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Quantum Energy Gap in the S=1 Heisenberg Antiferromagnet NENP: Experimental Data and Haldane Conjecture

  • J. P. Renard
  • M. Verdaguer
  • L. P. Regnault
  • W. A. C. Erkelens
  • J. Rossat-Mignod
  • W. G. Stirling
Part of the NATO ASI Series book series (NSSB, volume 168)

Abstract

Since the early work of Ising [1], a lot of theoretical studies have been devoted to one-dimensional (1d) magnetism [2–6]. Recently, the interest for the 1d Heisenberg antiferromagnets (1d-HAF) with integer spin values has been renewed by Haldane [7] who predicted for these systems, an energy gap between the singlet ground state and the first excited states.

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References

  1. 1.
    E. Ising, Zeit. Phys. 31: 253 (1925).ADSCrossRefGoogle Scholar
  2. 2.
    See e.g. J. Bonner, L.J. De Jongh, W. Hatfield, J.P. Renard, and R.D. Willett in “Magneto-structural correlations in exchange-coupled systems, NATO ASI Series, 140, D. Gatteschi, O. Kahn, R.D. Willett ed., Reidel (1985).Google Scholar
  3. 3.
    L.J. De Jongh, and A.R. Miedema, Adv. Phys. 23: 1 (1974).ADSCrossRefGoogle Scholar
  4. 4.
    M. Steiner, J. Villain, and C.G. Windsor, Adv. Phys. 25: 87 (1976).ADSCrossRefGoogle Scholar
  5. 5.
    L.J. De Jongh in “Recent developments in condensed matter physics”, Vol. 1, J.T. Devreese ed., Plenum, 343 (1981).Google Scholar
  6. 6.
    See also C.P. Landee, J.P. Renard, M. Steiner in these proceedings.Google Scholar
  7. 7.
    F.D.M. Haldane, Phys. Lett. 93A: 464 (1983).ADSCrossRefGoogle Scholar
  8. F.D.M. Haldane, Phys. Rev. Lett. 50: 1153 (1983).ADSMathSciNetCrossRefGoogle Scholar
  9. 8.
    R. Botet, R. Jullien and M. Kolb, Phys. Rev. B 28: 3914 (1983).ADSCrossRefGoogle Scholar
  10. R. Botet and R. Jullien, Phys. Rev. B 27: 613 (1983).ADSCrossRefGoogle Scholar
  11. 9.
    J.B. Parkinson and J.C. Bonner, Phys. Rev. B 32: 4703 (1985).ADSCrossRefGoogle Scholar
  12. 10.
    M.P. Nightingale and H.W.J. Blöte, Phys. Rev. B 33: 659 (1986).ADSCrossRefGoogle Scholar
  13. 11.
    W.J.L. Buyers, R.M. Morra, R.L. Armstrong, M.J. Hogan, P. Gerlach and K. Hirakawa, Phys. Rev. Lett. 56: 371 (1986)ADSCrossRefGoogle Scholar
  14. 12.
    M. Steiner, K. Kakurai, J.K. Kjems, D. Petitgrand, and R. Pynn, private communication and these proceedings.Google Scholar
  15. 13.
    J.P. Renard, M. Verdaguer, L.P. Regnault, J. Rossat-Mignod, W.A.C. Erkelens, and W.G. Stirling, Europhys. Lett. 3: 945 (1987).ADSCrossRefGoogle Scholar
  16. 14.
    A. Meyer, A. Gleizes, J.J. Girerd, M. Verdaguer and O. Kahn, Inorg. Chem. 21: 1729 (1982).CrossRefGoogle Scholar
  17. 15.
    P. Beauvillain, C. Chappert and J.P. Renard, J. Phys. E, Sci. Instr., 18, 839 (1985).ADSCrossRefGoogle Scholar
  18. 16.
    J.P. Renard, S. Clément and T.V. Hiep, to be published.Google Scholar
  19. 17.
    W.A.C. Erkelens, L.P. Regnault, J. Rossat-Mignod, P.R. Nugteren, L.J. de Jongh and J.P. Renard, to be published.Google Scholar
  20. 18.
    J.X. Boucherle, P. Zang, W.A.C. Erkelens, L.P. Regnault, J. Rossat-Mignod and J.P. Renard, to be published.Google Scholar
  21. 19.
    M. Monfort, J. Ribas, X. Solans, M. Verdaguer, and J.P. Renard to be published in Inorg. Chem.Google Scholar

Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • J. P. Renard
    • 1
  • M. Verdaguer
    • 2
  • L. P. Regnault
    • 3
  • W. A. C. Erkelens
    • 3
    • 5
  • J. Rossat-Mignod
    • 3
  • W. G. Stirling
    • 4
  1. 1.Institut d’Electronique Fondamentale, CNRS UA 022Université Paris-SudOrsayFrance
  2. 2.Laboratoire de Spectrochimie des éléments de transition, CNRS UA 420Université Paris-SudOrsayFrance
  3. 3.Centre d’Etudes Nucléaires de GrenobleDRF/SPh-MDNGrenoble, CedexFrance
  4. 4.Institut Laue LangevinGrenoble, CedexFrance
  5. 5.Kamerlingh Onnes LaboratoryUniversity of LeidenThe Netherlands

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