Skip to main content
Log in

Predicted spin-orbit coupling effect on the magnetic ordering of crystalline uranium dioxide

  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

The magnetic ordering of fluorite structure uranium dioxide has been investigated using fully-relativistic linear combinations of Gaussian type orbitals - fitting function (LCGTO-FF) calculations, within the generalized gradient approximation (GGA) to density functional theory. Three types of collinear spin-orderings were considered; ferromagnetic with spins aligned in the (001) direction and two antiferromagnetic (001) layer structures with spins aligned either perpendicular to each plane (001) or parallel to each plane (100). For each ordering, the total energy and spin-moment were calculated both with and without spin-orbit coupling. The ferromagnetic ordering is found to be energetically preferred to the antiferromagnetic orderings, contrary to experiment, whether or not spin-orbit coupling is included. Spin-orbit coupling is shown to have a significant quenching effect on the spin-moment and also introduces a strong magnetic anisotropy in the antiferromagnetic state that favors the (001) alignment over the (100) alignment.

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.J. Arko, D.D. Koelling, A.M. Boring, W.P. Ellis, L.E. Cox, J. Less-Common Metals 122, 95 (1986)

    Article  Google Scholar 

  2. L.E. Cox, W.P. Ellis, R.D. Cowan, J.W. Allen, S.J. Oh, I. Lindau, B.B. Pate, A.J. Arko, Phys. Rev. B 35, 5761 (1987)

    Article  Google Scholar 

  3. Y. Baer, J. Schoenes, Sol. State Comm. 33, 885 (1980)

    Article  Google Scholar 

  4. F. Jollet, T. Petit, S. Gota, N. Thromat, M. Gautier-Soyer, A. Pasturel, J. Phys. Condens. Matter 9, 9393 (1997)

    Google Scholar 

  5. A. Kotani, T. Yamazaki, Prog. Theo. Phys. Suppl. 108, 117 (1992)

    Google Scholar 

  6. N.F. Mott, Metal-Insulator Transitions (Taylor and Francis, London, 1974)

  7. J. Hubbard, Proc. Roy. Soc. (London) A 276, 238 (1963)

    Google Scholar 

  8. J. Faber, G.H. Lander, Phys. Rev. B 14, 1151 (1976)

    Google Scholar 

  9. R. Caciuffo, G. Amoretti, P. Santini, G.H. Lander, J. Kulda, P. de V. Du Plessis, Phys. Rev. B 59, 13892 (1999)

    Google Scholar 

  10. K. Ikushima, S. Tsutsui, Y. Haga, H. Yasuoka, R.E. Walstedt, N.M. Masaki, A. Nakamura, S. Nasu, Y. Onuki, Phys. Rev. B 63, 104404 (2001)

    Google Scholar 

  11. P. Hohenberg, W. Kohn, Phys. Rev. B 136, 864 (1964)

    Article  Google Scholar 

  12. W. Kohn, L.J. Sham, Phys. Rev. A 140, 1133 (1965)

    Article  Google Scholar 

  13. P.J. Kelly, M.S.S. Brooks, J. Phys. C: Solid State Phys. 13, L939 (1980)

  14. M.S.S. Brooks, P.J. Kelly, Solid State Comm. 45, 689 (1983)

    Google Scholar 

  15. P.J. Kelly, M.S.S. Brooks, J. Chem. Soc., Faraday Trans. 83, 1189 (1987)

    Google Scholar 

  16. T. Petit, B. Morel, C. Lemaignan, A. Pasturel, B. Bigot, Phil. Mag. B 73, 893 (1996)

    Google Scholar 

  17. S.L. Dudarev, D. Nguyen Manh, A.P. Sutton, Phil. Mag. B 75, 613 (1997)

    Google Scholar 

  18. S.L. Dudarev, G.A. Botton, S.Y. Sasarov, Z. Szotek, W.M. Temmerman, A.P. Sutton, Phys. Stat. Solid (a) 166, 429 (1998)

    Article  Google Scholar 

  19. J.C. Boettger, A.K. Ray, Internat. J. Quantum Chem. 80, 824 (2000)

    Article  Google Scholar 

  20. J.C. Boettger, A.K. Ray, Internat. J. Quantum Chem. 90, 1407 (2002)

    Google Scholar 

  21. L. Hedin, B.I. Lundqvist, J. Phys. C 4, 2064 (1971)

    Article  Google Scholar 

  22. J.P. Perdew, in Electronic Structure of Solids, edited by P. Ziesche, H. Eschrig (Academic Verlag, Berlin, 1991), pp. 11-20

  23. V.I. Anisimov, J. Zaanen, O.K. Andersen, Phys. Rev. B 44, 943 (1991)

    Article  Google Scholar 

  24. J.C. Boettger, Phys. Rev. B 57, 8743 (1998)

    Google Scholar 

  25. J.C. Boettger (unpublished)

  26. M.D. Jones, J.C. Boettger, R.C. Albers, D.J. Singh, Phys. Rev. B 61, 4644 (2000)

    Article  Google Scholar 

  27. J.C. Boettger, Phys. Rev. B 62, 7809 (2000)

    Article  Google Scholar 

  28. J.C. Boettger, Int. J. Quantum Chem. Symp. 27, 147 (1993)

    Google Scholar 

  29. U. Birkenheuer, J.C. Boettger, N. Rösch, J. Chem. Phys. 100, 6826 (1994)

    Article  Google Scholar 

  30. J.C. Boettger, Int. J. Quantum Chem. Symp. 29, 197 (1995)

    Google Scholar 

  31. M. Douglas, N.M. Kroll, Ann. Phys. 82, 89 (1974)

    Google Scholar 

  32. B.A. Hess, Phys. Rev. A 33, 3742 (1986)

    Article  Google Scholar 

  33. N. Rösch, O.D. Häberlen, J. Chem. Phys. 96, 6322 (1992)

    Article  Google Scholar 

  34. M. Mayer, S. Krüger, N. Rösch, J. Chem. Phys. 115, 4411 (2001)

    Article  Google Scholar 

  35. T. Minami, O. Matsuoka, Theo. Chim. Acta 90, 27 (1995)

    Google Scholar 

  36. F.B. van Duijneveldt, IBM Research Report RJ945, unpublished (1971)

  37. CRC Handbook of Chemistry and Physics, 3rd electronic edn., edited by D.R. Lide (CRC Press, Inc., Boca Raton, 2001)

  38. A.B. Alchagirov, J.P. Perdew, J.C. Boettger, R.C. Albers, C. Fiolhais, Phys. Rev. B 63, 224115 (2001)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. C. Boettger.

Additional information

Received: 9 August 2003, Published online: 19 November 2003

PACS:

71.15.Rf Relativistic effects - 75.25. + z Spin arrangements in magnetically ordered materials (including neutron and spin-polarized electron studies, synchrotron-source X-ray scattering, etc.) - 75.50.Ee Antiferromagnetics - 75.30.Gw Magnetic anisotropy - 64.30. + t Equations of state of specific substances

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boettger, J.C. Predicted spin-orbit coupling effect on the magnetic ordering of crystalline uranium dioxide. Eur. Phys. J. B 36, 15–20 (2003). https://doi.org/10.1140/epjb/e2003-00312-3

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2003-00312-3

Keywords

Navigation