Skip to main content
Log in

Re-entrant ferromagnetism in a two-dimensional mixed spin Ising model with random nearest-neighbour interactions

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

Using the finite cluster approximation we study a mixed spin model with random interactions on a ferrimagnetic square lattice (with spins σ=1/2 andS=1). The interactions are assumed to be independent random variables with distribution,P(K ij )=pδ(K ij K)+(1−p) δ(K ij −αK), whereK>0 and |α|≦1. In a certain range of negative values of α the phase diagrams exhibit re-entrant behaviour. This indicates that re-entrance seems to be a characteristic feature of systems in which both frustration and disorder are present.

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. Callen, H.B.: Phys. Lett.4, 161 (1963)

    Google Scholar 

  2. Benayad, N., Benyoussef, A., Boccara, N.: J. Phys. C.: Solid State Phys.20, 2053 (1987)

    Google Scholar 

  3. Benayad, N., Benyoussef, A., Boccara, N.: J. Phys. C.: Solid State Phys.21, 5417 (1988)

    Google Scholar 

  4. Benyoussef, A., Boccara, N.: J. Phys.44, 1143 (1983)

    Google Scholar 

  5. Boccara, N.: Phys. Lett.94A, 185 (1983)

    Google Scholar 

  6. Benayad, N., Benyoussef, A., Boccara, N.: J. Phys. C.: Solid State Phys.18, 1899 (1985)

    Google Scholar 

  7. Wolff, W.F., Zittartz, J.: Z. Phys. B—Condensed Matter60, 185 (1985)

    Google Scholar 

  8. Néel, L.: Ann. Phys. (Paris)3, 137 (1948)

    Google Scholar 

  9. Schofield, S.L., Bowers, R.G.: J. Phys. A: Math. Gen.13, 3697 (1980)

    Google Scholar 

  10. Yousif, B.Y., Bowers, R.G.: J. Phys. A: Math. Gen.17, 3389 (1984)

    Google Scholar 

  11. Kun-Fa Tang: J. Phys. A: Math. Gen.21, L 1097 (1988)

    Google Scholar 

  12. Drillon, M., Coronado, E., Beltran, D., Georges, R.: J. Chem. Phys.79, 449 (1983)

    Google Scholar 

  13. Sykes, M.F., Essam, J.W.: Phys. Rev.133A, 310 (1964)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

On leave from Faculté des Sciences I, Université Hassan II, Casablanca, Morocco; and Laboratoire de Magnétisme Université de Rabat, Morocco

Supported by the agreement of cooperation between the DFG and the CNR-Maroc.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Benayad, N., Klümper, A., Zittartz, J. et al. Re-entrant ferromagnetism in a two-dimensional mixed spin Ising model with random nearest-neighbour interactions. Z. Physik B - Condensed Matter 77, 333–338 (1989). https://doi.org/10.1007/BF01313678

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01313678

Keywords

Navigation