Skip to main content

Macroscopic description of spin glasses

  • Random Systems
  • Conference paper
  • First Online:
Modern Trends in the Theory of Condensed Matter

Part of the book series: Lecture Notes in Physics ((LNP,volume 115))

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I.E. Dzyaloshinskii, G.E. Volovik, J. de Phys. 39, 693 (1978)

    Google Scholar 

  2. G.E. Volovik, I.E. Dzyaloshinskii, ZheTF, 75, 1102 (1978)

    Google Scholar 

  3. I.E. Dzyaloshinskii, G.E. Volovik “Localized Modes in Spin Glasses”, Preprint, Landau Institute, Moscow, 1978.

    Google Scholar 

  4. J. Toulouse, Comm. Phys. 2, 115 (1978)

    Google Scholar 

  5. J. Villain, J. Phys. C10, 1717, 4793 (1977).

    ADS  Google Scholar 

  6. If at large distances from the frustrated plaquette we go from the lattice to a continuous spin deistribution, the spin orientation will correspond to the Hopf texture cut off a distance of the order of the lattice period (re Fig. 4). For details of such textures re, e.g., the work by G.E. Volovik, V.P. Mineev, ZhETF, 73, 767 (1977).

    Google Scholar 

  7. B.J. Halperin, W.M. Saslow, Phys. Rev. B16, 2154 (1977).

    ADS  Google Scholar 

  8. A.F. Andreev, ZhETF, 74, 785 (1978).

    Google Scholar 

  9. In the case of the Ising spin glass it is impossible to compensate the surfacial part of the energy (re as well [10]).

    Google Scholar 

  10. E. Fradkin, B.A. Huberman, S.M. Shenker, “Gauge Symmetries in Random Magnetic Systems”, preprint, 1978.

    Google Scholar 

  11. I.E. Dzyaloshinskii, Sov. Phys. — JETP Letts, 25, 98 (1977); (re as well [1]).

    ADS  Google Scholar 

  12. G.E. Volovik, V.P. Mineev, ZhETF, 72, 2256 (1977).

    MathSciNet  Google Scholar 

  13. J. A. Hertz, “Gauge Models for Spin Glasses”, preprint, 1978.

    Google Scholar 

  14. S.F. Edwards, P.W. Anderson, J. Phys., F7, 965 (1975).

    Article  ADS  Google Scholar 

  15. I.E. Dzyloshinskii, G.E. Volovik, “Poisson Brackets in Condensed Matter Physics”, preprint, 1979.

    Google Scholar 

  16. V.S. Dotsenko, G.E. Volovik, “Hydrodynamics of Disordered Superfluid He3”, J. de Phys., Letts, in press; V.V. Lebedev, I.M. Khalatnikov, ZhETF 75, 2313 (1978).

    Google Scholar 

  17. (16) is an infinitesimal limit of transformation (10).

    Google Scholar 

  18. A. Polyakov, JETP Letts., 20, 194 (1974), G. t’Hooft, Hucl. Phys. B79, 276 (1974).

    ADS  Google Scholar 

  19. D.C. Mattis, Phys. Letts, A56, 421 (1976).

    Article  ADS  Google Scholar 

  20. A.A. Migdal, Sov. Phys. JETP, 42, 743 (1975), as well as L.P. Kadanoff, Ann. Phys. (N.Y.), 91, 226 (1975).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Andrzej Pękalski Jerzy A. Przystawa

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Dzyaloshinskii, I.E. (1980). Macroscopic description of spin glasses. In: Pękalski, A., Przystawa, J.A. (eds) Modern Trends in the Theory of Condensed Matter. Lecture Notes in Physics, vol 115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120137

Download citation

  • DOI: https://doi.org/10.1007/BFb0120137

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09752-5

  • Online ISBN: 978-3-540-38628-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics