Journal of Low Temperature Physics

, Volume 89, Issue 3–4, pp 429–432 | Cite as

Depression of the superfluid transition in4He

  • R. Haussmann
  • V. Dohm
Papers Based On Poster Presentations

Abstract

We study superfluid4He near Tλ in a homogeneous metastable state where a finite superfluid velocity vs is present. Neglecting vortices we perform a renormalization-group calculation of the critical velocity vsc(T) at which the superfluid state becomes unstable. We apply this result to the situation where the superfluid velocity is induced by a finite heat current Q. A critical heat current Qc(T) corresponding to vsc(T) is found which implies a transition temperature Tλ (Q)=Tλ[1−AoQx]. We determine the exact exponent x=[(d−1)v] −1 ≈0.744 in d=3 dimensions and calculate Ao in one-loop order. Our results for Ao and x are compared with recent experimental data.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    W.F. Vinen, inLiquid Helium, Proceedings of the Enrico Fermi International School of Physics, Course XXI, edited by G. Careri. (Academic, New York, 1963), p. 336.Google Scholar
  2. 2.
    J.S. Langer and J.D. Reppy, inProgress in Low Temperature Physics, edited by C.J. Gorter, (North Holland, Amsterdam, 1970), Vol.VI., p. 1.Google Scholar
  3. 3.
    J.S. Langer and M.E. Fisher, Phys. Rev. Lett.19, 560 (1967).Google Scholar
  4. 4.
    L. Kramer, Phys. Rev.179, 149 (1969).Google Scholar
  5. 5.
    R. Haussmann and V. Dohm, Phys. Rev. B, to be published.Google Scholar
  6. 6.
    H.J. Mikeska, Phys. Rev.179, 166 (1969).Google Scholar
  7. 7.
    R. Haussmann, J. Low Temp. Physics, to be published.Google Scholar
  8. 8.
    R.V. Duncan, G. Ahlers, and V. Steinberg, Phys. Rev. Lett.60, 1522 (1988).Google Scholar
  9. 9.
    R.J. Clow and J.D. Reppy, Phys. Rev. Lett.19, 291 (1967).Google Scholar
  10. 10.
    R. Haussmann and V. Dohm, Phys. Rev. Lett.67, 3404 (1991).Google Scholar
  11. 11.
    V. Dohm, Phys. Rev.B 44, 2697 (1991)Google Scholar
  12. 12.
    D. Frank and V. Dohm, Z. Phys.B 84, 443 (1991); R. Haussmann and V. Dohm, Z. Phys.B 87, 229 (1992).Google Scholar
  13. 13.
    B.I. Halperin, P.C. Hohenberg, and E.D. Siggia, Phys. Rev.B 13, 1299 (1976); V. Dohm, Z. Phys.B 61, 193 (1985).Google Scholar
  14. 14.
    A. Onuki, J. Low Temp, Phys.55, 309 (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • R. Haussmann
    • 1
  • V. Dohm
    • 1
  1. 1.Institut für Theoretische PhysikTechnische Hochschule AachenAachenGermany

Personalised recommendations