Journal of Low Temperature Physics

, Volume 10, Issue 1–2, pp 59–68 | Cite as

Nuclear spin lattice relaxation rate in the excitonic state

  • Kazumi Maki
  • Nobuo Urata
Article

Abstract

The nuclear spin lattice relaxation rate in the excitonic state is studied. Use is made of the two-band model, where the Fermi radii of the electron band and the hole band are assumed to be of the same size. It is important to distinguish two cases; the spin singlet case (i.e., the nonmagnetic excitonic state) and the spin triplet case (i.e., the antiferromagnetic state). In the case of the spin singlet excitonic state the nuclear spin lattice relaxation rate first increases in the excitonic state just below the transition temperature and then decreases rapidly as the temperature decreases. In the case of the spin triplet excitonic state the relaxation rate depends on whether the nuclear spin is polarized parallel or perpendicular to the spin-density wave describing the excitonic state. In the parallel case the relaxation rate decreases monotonically in the excitonic state as the temperature decreases, while in the transverse case it has a small peak just below the transition temperature.

Keywords

Transition Temperature Relaxation Rate Small Peak Nuclear Spin Electron Band 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    D. Jérome, T. M. Rice, and W. Kohn,Phys. Rev. 158, 462 (1967).Google Scholar
  2. 2.
    J. Zittartz,Phys. Rev. 164, 575 (1968).Google Scholar
  3. 3.
    J. Zittartz,Phys. Rev. 165, 605 (1968);165, 612 (1968).Google Scholar
  4. 4.
    K. Maki and K. Nakanishi,J. Low Temp. Phys. 5, 55 (1971).Google Scholar
  5. 5.
    W. M. Lomer,Proc. Phys. Soc. (London)80, 489 (1962).Google Scholar
  6. 6.
    P. A. Fedders and P. C. Martin,Phys. Rev. 143, 245 (1966).Google Scholar
  7. 7.
    S. Mase and T. Sakai,J. Phys. Soc. Japan 31, 730 (1971).Google Scholar
  8. 8.
    H. Fukuyama and T. Nagai,Phys. Rev. B3, 4413 (1971);J. Phys. Soc. Japan 31, 812 (1971).Google Scholar
  9. 9.
    A. Shibatani,J. Phys. Soc. Japan 31, 1642 (1971).Google Scholar
  10. 10.
    K. Maki and M. Sakurai,Progr. Theoret. Phys. (Kyoto)47, 1110 (1972).Google Scholar
  11. 11.
    L. C. Hebel and C. P. Slichter,Phys. Rev. 113, 1504 (1959).Google Scholar
  12. 12.
    A. Griffin and V. Ambegaokar,Proceedings of the IXth International Conference on Low Temperature Physics (Plenum Press, New York, 1965), Part A, p. 524.Google Scholar
  13. 13.
    See, for example, A. A. Abrikosov, L. P. Gor'kov, and I. E. Dzyaloshinski,Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, N.J., 1963).Google Scholar
  14. 14.
    K. Maki, inSuperconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), Chap. 18.Google Scholar

Copyright information

© Plenum Publishing Corporation 1973

Authors and Affiliations

  • Kazumi Maki
    • 1
  • Nobuo Urata
    • 1
  1. 1.Department of PhysicsTohoku UniversitySendaiJapan

Personalised recommendations