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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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(r)·S(r+
)
. 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.
S
but rather in
S(r)·S(r+
)
. 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
- 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
RELATED DATABASES
PUBLICATION DATA
0021-8979 (print)
1089-7550 (online)
REFERENCES (8)
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- For a recent treatment which uses a formalism similar to ours, see G. Baskaran, Phys. Rev. Lett. 63, 2524 (1989).
- V. Elser, Phys. Rev. Lett. 62, 2405 (1989).
- J. N. Reimers, J. E. Greedan, R. E. Kremer, E. Gmelin, and M. A. Subramanian, Phys. Rev. B 43, 3387 (1991).
- J. N. Reimers, A. J. Berlinsky, and A.-C. Shi, Phys. Rev. B 43, 865 (1991).
- P. W. Anderson,
Phys. Rev. 102, 1008 (1956 ). - J. A. Hertz, Phys. Rev. 14, 1165 (1976).
- The term

u,v
u(0)2
v(0)2 does give rise to an effective quadratic coupling 
u,v
u(0)
v(0)
b
2, which couples symmetric fluctuations on adjacent tetrahedra. These symmetric fluctuations are orthogonal to critical fluctuations such as those in Eq. (8). - X. G. Wen, F. Wilczek, and A. Zee, Phys. Rev. B 39, 11 413 (1989).







