Journal of Low Temperature Physics

, Volume 100, Issue 3–4, pp 339–363 | Cite as

The solubility of spin-polarized3He in4He and the superfluidity of3He in3He-4He mixtures

  • Lars P. Roobol
  • Giorgio Frossati
  • Kevin S. Bedell
  • Alexander E. Meyerovich
Articles

Abstract

We investigate the possibility of a large enhancement of the T = 0 finite solubility of3He in4He due to spin-polarization. The size of the effect depends on the fraction of3He atoms in the system. We present two different approaches for the limits of a small and a large number of3He atoms compared to the number of4He atoms. Since the possible3He superfluid phase transition depends on3He density, we calculate the consequences of this change in the solubility for its superfluid transition temperature. It is shown that for small fractions of3He, the transition temperature is enhanced mostly due to the enlargement of the up-spin Fermi sphere. In the opposite limit the transition temperature is enhanced as a result of the increased3He solubility.

PACS

67.60.Fp 64.75.+g 67.75.+z 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. R. Owers-Bradley, H. Chocolacs, R. M. Mueller, C. Buchal, M. Kubota, and F. Pobell,Phys. Rev. Lett. 51, 2120 (1983).Google Scholar
  2. 2.
    H. Ishimoto, H. Fukuyama, N. Nishida, Y. Miura, Y. Takano, T. Fukuda, T. Tazaki, and S. Ogawa,J. Low Temp. Phys. 77, 133 (1989).Google Scholar
  3. 3.
    G. Oh, M. Nakagawa, H. Akimoto, O. Ishikawa, T. Hata, and T. Kodama,Physica B 165–166, 527 (1990).Google Scholar
  4. 4.
    R. König and F. Pobell,Phys. Rev. Lett. 71, 2761 (1993).Google Scholar
  5. 5.
    G.-H. Oh, Y. Ishimoto, T. Kawae, M. Nakagawa, O. Ishikawa, T. Hata, and T. Kodama,J. Low Temp. Phys. 95, 525 (1994).Google Scholar
  6. 6.
    P. Nacher, I. Shinkoda, P. Schleger, and W. Hardy,Phys. Rev. Lett. 67, 839 (1991).Google Scholar
  7. 7.
    L. P. Roobol, S. C. Steel, R. Jochemsen, G. Frossati, K. S. Bedell, and A. E. Meyerovich,Europhys. Lett. 17, 219 (1992).Google Scholar
  8. 8.
    G. A. Vermeulen,J. Low Temp. Phys. 94, 5 (1994).Google Scholar
  9. 9.
    G. Tastevin,J. Low Temp. Phys. 89, 317 (1992).Google Scholar
  10. 10.
    D. Candela, M. E. Hayden, and P. J. Nacher,Phys. Rev. Lett. 73, 2587 (1994).Google Scholar
  11. 11.
    J. Bardeen, G. Baym, and D. Pines,Phys. Rev. Lett. 17, 372 (1966).Google Scholar
  12. 12.
    P. G. van de Haar, G. Frossati, and K. S. Bedell,J. Low Temp. Phys. 77, 35 (1989).Google Scholar
  13. 13.
    K. S. Bedell and C. R. Sanchez-Castro,Phys. Rev. Lett. 57, 854 (1986).Google Scholar
  14. 14.
    C. R. Sanchez-Castro, K. S. Bedell, and S. A. J. Wiegers,Phys. Rev. B 40, 437453 (1989).Google Scholar
  15. 15.
    G. K. Walters and W. M. Fairbank,Phys. Rev. 103, 262 (1956).Google Scholar
  16. 16.
    D. O. Edwards, E. Ifft, and R. Sarwinski,Phys. Rev. 177, 380 (1969).Google Scholar
  17. 17.
    S. Yorozu, M. Hiroi, H. Fukuyama, H. Akimoto, H. Ishimoto, and S. Ogawa,Phys. Rev. B 45, 12942 (1992).Google Scholar
  18. 18.
    D. O. Edwards and J. G. Daunt,Phys. Rev. 124, 640 (1961).Google Scholar
  19. 19.
    P. Seligmann, D. O. Edwards, R. E. Sarwinski, and J. T. Tough,Phys. Rev. 181, 415 (1969).Google Scholar
  20. 20.
    D. O. Edwards, D. F. Brewer, P. Seligmann, M. Skertic, and M. Yaqub,Phys. Rev. Lett. 15, 773 (1965).Google Scholar
  21. 21.
    R. de Bruyn Ouboter and C. N. Yang,Physica B 144, 127 (1987).Google Scholar
  22. 22.
    K. Huang and C. N. Yang,Phys. Rev. 105, 767 (1957).Google Scholar
  23. 23.
    A. A. Abrikosov and I. M. Khalatnikov,Zh. Eksp. Tear. Fiz. 32, 1083 (1957), [Sov. Phys. JETP 5 (1957) 887].Google Scholar
  24. 24.
    J. H. Ager, R. M. Bowley, R. König, and J. R. Owers-Bradley,Phys. Rev. B 50, 13062 (1994).Google Scholar
  25. 25.
    E. P. Bashkin and A. E. Meyerovich,Adv. Phys. 30, 1 (1981).Google Scholar
  26. 26.
    G. Baym and C. J. Pethick,Landay Fermi-liquid theory (John Wiley and Sons, Inc., New York, 1991), (and references therein).Google Scholar
  27. 27.
    A. E. Meyerovich,Spin-Polarized Phases of 3He (North Holland, Amsterdam, 1990), W. P. Halperin and L. P. Pitaevskii, eds. (and references therein).Google Scholar
  28. 28.
    A. E. Meyerovich and K. A. Musaelian,Phys. Rev. Lett. 74, 1710 (1994).Google Scholar
  29. 29.
    L.-J. Wei, N. Kalenchofsky, and D. Candela,Phys. Rev. Lett. 71, 879 (1993).Google Scholar
  30. 30.
    J. Owers-Bradley, A. Child, and R. M. Bowley,Physica B194–196, 903 (1994).Google Scholar
  31. 31.
    H. Ramm, P. Pedroni, J. R. Thompson, and H. Meyer,J. Low Temp. Phys. 2, 539 (1970).Google Scholar
  32. 32.
    J. R. Thompson Jr., H. Ramm, J. F. Jarvis, and H. Meyer,J. Low Temp. Phys. 2, 521 (1970).Google Scholar
  33. 33.
    A. I. Ahonen, M. A. Paalanen, R. C. Richardson, and Y. Takano,J. Low Temp. Phys. 25, 733 (1976).Google Scholar
  34. 34.
    S. A. J. Wiegers, P. E. Wolff, and L. Puech,Phys. Rev. Lett. 66, 2895 (1991), [Commented by M. T. Béal-Monod and E. Daniel,Phys. Rev. Lett. 68 (1992) 3817].Google Scholar
  35. 35.
    B. Castaing and P. Nozières,J. Phys. (Paris) 40, 257 (1979).Google Scholar
  36. 36.
    S. A. J. Wiegers, C. C. Kranenburg, T. Hata, R. Jochemsen, and G. Frossati,Europhys. Lett. 10, 477 (1989).Google Scholar
  37. 37.
    F. Dalfovo and S. Stringari,J. Low Temp. Phys. 71, 311 (1988).Google Scholar
  38. 38.
    K. S. Bedell,Phys. Rev. Lett. 54, 1400 (1985).Google Scholar
  39. 39.
    K. S. Bedell and P. G. van de Haar,Europhys. Lett. 14, 469 (1991).Google Scholar
  40. 40.
    D. S. Greywall,Phys. Rev. B 33, 7520 (1986).Google Scholar
  41. 41.
    B. R. Patton and A. Zaringhalam,Physics. Lett. 55A, 95 (1975).Google Scholar
  42. 42.
    M. Y. Kagan and A. Chubukov,Sov. Phys. JETP 50, 517 (1989).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Lars P. Roobol
    • 1
  • Giorgio Frossati
    • 1
  • Kevin S. Bedell
    • 1
  • Alexander E. Meyerovich
    • 1
  1. 1.Kamerlingh Onnes LaboratoriumRijksuniversiteit LeidenRA LeidenThe Netherlands

Personalised recommendations