Journal of Low Temperature Physics

, Volume 26, Issue 1–2, pp 165–191

Orbital dynamics of the Anderson-Brinkman-Morel phase of superfluid3He

  • M. C. Cross
Article

Abstract

The orbital dynamics of the Anderson-Brinkman-Morel (ABM) phase of helium 3 is studied in both the hydrodynamic and collisionless limits. The complete equations for the orbital motion in the hydrodynamic limit are written down and the important parameters are evaluated by simple arguments. In the collisionless limit the matrix kinetic equation, not including the dipole interaction or Fermi liquid corrections, is inverted exactly to give a form that explicitly displays the various collective modes possible. The existence of an intrinsic orbital angular momentum density of order θsħ(Tc/EF)2 and the “moment of intertia” term suggested by Leggett and Takagi is confirmed, and a physical understanding of their origin is given. However, in both collisionless and hydrodynamic limits the interaction with the normal fluid dominates the motion except very near zero temperature.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    P. W. Anderson and P. Morel,Phys. Rev. 123, 1911 (1961).Google Scholar
  2. 2.
    P. G. De Gennes,Phys. Lett. 44A, 271 (1973).Google Scholar
  3. 3.
    A. J. Leggett,Ann. Phys. 35, 11 (1974).Google Scholar
  4. 4.
    R. Balian and N. R. Werthamer,Phys. Rev. 131, 1553 (1963).Google Scholar
  5. 5.
    A. J. Leggett, private communication.Google Scholar
  6. 6.
    R. Graham,Phys. Rev. Lett. 33, 1431 (1974); R. Graham and H. Pleiner,Phys. Rev. Lett. 34, 792 (1975).Google Scholar
  7. 7.
    M. C. Cross,J. Low Temp. Phys. 21, 525 (1975).Google Scholar
  8. 8.
    P. C. Martin, O. Parodi, and P. S. Pershan,Phys. Rev. A 6, 2401 (1972).Google Scholar
  9. 9.
    K. Maki and H. Eibsawa,J. Low Temp. Phys. 22, 285 (1976).Google Scholar
  10. 10.
    A. J. Leggett,Rev. Mod. Phys. 47, 331 (1975).Google Scholar
  11. 11.
    P. W. Anderson and W. F. Brinkman, inThe Helium Liquids (Proceedings of the Fifteenth Scottish Universities Summer School in Physics), J. G. M. Armitage and I. E. Farquhar, eds. (Academic Press, London, 1975).Google Scholar
  12. 12.
    M. C. Cross and P. W. Anderson, inProc. 14th Int. Conf. Low Temp. Phys., M. Krusius and M. Vuorio, eds. (North-Holland, Amsterdam, 1975).Google Scholar
  13. 13.
    C. J. Pethick and H. Smith,Phys. Rev. Lett. 37, 226 (1976).Google Scholar
  14. 14.
    J. C. Wheatley, private communication.Google Scholar
  15. 15.
    O. Bethbeder-Matibet and P. Nozières,Ann. Phys. 51, 392 (1969); P. Wolfle,J. Low Temp. Phys. 22, 157 (1976).Google Scholar
  16. 16.
    A. J. Leggett and S. Takagi,Phys. Rev. Lett. 36, 1379 (1976).Google Scholar
  17. 17.
    B. R. Patton, inProc. 14th Int. Conf. Low Temp. Phys., M. Krusius and M. Vuorio, eds. (North-Holland, Amsterdam, 1975).Google Scholar
  18. 18.
    R. Combescot,Phys. Rev. Lett. 35, 1646 (1975).Google Scholar
  19. 19.
    P. Wolfle, inQuantum Statistics and the Many-Body Problem, S. B. Trickey, W. P. Kirk, and J. W. Duffy, eds. (Plenum Press, New York, 1975), p. 9.Google Scholar
  20. 20.
    J. W. Serene, Ph.D. Thesis, Cornell University (1974), unpublished.Google Scholar
  21. 21.
    G. E. Volovik,JETP Lett. 22, 198 (1975).Google Scholar
  22. 22.
    D. N. Paulson, M. Krusius, and J. C. Wheatley,Phys. Rev. Lett. 36, 1322 (1976).Google Scholar
  23. 23.
    N. D. Mermin and T.-L. Ho,Phys. Rev. Lett. 36, 594 (1976).Google Scholar
  24. 24.
    M. Combescot and R. Combescot,Phys. Rev. Lett. 37, 388 (1976).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • M. C. Cross
    • 1
  1. 1.Bell LaboratoriesMurray Hill

Personalised recommendations