Bond-operator representation of quantum spins: Mean-field theory of frustrated quantum Heisenberg antiferromagnets
- 1 May 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 41 (13), 9323-9329
- https://doi.org/10.1103/physrevb.41.9323
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.Keywords
This publication has 11 references indexed in Scilit:
- Ising transition in frustrated Heisenberg modelsPhysical Review Letters, 1990
- Phase diagram of the frustrated spin-1/2 Heisenberg antiferromagnet in 2 dimensionsPhysical Review Letters, 1989
- Spin-Peierls ground states of the quantum dimer model: A finite-size studyPhysical Review B, 1989
- Some features of the phase diagram of the square lattice SU(N) antiferromagnetNuclear Physics B, 1989
- Spiral phase of a doped quantum antiferromagnetPhysical Review Letters, 1989
- Possible spin-liquid state at largefor the frustrated square Heisenberg latticePhysical Review B, 1988
- O(3) NonlinearModel and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two DimensionsPhysical Review Letters, 1988
- Low-temperature behavior of two-dimensional quantum antiferromagnetsPhysical Review Letters, 1988
- The Resonating Valence Bond State in La 2 CuO 4 and SuperconductivityScience, 1987
- Scaling Studies of Highly Disordered Spin-½ Antiferromagnetic SystemsPhysical Review Letters, 1982