Consequences of Exchange in Low-Dimensional Compounds: High Temperature Spin Dynamics as Sampled by Magnetic Resonance

  • Peter M. Richards
Part of the Nato Advanced Study Institutes Series book series (NSSB, volume 7)


The isotropic exchange interaction 2JSi Sjbetween a pair of spins i and j has several consequences as it forms the dominant “glue” of interaction which makes the system of 1022 or so spins a strongly coupled one rather than a collection of independent paramagnetic particles. One may roughly divide the effects of J into static and dynamic ones, as can be seen from a simple consideration of two spins only, each with S =1/2 For antiferromagnetic coupling (J > 0 in our notation) the antiparallel (singlet) arrangement is lower in energy than the parallel (triplet) alignment by an amount 2J(1/4) − 2J(-3/4) = 2J. As a consequence the spins will tend to align antiparallel at a sufficiently low temperature T ~ 2J/kB. This effect is the root of static properties such as the magnetic susceptibility which will be discussed by Professor Gerstein in subsequent lectures.


Electron Spin Resonance Line Shape Spin Dynamic Cutoff Time Time Correlation Function 
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References Cited

  1. 1.
    R. J. Birgeneau, J. Skalyo, Jr., and G. Shirane, Phys. Rev. B3, 1736 (1971).CrossRefGoogle Scholar
  2. 2.
    M. T. Hutchings, G. Shirane, R. J. Birgeneau, and S. L. Holt, Phys. Rev. B5, 1999 (1972).Google Scholar
  3. 3.
    Y. Endoh, G. Shirane, R. J. Birgeneau, P. M. Richards and S. L. Holt, Phys. Rev. Lett. 32, 170 (1974).CrossRefGoogle Scholar
  4. 4.
    Text Ti, pp. 501-506; Text T2, pp. 205-211; Review R1.Google Scholar
  5. 5.
    R. Kubo and K. Tornita, J. Phys. Soc. Japan 9, 888 (1954).CrossRefGoogle Scholar
  6. 6.
    Review R1.Google Scholar
  7. 7.
    G. F. Reiter and J. P. Boucher, “On the Theory of Exchange Narrowing in One and Two Dimensions,” to be published.Google Scholar
  8. 8.
    T. Morita, J. Math Phys. 12, 2062 (1971); A. C. Cook, Ph.D. Thesis, University of Kansas (1972, unpublished).Google Scholar
  9. 9.
    J. E. Gulley, D. Hone, D. J. Scalapino, and B. G. Silbernagel, Phys. Rev. B1, 1020 (1970).CrossRefGoogle Scholar
  10. 10.
    Reviews R2-RT.Google Scholar
  11. 11.
    R. E. Dietz, F. R. Merritt, R. Dingle, D. Hone,Google Scholar
  12. B. G. Silbernagel, and P. M. Richards, Phys. Rev. Lett. 26, 1186 (1971).CrossRefGoogle Scholar
  13. 12.
    R. R. Bartkowski and B. Morosin, Phys. Rev. B6, 4209 (1972).CrossRefGoogle Scholar
  14. 13.
    P. M. Richards and M. B. Salamon, Phys. Rev. B9, 32 (1974).CrossRefGoogle Scholar
  15. 14.
    R. Dingle, M. E. Lines, and S. L. Holt, Phys. Rev. 187, 643 (1969).CrossRefGoogle Scholar
  16. 15.
    K. Nagata and Y. Tazuke, J. Phys. Soc. Japan 32, 337 (1972).CrossRefGoogle Scholar
  17. 16.
    Z. G. Soos, J. Chem. Phys. 44, 1729 (1966).CrossRefGoogle Scholar
  18. 17.
    M. J. Hennessy, C. D. McElwee, and P. M. Richards, Phys. Rev. B7, 930 (1973).CrossRefGoogle Scholar
  19. 18.
    G. F. Reiter, Phys. Rev. B8, 5311 (1973).CrossRefGoogle Scholar
  20. 19.
    J. P. Boucher, F. Ferrieu, and M. Nechtschein, Phys. Rev. B9, 3871 (1974).CrossRefGoogle Scholar
  21. 20.
    W. Duffy, Jr., J. E. Venneman, D. L. Standburg and P. M. Richards, Phys. Rev. B9, 2220 (1974).Google Scholar
  22. 21.
    T. Oguchi, Phys. Rev. 133, A1098 (1964).CrossRefGoogle Scholar
  23. 22.
    R. C. Hughes, B. Morosin, P. M. Richards, and W. Duffy, Jr., “ESR and Structure of Magnetically Inequivalent Chains in CuCl2.2NC5H5, ” to be published.Google Scholar
  24. 23.
    P. M. Richards, “Critical Temperatures of Heisenberg Magnets by Second-Order Green Function Theory...,” Phys. Rev. B, to be published.Google Scholar
  25. 24.
    Review R5.Google Scholar
  26. 25.
    J. Skalyo, Jr., G. Shirane, S. A. Friedberg, and H. Kobayashi, Phys. Rev. B2, 4632 (1970).CrossRefGoogle Scholar
  27. 26.
    T. Z. Huang and Z. G. Soos, Phys. Rev. B9, 4981 (1974).CrossRefGoogle Scholar
  28. 27.
    F. Borsa and M. Mali, Phys. Rev. B9, 2215 (1974).CrossRefGoogle Scholar
  29. 28.
    M. Ahmed-Bakheit, Y. Barjhoux, F. Ferrieu, M. Nechtschein, and J. P. Boucher, Solid State Commun. 15, 25 (1974).CrossRefGoogle Scholar
  30. 29.
    M. Villa, G. Bonera, and F. Borsa, “Proton Spin-Lattice Relaxation in the Rotating Frame in TMMC...,” to be published.Google Scholar
  31. 30.
    P. M. Richards, K. A. Muller, H. R. Boesch, and F. Waldner, “ESR in a Two-Dimensional Compound with Appreciable Inter-plane Coupling: NaCrS2,” Phys. Rev. B, to be published.Google Scholar
  32. 31.
    K. W. Blazey and H. Rohrer, Phys. Rev. 185, 712 (1969).CrossRefGoogle Scholar
  33. 32.
    See references contained in Ref. 33.Google Scholar
  34. 33.
    N. A. Lurie, D. L. Huber, and M. Blume, Phys. Rev. B9, 2171 (1974).CrossRefGoogle Scholar
  35. 34.
    P. M. Richards, R. K. Quinn, and B. Morosin, J. Chem. Phys. 59, 4474 (1973).CrossRefGoogle Scholar
  36. 35.
    Review R3.Google Scholar

Copyright information

© Springer Science+Business Media New York 1975

Authors and Affiliations

  • Peter M. Richards
    • 1
  1. 1.Sandia Laboratories AlbuquerqueNew MexicoUSA

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