Skip to main content
Log in

Correlated Atomic Motion and Spin-Ordering in bcc 3He

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

Abstract

We propose a new way to treat the ordering of nuclear magnetism of solid 3He. We argue that the magnetic interaction arises indirectly as a consequence of correlated zero-point motion of the ions. This motion lowers the energy of the ground state, and results in a coherent state of oscillating electric dipoles. Distortion of the electronic wavefunctions leads to hyperfine magnetic interactions with the nuclear spin. Our model describes both the modification of the phonon spectra, localized modes (“vacancies”) and the nuclear magnetic ordering of bcc 3He using a single parameter, the correlated zero-point energy E 0. The model yields correctly both the u2d2 symmetry of the ordered phase and the volume dependence of the magnetic interaction. We calculate the magnetic excitations in the u2d2 phase, which compare well with the measured specific-heat, free energy and entropy. We also give a description of the nature of the high-field phase (HFP), and calculate some properties of the magnetic phase diagram.

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. M. Cross and D. Fisher, Rev. Mod. Phys. 57, 881 (1985).

    Google Scholar 

  2. M. Cross, Jap. J. App. Phys. 26, 1855 (1987).

    Google Scholar 

  3. W. P. Halperin, F. B. Rasmussen, C. N. Archie, and R. C. Richardson, J. Low Temp. Phys. 31, 617 (1978).

    Google Scholar 

  4. M. Roger, J. H. Hetherington, and J. M. Delrieu, Rev. Mod. Phys. 55, 1 (1983).

    Google Scholar 

  5. D. S. Greywall and P. A. Busch, Phys. Rev. B 36, 6853 (1987).

    Google Scholar 

  6. D. M. Ceperley and G. Jacucci, Phys. Rev. Lett. 58, 1648 (1987).

    Google Scholar 

  7. B. Cowan and M. Fardis, Low Temp. Phys. 23, 448 (1997).

    Google Scholar 

  8. J. DuBois and P. Kumar, J. Low Temp. Phys. 98, 37 (1995).

    Google Scholar 

  9. D. D. Osheroff and H. Godfrin, Phys. Rev. B 38, 4492 (1988).

    Google Scholar 

  10. N. Gov and E. Polturak, J. Low Temp. Phys. 121, 683 (2000).

    Google Scholar 

  11. N. Gov and E. Polturak, Phys. Rev. B 60, (1999) 1019.

    Google Scholar 

  12. K. Andres, Phys. Rev. B 7, 4295 (1973); K. Andres and E. Bucher, Phys. Rev. Lett. 21, 1221 (1968); S. A. Altshuler, JETP Lett. 3, 112 (1966); Y. Masuda and H. Suzuki, J. Low Temp. Phys. 75, 159 (1989).

    Google Scholar 

  13. H. R. Glyde, Excitations in Liquid and Solid Helium, Oxford Series on Neutron Scattering in Condensed Matter (1994).

  14. L. H. Nosanow Phys. Rev. 146, 120 (1966).

    Google Scholar 

  15. N. Gov, Phys. Rev. B 62, 910 (2000).

    Google Scholar 

  16. C. A. Burns and J. M. Goodkind, J. Low Temp. Phys. 95, 695 (1994).

    Google Scholar 

  17. T. Markovich, E. Polturak, J. Bossy, and E. Farhi, Phys. Rev. Lett. 88, 195301 (2002).

    Google Scholar 

  18. D. S. Greywall, Phys. Rev. A 3, 2106 (1971).

    Google Scholar 

  19. T. R. Kohler, Phys. Rev. Lett. 18, 654 (1967).

    Google Scholar 

  20. S. M. Heald, D. R. Baer, and R. O. Simmons, Phys. Rev. B 30, 2531 (1984).

    Google Scholar 

  21. D. S. Greywall, Phys. Rev. B 15, 2604 (1977).

    Google Scholar 

  22. I. Iwasa and H. Suzuki, J. Low Temp. Phys. 62, 1 (1986).

    Google Scholar 

  23. C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics, Vol. II (1977).

  24. R. F. Bishop, D. J. J. Farnell, S. E. Krueger, J. B. Parkinson, J. Richter, and C. Zeng, cond-mat/0011008.

  25. W. Vassen and W. Hogervorst, Phys. Rev. A 39, 4615 (1989).

    Google Scholar 

  26. H. Fukuyama, T. Okamoto, T. Fukuda, H. Akimoto, H. Ishimoto, and S. Ogawa, Phys. Rev. Lett. 67, 1274 (1991).

    Google Scholar 

  27. D. D. Osheroff, M. C. Cross, and D. S. Fisher, Phys. Rev. Lett. 44, 792 (1980).

    Google Scholar 

  28. A. Benoit, J. Bossy, J. Flouquet, and J. Schweizer, J. Phys. Lett. 46, L923 (1985).

    Google Scholar 

  29. P. W. Anderson, Concepts In Solids, W. A. Benjamin, New York (1963), pp. 132-148.

    Google Scholar 

  30. D. D. Osheroff and C. Yu, Phys. Lett. A 77, 458 (1980).

    Google Scholar 

  31. Z. Sun and J. H. Hetherington, J. Low Temp. Phys. 91, 299 (1993).

    Google Scholar 

  32. H. Fukuyama, H. Ishimoto, T. Tazaki, and S. Ogawa, Phys. Rev. B 36, 8921 (1987).

    Google Scholar 

  33. C. Kittel, Introduction to Solid State Physics, Wiley, New York (1976).

    Google Scholar 

  34. D. D. Osheroff, H. Godfrin, and R. Ruel, Phys. Rev. Lett. 58, 2458 (1987).

    Google Scholar 

  35. Y. P. Feng, P. Schiffer, J. Mihalisin, and D. D. Osheroff, Phys. Rev. Lett. 65, 1450 (1990).

    Google Scholar 

  36. Y. Sasaki, T. Matsushita, T. Mizusaki, and A. Hirai, Phys. Rev. B 44, 7362 (1991).

    Google Scholar 

  37. D. D. Osheroff, Physica B 109–110, 1461 (1982).

    Google Scholar 

  38. C. Domb and M. S. Green, Phase Transitions and Critical Phenomena, Academic Press, London, New York (1974), Vol. 3, p. 570.

    Google Scholar 

  39. H. Fukuyama et. al., Physica B 169, 197 (1991).

    Google Scholar 

  40. Y. Miura, N. Nishida, Y. Takano, H. Fukuyama, H. Ishimoto, S. Ogawa, T. Hata, and T. Shigi, Phys. Rev. Lett. 58, 381 (1987).

    Google Scholar 

  41. M. Roger and J. H. Hetherington, Phys. Rev. B 41, 200 (1990).

    Google Scholar 

  42. G. Baym, Lectures on Quantum Mechanics, Chap. 21, The Benjamin Cummings Publishing Company Inc., Reading, Massachusetts (1969).

    Google Scholar 

  43. M. Born and K. Huang, Dynamical Theory of Crystal Lattices, Oxford University Press (1954), p. 406.

  44. B. J. Dick and A. W. Overhauser, Phys. Rev. 112, 90 (1958).

    Google Scholar 

  45. N. W. Ashcroft and N. D. Mermin, Solid State Physics, Saunders College Publishing (1976).

  46. R. K. Patria, Statistical Mechanics, Pergamon Press, Oxford, England (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gov, N., Polturak, E. Correlated Atomic Motion and Spin-Ordering in bcc 3He. Journal of Low Temperature Physics 128, 55–85 (2002). https://doi.org/10.1023/A:1016347425877

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1016347425877

Keywords

Navigation