Skip to main content
SpringerLink
Log in

Antiferromagnetism in the Hubbard model

  • Magnetism and Ferroelectricity
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The energy spectrum of the two-sublattice Hubbard model is obtained in the static-fluctuation approximation. It is shown how the structure of the energy spectrum is modified as the parameters of the Hubbard model are varied. The ground state of the simple Hubbard model of dimension d=2 is the dielectric antiferromagnetic state. The author derives a consistency equation for the magnetization, which has an antiferromagnetic solution.

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. Yu. A. Izyumov, M. I. Katsnel’son, and Yu. N. Skryabin, Magnetism of Localized Electrons [in Russian], Moscow (1994).

  2. Yu. A. Izyumov, Usp. Fiz. Nauk 165, 403 (1995).

    Google Scholar 

  3. E. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).

    Article  ADS  Google Scholar 

  4. V. V. Loskutov, G. I. Mironov, and R. R. Nigmatullin, Fiz. Nizk. Temp. 22, 282 (1996) [Low Temp. Phys. 22, 220 (1996)].

    Google Scholar 

  5. J. Hubbard, Proc. R. Soc. London Ser. A 276, 238 (1963).

    ADS  Google Scholar 

  6. V. J. Emery, Phys. Rev. Lett. 58, 2794 (1987).

    Article  ADS  Google Scholar 

  7. R. R. Nigmatullin and V. A. Toboev, Teor. Mat. Fiz. 68, 88 (1986).

    MathSciNet  Google Scholar 

  8. T. Moriya, Spin Fluctuations in Itinerant Electron Magnetism (Springer-Verlag, Berlin-New York, 1985) [Russian trans., Moscow, 1988].

    Google Scholar 

  9. S. L. Malyshev and V. N. Popov, Teor. Mat. Fiz. 105, 149 (1995).

    MathSciNet  Google Scholar 

  10. S. V. Tyablikov, Methods in the Quantum Theory of Magnetism (Plenum Press, New York, 1967) [Russian original, 2nd ed., Nauka, Moscow, 1975].

    Google Scholar 

  11. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, U. S. Govt. Printing Office, Washington, DC (1964) [Russian trans., Nauka, Moscow 1979].

    Google Scholar 

  12. D. I. Khomskii, Fiz. Met. Metalloved. 29(1), 31 (1970).

    Google Scholar 

  13. Y. Kakehashi and H. Hasegawa, Phys. Rev. B 37, 7777 (1988).

    Article  ADS  Google Scholar 

  14. Y. Kakehashi and P. Fulde, Phys. Rev. B 32, 1595 (1985).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mari State Pedagogical Institute, 424002, Ioshkar-Ola, Russia

    G. I. Mironov

Authors
  1. G. I. Mironov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Fiz. Tverd. Tela (St. Petersburg) 39, 1594–1599 (September 1997)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mironov, G.I. Antiferromagnetism in the Hubbard model. Phys. Solid State 39, 1420–1424 (1997). https://doi.org/10.1134/1.1130091

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1130091

Keywords

Search

Navigation