Skip to main content
Log in

Roton backflow and the temperature dependence of the static structure factor of superfluid4He

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

Abstract

The temperature dependence of the static structure factor of superfluid4He is given an interpretation in terms of the Feynman-Cohen picture of the elementary excitations by constructing the corresponding microscopic density matrix and including the effect of three-body terms. The required information on the ground-state wave function is taken over from configurations drawn from a Green's Function Monte Carlo computation. Correlations become stronger at finite temperatures in agreement with experiment. Backflow has only a modest effect onS(k, T).

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. For a review see H. R. Glyde and E. C. Svensson inMethods of Experimental Physics, Vol. 23B, p. 303, D. L. Price and K. Sköld (eds.), Academic, 1987.

  2. N. H. Robkoff, D. A. Ewen, and R. B. Hallock,Phys. Rev. Lett. 43, 2006 (1979); F. H. Wirth and H. B. Hallock,Phys. Rev. B 35, 89 (1987).

    Google Scholar 

  3. V. F. Sears and E. C. Svensson,Phys. Rev. Lett. 43, 2009 (1979); E. C. Svensson, V. F. Sears, A. D. B. Woods, and P. Martel,Phys. Rev. B 21, 3638 (1980).

    Google Scholar 

  4. F. W. Cummings, G. J. Hyland, and G. Rowlands,Phys. Kondens. Mater. 12, 90 (1970).

    Google Scholar 

  5. A. Griffin,Phys. Rev. B 22, 5193 (1980); G. V. Chester and L. Reatto,Phys. Rev. B 22, 5199 (1980); A. L. Fetter,Phys. Rev. B 23, 2425 (1981); F. W. Cummings, G. J. Hyland, and G. Rowlands,Phys. Lett. A 86, 370 (1981).

    Google Scholar 

  6. J. H. Root and E. C. Svensson,Physica B 169, 505 (1991).

    Google Scholar 

  7. C. De Michelis, G. L. Masserini, and L. Reatto,Phys. Lett. 66, 484 (1978).

    Google Scholar 

  8. G. Gaglione, G. L. Masserini, and L. Reatto,Phys. Rev. B 23, 1129 (1981).

    Google Scholar 

  9. R. P. Feynman and M. Cohen,Phys. Rev. 102, 1189 (1956).

    Google Scholar 

  10. S. Battaini and L. Reatto,Phys. Rev. B 28, 1263 (1983).

    Google Scholar 

  11. O. Penrose inProceedings of the Int. Conf. on Low Temperature Physics, J. R. Dillinger, ed. (University of Wisconsin Press, Madison, 1958), p. 117.

    Google Scholar 

  12. L. Reatto and G. V. Chester,Phys. Rev. 155, 88 (1967).

    Google Scholar 

  13. G. L. Masserini, L. Reatto, and S. A. Vitiello,Phys. Rev. Lett. 69, 2098 (1992).

    Google Scholar 

  14. W. Wu, S. A. Vitiello, L. Reatto, and M. H. Kalos,Phys. Rev. Lett. 67, 1446 (1991).

    Google Scholar 

  15. D. M. Ceperley and M. H. Kalos inMonte Carlo Methods in Statistical Physics, p. 145, K. Binder (ed.), Springer 19791 and 19862.

  16. M. H. Kalos, D. Levesque, and L. Verlet,Phys. Rev. A 9, 2178 (1974).

    Google Scholar 

  17. P. A. Whitlock, D. M. Ceperley, G. W. Chester, and M. H. Kalos,Phys. Rev. B 19, 5598 (1979).

    Google Scholar 

  18. D. M. Ceperley and G. V. Chester,Phys. Rev. A 15, 755 (1977).

    Google Scholar 

  19. Y. Rosenfeld and N. W. Ashcroft,Phys. Rev. A 20, 1208 (1979).

    Google Scholar 

  20. L. Oddi and L. Reatto,Nuovo Cimento D 11, 1679 (1989).

    Google Scholar 

  21. Q. N. Usmani, B. Friedman, and V. R. Pandharipande,Phys. Rev. B 25, 4502 (1982).

    Google Scholar 

  22. (a) R. M. Panoff and P. A. Whitlock inProceedings of the Workshop on Momentum Distributions, ed. by P. Sokol and R. Silver, Plenum Press, 1989

  23. K. E. Schmidt, M. H. Kalos, M. A. Lee, and G. W. Chester,Phys. Rev. Lett. 47, 578 (1980).

    Google Scholar 

  24. R. A. Aziz, V. P. S. Nain, J. S. Carley, W. Taylor, and G. T. McConville,J. Chem. Phys. 70, 4330 (1979).

    Google Scholar 

  25. T. C. Padmore and G. V. Chester,Phys. Rev. A 9, 1725 (1974).

    Google Scholar 

  26. W. G. Stirling and H. R. Glyde,Phys. Rev. B 41, 4224 (1990).

    Google Scholar 

  27. K. Bedell, D. Pines, and A. Zawadowski,Phys. Rev. B 29, 102 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Oddi, L., Whitlock, P.A. & Reatto, L. Roton backflow and the temperature dependence of the static structure factor of superfluid4He. J Low Temp Phys 92, 201–216 (1993). https://doi.org/10.1007/BF00682337

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00682337

Keywords

Navigation