M. W. Gill, Comput. Mol. Sci., 6, 410 (2016).

    Article  Google Scholar 

  9. L. Bonsall, A. A. Maradudin, Phys. Rev. B, 15, No. 4, 1959 (1977).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. S. Kalinichenko.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 159–163, October, 2021.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kalinichenko, I.S. Vacuum Energy of a Two-Dimensional Electron Crystal. Russ Phys J 64, 1961–1966 (2022). https://doi.org/10.1007/s11182-022-02533-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-022-02533-4

Keywords

Navigation