Skip to main content
Log in

Longitudinal and transverse spin diffusion in3He-4He solutions in a strong magnetic field

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

Abstract

Using pulsed NMR techniques, we have measured spin diffusion in3He-3He solutions with3He concentrations of 0.05%, 0.1%, 0.46%, 1.0%, 3.8% and 6.4% in a magnetic field of 8.8 Tesla for a temperature range 11 mK⩽ T ⩽ 200 mK. We observe that the temperature dependence of the transverse spin diffusion coefficient D1 deviates from that expected for an unpolarized Fermi liquid in the degenerate region in the 1.0%, 3.8% and 6.4% solutions. Moreover, by measuring both longitudinal and transverse spin diffusion coefficients in the 6.4%-mixture, we have verified experimentally the difference between them, and provided direct evidence for a field-induced anisotropy in spin diffusion. The results from the 0.05% and 0.1% solutions show agreement with the theory of Jeon and Mullin; however, no deviation of D1 from that expected in an unpolarized mixture was observed because the3He is not in the degenerate regime for these very dilute systems for the temperatures we could achieve. The analysis of our measurements in terms of the Leggett-Rice equations also yields values for the spin rotation parameter μM0. Using our results along with previous measurements at various3He concentrations, we deduce a value for the s-wave quasiparticle scattering length of a=−0.88 ± 0.05 Å.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. D. Landau,Soviet Phys. JETP 3, 920 (1957).

    Google Scholar 

  2. G. Baym and C. Pethick, inThe Physics of Liquid and Solid Helium, Part. II (eds. K. H. Bennemann and J. B. Ketterson, 1978).

  3. L. R. Corruccini, D. D. Osheroff, D. M. Lee, and R. C. Richardson,Phys. Rev, Lett. 27, 650 (1971).

    Google Scholar 

  4. A. C. Anderson, D. O. Edwards, W. R. Roach, R. E. Sarwinski, and J. C. Wheatley,Phys. Rev. Lett. 17, 367 (1966); L. R. Corruccini, D. D. Osheroff, D. M. Lee, and R. C. Richardson,J. Low Temp. 8, 229 (1972).

    Google Scholar 

  5. A. E. Meyerovich,Phys. Lett. A107, 177 (1985).

    Google Scholar 

  6. J. W. Jeon and W. J. Mullin,J. Low Temp. 49, 421 (1987);Phys. Rev. Lett. 62, 2691 (1989);J. Low Temp. Phys. 88, 433 (1992).

    Google Scholar 

  7. J. W. Jeon and W. J. Mullin,J. Phys. France 49, 1691 (1988) and references therein.

    Google Scholar 

  8. A. E. Meyerovich and K. A. Musaelian,J. Low Temp. Phys. 89, 781 (1992).

    Google Scholar 

  9. A. E. Meyerovich and K. A. Musaelian,J. Low Temp. 94, 249 (1994).

    Google Scholar 

  10. A. E. Meyerovich and K. A. Musaelian,J. Low Temp. Phys. 95, 789 (1994);Phys. Rev. Lett. 72, 1710 (1994).

    Google Scholar 

  11. J. R. Owers-Bradley, D. R. Wightman, A. Child, A. Bedford, and R. M. Bowley,J. Low Temp. Phys. 88, 221 (1992).

    Google Scholar 

  12. D. Candela, D. R. McAllaster, L.-J. Wei, and N. Kalechofsky,J. Low Temp. 89, 307 (1992); L.-J. Wei, N. Kalechofsky, and D. Candela,Phys. Rev. Lett 71, 879 (1993).

    Google Scholar 

  13. J. R. Owers-Bradley, A. Child, and R. M. Bowley,Physica B194–196, 903 (1994).

    Google Scholar 

  14. D. Candela, D. R. McAllaster, L.-J. Wei, and G. A. Vermeulen,Phys. Rev. Lett. 65, 595 (1990); D. Candela, D. R. McAllaster, and L.-J. Wei,Phys. Rev. B 44, 7510 (1991).

    Google Scholar 

  15. G. Nunes, C. Jin, D. L. Hawthorne, A. M. Putnam, and D. M. Lee,Phys. Rev. Lett. 65, 2149 (1990);Phys. Rev. B 46, 9082 (1992).

    Google Scholar 

  16. A. J. Leggett and M. J. Rice,Phys. Rev. Lett. 20, 586 (1968); A. J. Leggett,J. Phys. C: Solid State 3, 448 (1970).

    Google Scholar 

  17. J. H. Ager, R. M. Bowley, R. König, and J. R. Owers-Bradley,Phys. Rev. B 50, 13062 (1994).

    Google Scholar 

  18. G. Baym and C. Ebner,Phys. Rev. 164, 235 (1967).

    Google Scholar 

  19. See for example S. Yorozu, M. Hiroi, H. Fukuyama, H. Akimoto, H. Ishimoto, and S. Ogawa,J. Low Temp. 89, 493 (1992) and references therein.

    Google Scholar 

  20. H. Ishimoto, H. Fukuyama, T. Fukuda, T. Tazaki, and S. Ogawa,Phys. Rev. B 38, 6422 (1988).

    Google Scholar 

  21. J. R. Owers-Bradley, H. Chocholacs, R. M. Mueller, Ch. Buchai, M. Kubota, and F. Pobell,Phys. Rev. Lett. 51, 2120 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ager, J.H., Child, A., König, R. et al. Longitudinal and transverse spin diffusion in3He-4He solutions in a strong magnetic field. J Low Temp Phys 99, 683–708 (1995). https://doi.org/10.1007/BF00753558

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00753558

Keywords

Navigation