Abstract
We introduce a one-dimensional valence bond solid (VBS) state with symplectic symmetry and construct the corresponding parent Hamiltonian. We argue that there is a gap in the spectrum. We calculate exactly the static correlation functions, which fall off exponentially. Hence the model introduced here shares all properties of the Haldane scenario for integer-spin quantum antiferromagnets. We further show that the VBS state possesses string order and discuss its generalization to higher dimensions.
- Received 21 May 2008
DOI:https://doi.org/10.1103/PhysRevB.78.014430
©2008 American Physical Society