Physical review. B, Condensed matter · 1990 · 495 citations · 11 references
Natural SciencesPhysicsCondensed Matter PhysicsMagnetic MaterialsQuantum MechanicsAntiferromagnetic MaterialsAntiferromagnetismExchange InteractionsMagnetic Properties Of SolidsPhase TransitionsQuantum Field TheoryFrustrated AntiferromagnetsHeisenberg AntiferromagnetMean-field TheoryOperator RepresentationQuantum AntiferromagnetismSpin FrustrationSpin SystemsTwo-dimensional Antiferromagnets
The authors introduce a bond‑operator representation of S=1/2 quantum spins to study frustrated quantum Heisenberg antiferromagnets. They use bond operators that create and annihilate singlet and triplet bonds between spin pairs to formulate a mean‑field theory for the two‑dimensional frustrated quantum Heisenberg antiferromagnets studied by Gelfand, Singh, and Huse. The representation successfully captures the transition between dimerized and magnetically ordered phases and is also applicable to random quantum antiferromagnets.
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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F. D. M. Haldane · Physical Review Letters · 1988 · 512 citations
Premala Chandra, Benoît Douçot · Physical review. B, Condensed matter · 1988 · 483 citations