Skip to main content
SpringerLink
Log in

First-principles theory of magnetically induced ferroelectricity in TbMnO3

  • Topical issue on Magnetoelectric Interaction Phenomena in Crystals
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We study the polarization induced via spin-orbit interaction by a magnetic cycloidal order in orthorhombic TbMnO3 using first-principle methods. The case of magnetic spiral lying in the b-c plane is analyzed, in which the pure electronic contribution to the polarization is shown to be small. We focus our attention on the lattice-mediated contribution, and study it’s dependence on the Coulomb interaction parameter U in the LDA+U method and on the wave-vector of the spin spiral. The role of the spin-orbit interaction on different sites is also analyzed.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. T. Kimura et al., Nature 426, 55 (2003)

    Article  ADS  Google Scholar 

  2. T. Lottermoser et al., Nature (London) 430, 541 (2004)

    Article  ADS  Google Scholar 

  3. N. Hur et al., Nature (London) 429, 392 (2004)

    Article  ADS  Google Scholar 

  4. G. Lawes et al., Phys. Rev. Lett. 95, 087205 (2005)

    Article  ADS  Google Scholar 

  5. S.-W. Cheong, M. Mostovoy, Nat. Mater. 6, 13 (2007)

    Article  ADS  Google Scholar 

  6. M. Mostovoy, Phys. Rev. Lett. 96, 067601 (2006)

    Article  ADS  Google Scholar 

  7. H. Katsura, N. Nagaosa, A.V. Balatsky, Phys. Rev. Lett. 95, 057205 (2005)

    Article  ADS  Google Scholar 

  8. I.A. Sergienko, E. Dagotto, Phys. Rev. B 73, 094434 (2006)

    Article  ADS  Google Scholar 

  9. G. Kresse, J. Furthmüller, Comput. Mater. Sci. 6, 15 (1996); G. Kresse, J. Furthmüller, Phys. Rev. B 54, 11169 (1996)

    Article  Google Scholar 

  10. P.E. Blöchl, Phys. Rev. B 50, 17953 (1994)

    Article  ADS  Google Scholar 

  11. G. Kresse, D. Joubert, Phys. Rev. B 59, 1758 (1999)

    Article  ADS  Google Scholar 

  12. D.M. Ceperley, B.J. Alder, Phys. Rev. Lett. 45, 566 (1980)

    Article  ADS  Google Scholar 

  13. S.H. Vosko, L. Wilk, M. Nusair, Can. J. Phys. 58, 1200 (1980)

    Article  ADS  Google Scholar 

  14. S.L. Dudarev et al., Phys. Rev. B 57, 1505 (1998)

    Article  ADS  Google Scholar 

  15. Y. Cui, C. Wang, B. Cao, Solid State Commun. 133, 641 (2005)

    Article  ADS  Google Scholar 

  16. R.D. King-Smith, D. Vanderbilt, Phys. Rev. B 47, 1651 (1993)

    Article  ADS  Google Scholar 

  17. J.A. Alonso et al., Inorg. Chem. 39, 917 (2000)

    Article  MathSciNet  Google Scholar 

  18. A. Malashevich, D. Vanderbilt, Phys. Rev. Lett. 101, 037210 (2008)

    Article  ADS  Google Scholar 

  19. H.J. Xiang, S.-H. Wei, M.-H. Whangbo, J.L.F. Da Silva, Phys. Rev. Lett. 101, 037209 (2008)

    Article  ADS  Google Scholar 

  20. E. Kroumova et al., Phase Transit. 76, 155 (2003)

    Article  Google Scholar 

  21. Y. Yamasaki et al., Phys. Rev. Lett. 98, 147204 (2007); Y. Yamasaki et al, Phys. Rev. Lett. 100, 219902(E) (2008)

    Article  ADS  Google Scholar 

  22. A.B. Harris, J. Appl. Phys. 99, 08E303 (2006)

    Article  Google Scholar 

  23. C.D. Hu, Phys. Rev. B 77, 174418 (2008)

    Article  ADS  Google Scholar 

  24. T. Kimura, Annu. Rev. Matter. Res. 37, 387 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, Rutgers University, Piscataway, NJ, 08854, USA

    A. Malashevich & D. Vanderbilt

Authors
  1. A. Malashevich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Vanderbilt
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Malashevich.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Malashevich, A., Vanderbilt, D. First-principles theory of magnetically induced ferroelectricity in TbMnO3 . Eur. Phys. J. B 71, 345–348 (2009). https://doi.org/10.1140/epjb/e2009-00208-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2009-00208-2

PACS

Search

Navigation