Skip to main content
SpringerLink
Log in

Calculation of Leggett–Takagi Relaxation in Vortices of Superfluid \(^{3}\)He-B

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

We calculate the relaxation of Brinkman–Smith mode via Leggett–Takagi relaxation in the presence of an isolated vortex in superfluid \(^{3}\)He-B. The calculation is based on an analytical solution of the order parameter far from the vortex axis. We obtain an expression for the dissipated power per vortex length as a function of the tipping angle of the magnetization and the orientation of the static magnetic field with respect to the vortex.

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

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. O.T. Ikkala, G.E. Volovik, P.J. Hakonen, Yu.M. Bunkov, S.T. Islander, and G.A. Kharadze, Pis’ma Zh. Eksp. Teor. Fiz. 35, 338 (1982) [JETP Lett. 35, 416 (1982)]

  2. E.V. Thuneberg, Phys. Rev. B 36, 3583 (1987)

    Article  ADS  Google Scholar 

  3. P.J. Hakonen, M. Krusius, M.M. Salomaa, R.H. Salmelin, J.T. Simola, A.D. Gongadze, G.E. Vachnadze, G.A. Kharadze, J. Low Temp. Phys. 76, 225 (1989)

    Article  ADS  Google Scholar 

  4. W.F. Brinkman, H. Smith, Phys. Lett. A 53, 43 (1975)

    Article  ADS  Google Scholar 

  5. Y. Kondo, J.S. Korhonen, M. Krusius, V.V. Dmitriev, Y.M. Mukharsky, E.B. Sonin, G.E. Volovik, Phys. Rev. Lett. 67, 81 (1991)

    Article  ADS  Google Scholar 

  6. A.J. Leggett, S. Takagi, Ann. Phys. 106, 79 (1977)

    Article  ADS  Google Scholar 

  7. D. Vollhardt, P. Wölfle, The Superfluid Phases of Helium 3 (Taylor & Francis, London, 1990)

    MATH  Google Scholar 

  8. E.V. Thuneberg, J. Low Temp. Phys. 122, 657 (2001)

    Article  ADS  Google Scholar 

  9. M. Fogelström, J. Kurkijärvi, J. Low Temp. Phys. 98, 195 (1995)

    Article  ADS  Google Scholar 

  10. M.A. Silaev, E.V. Thuneberg, M. Fogelström, Phys. Rev. Lett. 115, 235301 (2015)

    Article  ADS  Google Scholar 

  11. Y. Hasegawa, Prog. Theor. Phys. 73, 1258 (1985)

    Article  ADS  Google Scholar 

  12. Y.M. Bunkov, V.V. Dmitriev, A.V. Markelov, Y.M. Mukharskii, D. Einzel, Phys. Rev. Lett. 65, 867 (1990)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

We thank the Academy of Finland and Tauno Tönning foundation for financial support.

Author information

Authors and Affiliations

  1. Department of Physics, University of Oulu, Oulu, Finland

    S. M. Laine & E. V. Thuneberg

Authors
  1. S. M. Laine
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. V. Thuneberg
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Laine, S.M., Thuneberg, E.V. Calculation of Leggett–Takagi Relaxation in Vortices of Superfluid \(^{3}\)He-B. J Low Temp Phys 183, 222–229 (2016). https://doi.org/10.1007/s10909-016-1516-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-016-1516-x

Keywords

Search

Navigation