Advertisement

The Landau-Lifshitz-Bloch Equation for Quantum Spin

  • P. NievesEmail author
  • D. Serantes
  • O. Chubykalo-Fesenko
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 159)

Abstract

The Landau-Lifshitz-Bloch equation provides a micromagnetic framework for large-scale modeling of the ultrafast magnetization dynamics in ferromagnets. Here we present a detailed discussion of the LLB equation with a quantum spin number S. As an example, we present our recently numerical results of the ultrafast demagnetization dynamics in FePt thin films.

Keywords

Spin Dynamic Quantum Version Quantum Spin Number Hubbard Operator Reduce Planck Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

Acknowledgments

The authors would like to acknowledge the Femtospin project from European Community and the Spanish grant FIS2010-20979-C02-02 from Ministry of Science and Innovation.

References

  1. 1.
    D. A. Garanin, “Fokker-Planck and Landau-Lifshitz-Bloch equations for ferromagnets” Phys. Rev. B. 55, 3050-3057 (1997).Google Scholar
  2. 2.
    B. Koopmans et al, “ Explaining the paradoxical diversity of ultrafast laser-induced demagnetization” Nature Mat. 9, 259-265 (2010).Google Scholar
  3. 3.
    U. Atxitia and O.Chubykalo-Fesenko, “Ultrafast magnetization dynamics rates within the Landau-Lifshitz-Bloch model” Phys. Rev. B. 84, 144414 (2011).Google Scholar
  4. 4.
    D. A. Garanin, “Generalized equation of motion for a ferromagnet.” Physica A 172, 470-491 (1991).Google Scholar
  5. 5.
    D. A. Garanin, “Integral relaxation time of single-domain ferromagnetic particles” Phys. Rev. E, 54, 3250-3256 (1996).Google Scholar
  6. 6.
    O. Chubykalo-Fesenko et al, “Dynamic approach for micromagnetics close to the Curie temperature” Phys. Rev. B. 74, 94436-(5) (2006).Google Scholar
  7. 7.
    P. Nieves et al, to be published.Google Scholar
  8. 8.
    U. Atxitia et al, “Landau-Lifshitz-Bloch equation for ferrimagnetic materials” Phys. Rev. B. 86, 104414 (2012).Google Scholar
  9. 9.
    P. Nieves et al, to be published.Google Scholar
  10. 10.
    J. Mendil et al, to be published.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Instituto de Ciencia de Materiales de Madrid, CSIC, CantoblancoMadridSpain

Personalised recommendations