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Ordering by quantum fluctuations in a strongly frustrated Heisenberg antiferromagnet

J. Appl. Phys. 69, 5200 (1991); doi:10.1063/1.348098

Issue Date: 15 April 1991

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A. B. Harris
Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104

A. J. Berlinsky
Institute for Materials Research, McMaster University, Hamilton, Ontario, L8S 4M1 Canada

C. Bruder
Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104
The nature of the ordering of a quantum spin-1/2 Heisenberg antiferromagnet is considered in the presence of the strong lattice frustration associated with the pyrochlore lattice. A field theory indicates that quantum fluctuations lead to a state having dimerization that has long-range static correlations not in <S> but rather in <S(rS(r+delta)>. A sublattice ordering is found that is consistent with results obtained using degenerate perturbation theory to analyze the ground-state manifold. Journal of Applied Physics is copyrighted by The American Institute of Physics.
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KEYWORDS and PACS

Keywords
PACS
  • 75.10.Jm
    Magnetic properties and materials General theory and models of magnetic ordering Quantized spin models
  • 75.25.+z
    Magnetic properties and materials Spin arrangements in magnetically ordered materials (including neutron and spin-polarized electron studies, synchrotron-source x-ray scattering, etc.)
  • 75.50.Ee
    Magnetic properties and materials Studies of specific magnetic materials Antiferromagnetics
  • YEAR: 1990-91

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PUBLICATION DATA

ISSN:
0021-8979 (print)   1089-7550 (online)
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REFERENCES (8)

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  1. For a recent treatment which uses a formalism similar to ours, see G. Baskaran, Phys. Rev. Lett. 63, 2524 (1989).
  2. V. Elser, Phys. Rev. Lett. 62, 2405 (1989).
  3. J. N. Reimers, J. E. Greedan, R. E. Kremer, E. Gmelin, and M. A. Subramanian, Phys. Rev. B 43, 3387 (1991).
  4. J. N. Reimers, A. J. Berlinsky, and A.-C. Shi, Phys. Rev. B 43, 865 (1991).
  5. P. W. Anderson, Phys. Rev. 102, 1008 (1956).
  6. J. A. Hertz, Phys. Rev. 14, 1165 (1976).
  7. The term Sigma<u,v>phiu(0)2phiv(0)2 does give rise to an effective quadratic coupling Sigma<u,v>phiu(0)phiv(0)<phib>2, which couples symmetric fluctuations on adjacent tetrahedra. These symmetric fluctuations are orthogonal to critical fluctuations such as those in Eq. (8).
  8. X. G. Wen, F. Wilczek, and A. Zee, Phys. Rev. B 39, 11 413 (1989).

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