Bond-operator representation of quantum spins: Mean-field theory of frustrated quantum Heisenberg antiferromagnets
Subir SachdevCenter for Theoretical Physics, P.O. Box 6666, Yale University, New Haven, Connecticut 06511R. N. BhattCenter for Theoretical Physics, P.O. Box 6666, Yale University, New Haven, Connecticut 06511
1990en
ABI
Abstract
We introduce a new representation of S=1/2 quantum spins in terms of bond operators. The bond operators create and annihilate singlet and triplet bonds between a pair of spins. The representation is useful in describing the transition between dimerized and magnetically ordered phases of quantum antiferromagnets. It is used to obtain a mean-field theory of the two-dimensional frustrated quantum Heisenberg antiferromagnets considered recently by Gelfand, Singh, and Huse. The method should also be useful in the analysis of random quantum antiferromagnets.
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