Skip to main content
Log in

Incommensurate magnetic structure in copper metaborate

  • Solids
  • Structure
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

Based on the experimental data on copper metaborate single crystals obtained in X-ray and neutron diffraction studies and heat capacity, magnetic susceptibility, and muon spin relaxation measurements, a phenomenological theory of the incommensurate magnetic structure of this crystal was developed. Considering the space group of the crystal, \(I\bar 4 2d\), Lifshits invariants were included into its thermodynamic potential. An analysis showed that magnetic structure formation at 10–20 K was dominated by the subsystem of copper spins in 4b unit cell sites. Below 10 K, the role played by the magnetic subsystem of copper spins in 8d unit cell sites in the formation of the magnetic structure of copper metaborate substantially increased. This caused a sharp increase in the wave vector of the incommensurate structure as temperature lowered. Numerical simulation of the temperature dependence of the wave vector of the helix and the heat capacity of the crystal gave a satisfactory description of the experimental data. This simulation was used to estimate the parameters of the phenomenological thermodynamic potential of the magnetic system of copper metaborate.

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. Yu. A. Izyumov, Neutron Diffraction on Long-Period Structures (Énergoatomizdat, Moscow, 1987).

    Google Scholar 

  2. I. E. Dzyaloshinskii, Zh. Éksp. Teor. Fiz. 47, 992 (1964) [Sov. Phys. JETP 20, 665 (1964)].

    Google Scholar 

  3. G. Petrakovskii, D. Velikanov, A. Vorotinov, et al., J. Magn. Magn. Mater. 205, 105 (1999).

    Article  ADS  Google Scholar 

  4. G. A. Petrakovskii, K. A. Sablina, D. A. Velikanov, et al., Kristallografiya 45, 926 (2000) [Crystallogr. Rep. 45, 853 (2000)].

    Google Scholar 

  5. A. I. Pankrats, G. A. Petrakovskii, and N. V. Volkov, Fiz. Tverd. Tela (St. Petersburg) 42, 93 (2000) [Phys. Solid State 42, 96 (2000)].

    Google Scholar 

  6. G. A. Petrakovskii, A. D. Balaev, and A. M. Vorotynov, Fiz. Tverd. Tela (St. Petersburg) 42, 313 (2000) [Phys. Solid State 42, 321 (2000)].

    Google Scholar 

  7. B. Roessli, J. Schefer, G. Petrakovskii, et al., Phys. Rev. Lett. 86, 1885 (2001).

    Article  ADS  Google Scholar 

  8. J. Schefer, B. Roessli, U. Staub, et al., PSI Sci. Rep. 3, 42 (1999).

    Google Scholar 

  9. O. V. Kovalev, Irreducible and Induced Representations and Corepresentations of the Fedorov Groups (Nauka, Moscow, 1986).

    Google Scholar 

  10. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge Univ. Press, Cambridge, 1952; Fizmatgiz, Moscow, 1962), Part 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 120, No. 4, 2001, pp. 926–932.

Original Russian Text Copyright © 2001 by Petrakovskii, Popov, Roessli, Ouladdiaf.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petrakovskii, G.A., Popov, M.A., Roessli, B. et al. Incommensurate magnetic structure in copper metaborate. J. Exp. Theor. Phys. 93, 809–814 (2001). https://doi.org/10.1134/1.1420450

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1420450

Keywords

Navigation