Skip to main content
Log in

Spin-glass with short-range interaction in a magnetic field

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

The properties of spin-glasses with nonmagnetic defects are considered in the vicinity of the “transition point” in a finite magnetic field, by means of a percolational approach. It is shown that the dependence of the magnetic specific heat δC(h) = C(h)−C(o) or of the magnetic susceptibility ∂M(h)/∂h on field and temperature allows us to define the distribution function of finite clusters with respect to their size. In addition to general formulas resulting from the scaling laws, more detailed formulas are obtained for two model distributions: (a) the Bethe lattice distribution, (b) a special model distribution with arbitrary indices.

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. A. A. Abrikosov and S. I. Moukhin, Zh. Eksp. Teor. Fiz. Pisma 27, 477 (1978); J. Low Temp. Phys., in press.

    Google Scholar 

  2. D. A. Smith, J. Phys. F 4, 1266 (1974); 5, 2148 (1975).

    Google Scholar 

  3. M. A. Ivanov and Je. F. Shender, Zh. Eksp. Teor. Fiz. 69, 350 (1975).

    Google Scholar 

  4. F. D. K, Roberts and S. H. Storey, Biometrika 55, 258 (1968); A. S. Skal and B. I. Shklovskii, Fiz. Tekhn. Polupr. 7, 1589 (1973).

    Google Scholar 

  5. M. E. Levinstein, B. I. Shklovskii, M. S. Shur, and A. L. Efros, Zh. Eksp. Teor. Fiz. 69, 386 (1975); B. I. Shklovskii and A. L. Efros, Uspekhi Fiz. Nauk. 117, 401 (1975).

    Google Scholar 

  6. D. Stauffer, Phys. Rev. Lett. 35, 394 (1975).

    Google Scholar 

  7. L. Reato and E. Rastelli, J. Phys. C 5, 2785 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abrikosov, A.A. Spin-glass with short-range interaction in a magnetic field. J Low Temp Phys 33, 505–520 (1978). https://doi.org/10.1007/BF00115572

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00115572

Keywords

Navigation