Skip to main content
Log in

Experiments with3He quasiparticles in the collisionless regime. I. A direct measurement of the Fermi velocity by heat conduction

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

Abstract

Measurements of the thermal conduction of liquid3He in the collisionless regime, where the mean free path of the thermal carriers is much greater than the channel diameter, allow a direct measurement of the carrier velocity. These experiments have been done using Vycor porous glass as the channel (average diameter ∼70 Å) at temperatures down to 16 mK. They show that the carrier velocity (∼43 m/sec) is that of quasiparticles rather than of bare3He atoms, whose velocity would be a factor of m*/m (∼3) greater, and thus confirm quite independently of any other measurement the validity of Landau quasiparticle theory. The data also strongly suggest a zero quasiparticle specular reflection coefficient, which allows an estimate to be made of the quasiparticle lifetime. This shows that the energy levels of quasiparticle states have a width more than ten times greater thankT at 20 mK. As an incidental result, a value for the low-temperature thermal conductivity of Vycor glass has been calculated.

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. A. A. Abrikosov and I. M. Khalatnikov,Rep. Progr. Phys. 32, 329 (1959).

    Google Scholar 

  3. J. C. Wheatley, inProgress in Low Temperature Physics, Vol. 6, C. J. Gorter, ed., (North-Holland, Amsterdam, 1970), Chapter 3.

    Google Scholar 

  4. V. J. Emery,Phys. Rev. 170, 205 (1968).

    Google Scholar 

  5. M. J. Rice,Phys. Rev. 162, 189 (1967).

    Google Scholar 

  6. W. R. Abel, R. T. Johnson, J. C. Wheatley, and W. Zimmermann,Phys. Rev. Lett. 18, 737 (1967).

    Google Scholar 

  7. D. F. Brewer, A. J. Symonds, and A. L. Thomson,Phys. Lett. 13, 298 (1968); D. F. Brewer and J. S. Rolt,Phys. Rev. Lett. 29, 1485 (1972).

    Google Scholar 

  8. A. J. Symonds, Doctoral Thesis, University of Sussex, 1965.

  9. D. S. Betts, D. F. Brewer, and R. S. Hamilton, inProc. 12th Int. Conf. Low Temp. Phys., Kyoto, 1970, p. 155.

  10. D. S. Betts, D. T. Edmonds, B. E. Keen, and P. W. Matthews,J. Sci. Instr. 41, 515 (1964).

    Google Scholar 

  11. I. J. Kirby and J. Wilks,J. Phys. C1, 555 (1968).

    Google Scholar 

  12. K. Andres and E. Bucher,J. Low Temp. Phys. 9, 267 (1972).

    Google Scholar 

  13. R. P. Hudson,Cryogenics 9, 76 (1969).

    Google Scholar 

  14. B. M. Abraham and Y. Eckstein,Phys. Rev. Lett. 24, 663 (1970).

    Google Scholar 

  15. R. A. Webb, R. P. Giffard, and J. C. Wheatley,Phys. Lett. 41A, 1 (1972);J. Low Temp. Phys. 13, 383 (1973).

    Google Scholar 

  16. K. J. Standley and R. A. Vaughan,Electron Spin Relaxation Phenomena in Solids (Adam Hilger, London, 1969).

    Google Scholar 

  17. A. H. Cooke, H. J. Duffus, and W. P. Wolf,Phil. Mag. 44, 623 (1953).

    Google Scholar 

  18. W. F. Saam and J. P. Laheurte,Phys. Rev. A 4, 1170 (1971).

    Google Scholar 

  19. J. P. Laheurte and J. R. G. Keyston,Cryogenics 11, 485 (1971).

    Google Scholar 

  20. I. D. Chapman and K. W. Hansen, Internal Report, Corning Glass Works, Corning, New York (1964).

  21. A. Pellew and R. V. Southwell,Proc. Roy. Soc. A176, 312 (1940).

    Google Scholar 

  22. R. B. Lazarus,Rev. Sci. Instr. 34, 1218 (1963).

    Google Scholar 

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

    Google Scholar 

  24. D. J. Creswell, D. F. Brewer, and A. L. Thomson,Phys. Rev. Lett. 29, 1144 (1972), and references therein.St. Andrews, 1968, Vol. 1, p. 125.

    Google Scholar 

  25. A. C. Anderson, G. L. Salinger, and J. C. Wheatley,Phys. Rev. Lett. 6, 443 (1961).

    Google Scholar 

  26. A. C. Anderson, J. I. Connolly, D. E. Vilches, and J. C. Wheatley,Phys. Rev. 147, 86 (1966).

    Google Scholar 

  27. W. R. Abel, A. C. Anderson, W. C. Black, and J. C. Wheatley,Phys. Rev. 147, 111 (1966).

    Google Scholar 

  28. A. C. Mota, R. P. Platzeck, R. Rapp, and J. C. Wheatley,Phys. Rev. 177, 266 (1969).

    Google Scholar 

  29. R. A. Fisher, G. E. Brodale, E. W. Horning, and W. F. Giaque,Rev. Sci. Instr. 39, 108 (1968).

    Google Scholar 

  30. D. F. Brewer and J. S. Rolt, inLow Temperature Physics LT-13 (Proc. 13th Int. Conf. Low Temp. Phys., 1972) (Plenum, New York, 1963); J. Baker, D. F. Brewer, and G. J. Butterworth, to be published.

    Google Scholar 

  31. V. J. Emery,Ann. of Phys. 28, 1 (1964); J. H. Luttinger,Phys. Rev. 174, 263 (1968); R. Balian and C. de Dominicis,Ann. of Phys. 62, 229 (1971); C. J. Pethick and G. M. Carneiro,Phys. Rev. A 7, 304 (1973).

    Google Scholar 

  32. D. Basmadjian and K. P. Chu,Can. J. Chem.,42, 956 (1964).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Betts, D.S., Brewer, D.F. & Hamilton, R.S. Experiments with3He quasiparticles in the collisionless regime. I. A direct measurement of the Fermi velocity by heat conduction. J Low Temp Phys 14, 331–347 (1974). https://doi.org/10.1007/BF00655338

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00655338

Keywords

Navigation