Skip to main content
Log in

Thermodynamics of spin ice in staggered and direct (along the [111] axis) fields in the cluster approximation

  • Order, Disorder, and Phase Transition in Condensed System
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

We have analyzed the low-temperature thermodynamic properties of spin ice in the staggered and direct (acting along the [111] axis) fields for rare-earth oxides with the chalcolamprite structure and general formula Re2 3+Me2 4+O7 2-. Calculations have been performed in the cluster approximation. The results have been compared with experimental temperature dependences of heat capacity and entropy for Dy2Ti2O7 compound for different values of the external field in the [111] direction. The experimental data and calculated results have also been compared for the Pr2Ru2O7 compound with the antiferromagnetic ordering of magnetic moments of ruthenium ions, which gives rise to the staggered field acting on the system of rare-earth ions. The calculated temperature dependences of heat capacity and entropy are in good agreement with experimental data.

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. M. J. Harris, S. T. Bramwell, D. F. McMorrow, et al., Phys. Rev. Lett. 79, 2554 (1997).

    Article  ADS  Google Scholar 

  2. A. P. Ramirez, A. Hayashi, R. J. Cava, et al., Nature 399, 333 (1999).

    Article  ADS  Google Scholar 

  3. S. T. Bramwell and M. J. P. Gingras, Science 294, 1495 (2001).

    Article  ADS  Google Scholar 

  4. M. J. P. Gingras, in Introduction to Frustrated Magnetism, Ed. by C. Lacroix, P. Mendels, and F. Mila (Springer, Berlin, 2011), p. 293.

  5. L. D. C. Jaubert, J. T. Chalker, P. C. W. Holdsworth, et al., Phys. Rev. Lett. 100, 0672007 (2008).

    Article  Google Scholar 

  6. P. N. Timonin, J. Exp. Theor. Phys. 113, 251 (2011).

    Article  ADS  Google Scholar 

  7. M. Tachibana, Y. Kohama, T. Atake, et al., J. Appl. Phys. 101, 09D502 (2007).

    Article  Google Scholar 

  8. N. Taira, M. Wakeshima, and Y. Hinatsu, J. Mater. Chem. 12, 1475 (2002).

    Article  Google Scholar 

  9. Z. Y. Zhao, S. Calder, and A. A. Aczel, Phys. Rev. B 93, 134426 (2016).

    Article  ADS  Google Scholar 

  10. E. H. Lieb and F. Y. Wu, in Phase Transitions and Critical Phenomena, Ed. by C. Domb and M. Green (Academic, New York, 1972), Vol. 1.

  11. V. G. Vaks, Introduction to the Microscopic Theory of Ferroelectrics (Nauka, Moscow, 1973), p. 120 [in Russian].

    Google Scholar 

  12. L. Pauling, J. Am. Chem. Soc. 57, 2680 (1935).

    Article  Google Scholar 

  13. Z. Hiroi, K. Matsuhira, and S. Takagi, J. Phys. Soc. Jpn. 72, 411 (2003).

    Article  ADS  Google Scholar 

  14. H. D. Zhou, C. R. Wiebe, and J. A. Janik, Phys. Rev. Lett. 101, 227204 (2008).

    Article  ADS  Google Scholar 

  15. C. Paulsen, S. R. Giblin, and E. Lhotel, Nat. Phys. (2016). doi 10.1038/nphys3704

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. I. Zinenko.

Additional information

Original Russian Text © V.I. Zinenko, M.S. Pavlovskii, 2017, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 151, No. 2, pp. 346–355.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zinenko, V.I., Pavlovskii, M.S. Thermodynamics of spin ice in staggered and direct (along the [111] axis) fields in the cluster approximation. J. Exp. Theor. Phys. 124, 295–303 (2017). https://doi.org/10.1134/S1063776117020182

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776117020182

Navigation