Systems with resonating-valence-bond ground states: Correlations and excitations
- 1 March 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 37 (7) , 3786-3789
- https://doi.org/10.1103/physrevb.37.3786
Abstract
We consider a resonating-valence-bond state as a variational estimate for the ground state of a Heisenberg antiferromagnet. We derive an expression for the normalization of this wave function, which is a superposition of a very large number of singlet pair states, which we then use to show that the singularities, correlations, and low-lying excitations of this quantum system can be calculated from the partition function of a related dimerlike classical statistical mechanics problem. Possible calculational schemes are discussed.Keywords
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