Skip to main content
SpringerLink
Log in

Orientational quadrupolar glass in ortho-para hydrogen mixtures. I. Mean-field microscopic theory

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

Abstract

The mean-field theory of the quadrupolar glass (QG) is presented using a microscopic approach. It is shown that the reaction-polarization effects caused by short-range spatial correlations are well distinguished from those of random-bond spin glasses. They control the QG concentration threshold and result in an incomplete orientational order. The QG ground state (zero quadrupolization, unsaturated Edwards-Anderson-type orientational order parameter) is predicted. Thermodynamic characteristics, namely entropy, pressure and free energy as well as the related heat capacity and Grüneisen parameter are estimated. The ground-state findings (incomplete order, residual entropy) are similar to those of short-range Potts glasses. A correspondence between density matrix and mean field treatment to the QG problem is also discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. F. Silvera,Rev. Mod. Phys. 52, 393 (1980).

    Google Scholar 

  2. J. Van Kranendonk, Solid Hydrogen. Theory of Properties of Solid H2, HD, D2, Plenum Press, New York, 1983.

    Google Scholar 

  3. W. T. Cochran, J. R. Gaines, R. P. McCall, P. E. Socol, and B. R. Patton,Phys. Rev. Lett. 45, 1576 (1980).

    Google Scholar 

  4. H. Maletta, in: Excitations in Disordered System, Ed. M. F. Thorpe, Plenum Press (1982).

  5. N. S. Sullivan,J. Phys. (Paris)37, 981 (1976).

    Google Scholar 

  6. K. H. Fischer,Phys. Stat. Sol. (b)116, 357 (1983),ibid. 130, 13 (1985).

    Google Scholar 

  7. J. A. Mydosh, Spin Glasses, Taylor & Francis (1993).

  8. A. B. Harris and H. Meyer,Canad. J. Phys. 63, 3 (1985);ibid. 64, 890 (E) (1986).

    Google Scholar 

  9. H. Maletta,J. Phys. (Paris)Colloq. 41 C5, 115 (1980).

    Google Scholar 

  10. N. S. Sullivan, S. M. Edwards, Y. Lin, and D. Zhou,Canad. J. Phys. 65, 1463 (1987).

    Google Scholar 

  11. D. Zhou, S. M. Edwards, and N. S. Sullivan,Solid State Commun. 60, 90 (1986).

    Google Scholar 

  12. N. S. Sullivan, M. Devoret, B. P. Cowan, and C. Urbina,Phys. Rev. B 17, 5016 (1978).

    Google Scholar 

  13. U. T. Hochli, K. Knorr, and A. Loidl,Adv. in Phys. 39, 405 (1990).

    Google Scholar 

  14. M. Devoret and D. Esteve,J. Phys. C 16, 1827 (1988).

    Google Scholar 

  15. M. Klenin,Phys. Rev. B 28, 5199 (1983).

    Google Scholar 

  16. V. B. Kokshenev,Sol. State Commun. 44, 1593 (1982).

    Google Scholar 

  17. E. A. Luchinskaya, V. N. Rizov, and E. E. Tareeva,J. Phys. C 17, 665 (1984).

    Google Scholar 

  18. V. B. Kokshenev,Sol. State Commun. 55, 143 (1985).

    Google Scholar 

  19. V. A. Moskalenko, M. I. Vladimir, and S. P. Kozhukar', The Self-Consistent Field Method in Theory of Glass State of Spin and Quadrupole Systems (in Russian), Shtiintsa, Kishinev, 1990; V. A. Moskalenko, S. P. Kozhukar', and M. I. Vladimir,Teor. Mat. Fiz. 71, 417 (1987).

    Google Scholar 

  20. P. M. Goldbart and D. Sherrington,J. Phys. C 18, 95 (1985).

    Google Scholar 

  21. D. Chowdhury, Spin Glasses and Other Frustrated Systems, Princeton Yniversity Press, Princeton, N.J., 1986.

    Google Scholar 

  22. N. S. Sullivan, C. M. Edwards, and J. R. Brookerman,Mol. Cryst. Liq. Cryst. 139, 365 (1986).

    Google Scholar 

  23. V. B. Kokshenev and A. A. Litvin,Sov. J. Low Temp. Phys. 13, 195 (1987).

    Google Scholar 

  24. Y. Lin and N. S. Sullivan,Mol. Cryst. Liq. Cryst. 142, 141 (1987).

    Google Scholar 

  25. C. M. Edwards, D. Zhou, Y. Lin, and N. S. Sullivan,J. Low Temp. Phys. 72, 1 (1988).

    Google Scholar 

  26. N. S. Sullivan,Canad. J. Chem. 66, 908 (1988).

    Google Scholar 

  27. X. Li, H. Meyer, and A. J. Berlinsky,Phys. Rev. B 37, 3216 (1988).

    Google Scholar 

  28. V. B. Kokshenev and A. A. Litvin,Sov. J. Low Temp. Phys. 13, 246 (1987).

    Google Scholar 

  29. K. Walasek,Phys. Rev. B 46, 14 1480 (1992).

    Google Scholar 

  30. K. Walasek,Phys. Rev. B 51, 9314 (1995).

    Google Scholar 

  31. K. Binder and J. D. Reger,Adv. Phys. 41, 547 (1992).

    Google Scholar 

  32. V. B. Kokshenev,Phys. Stat. Sol. (b)164, 83 (1991).

    Google Scholar 

  33. T. K. Kopec,Phys. Rev. 48, 3698 (1993).

    Google Scholar 

  34. K. Walasek and K. Lukierska-Walasek,Phys. Rev. B 49, 9460 (1994).

    Google Scholar 

  35. K. Lukierska-Walasek and K. Walasek,Phys. Rev. B 50, 12 437 (1994).

    Google Scholar 

  36. V. B. Kokshenev,Sol. State Commun. 92, 587 (1994).

    Google Scholar 

  37. E. A. Luchinskaya and E. E. Tareeva,Tear. Mat. Fiz. 87, 669 (1991).

    Google Scholar 

  38. E. A. Luchinskaya and E. E. Tareeva,Teor. Mat. Fiz. 91, 438 (1992).

    Google Scholar 

  39. V. B. Kokshenev,Phys. Rev. B 53, 2191 (1996).

    Google Scholar 

  40. A. P. Isakina, V. B. Kokshenev, and A. I. Prokhvatilov,Sov. J. Low Temp. Phys. 13, 178 (1987).

    Google Scholar 

  41. A. B. Harris,Phys. Rev. B 2, 3495 (1970).

    Google Scholar 

  42. T. Yokota,Phys. Rev. B 51, 962 (1995).

    Google Scholar 

  43. D. J. Thouless, P. W. Anderson, and R. G. Palmer,Phyl. Mag. 35, 593 (1977).

    Google Scholar 

  44. R. M. White, Quantum Theory of Magnetism, Springer Series in Solid-State Sciences, Berlin-Heidelberg-New York, 1983.

    Google Scholar 

  45. D. G. Gross, I. Kanter, and H. Sompolinsky,Phys. Rev. Lett. 55, 304 (1985).

    Google Scholar 

Download references

Author information

Author notes

  1. V. B. Kokshenev

    Present address: Institute for Low Temperature Physics and Engineering of the Academy of Science of Ukraine, 310164, Kharkov, Ukraine

Authors and Affiliations

  1. ICEX, Departamento de Fisica, Universidade Federal de Minas Gerais, C.P. 702, CEP 30161-970, MG, Brazil

    V. B. Kokshenev

Authors
  1. V. B. Kokshenev
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kokshenev, V.B. Orientational quadrupolar glass in ortho-para hydrogen mixtures. I. Mean-field microscopic theory. J Low Temp Phys 104, 1–23 (1996). https://doi.org/10.1007/BF00754087

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00754087

Keywords

Search

Navigation