Abstract
We study bond and spin correlations of the nearest-neighbor resonating valence bond (RVB) wave function for a SU(2) symmetric antiferromagnet on the honeycomb lattice. We find that spin correlations in this wave function are short ranged, while the bond energy correlation function takes on an oscillatory power-law form , where is the wave vector corresponding to “columnar” valence-bond solid order on the honeycomb lattice, and . We use a recently introduced large- expansion approach to relate bond-energy correlators of the wave function to dimer correlations of an interacting fully packed dimer model with a three-dimer interaction of strength . Putting , we find numerically that the dimer correlation function of this dimer model has power-law behavior with , in rather good agreement with the wave function results. We also study the same quantities for and find that the bond-energy correlations in the wave function are consistently well reproduced by the corresponding dimer correlations in the interacting dimer model.
7 More- Received 21 August 2014
- Revised 11 November 2014
DOI:https://doi.org/10.1103/PhysRevB.90.245121
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