Valence bond solid states with symplectic symmetry

@article{Schuricht2008ValenceBS,
  title={Valence bond solid states with symplectic symmetry},
  author={Dirk Schuricht and Stephan Rachel},
  journal={Physical Review B},
  year={2008},
  volume={78},
  pages={014430}
}
We introduce a one-dimensional valence bond solid (VBS) state with symplectic symmetry $\text{SP}(n)$ 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… Expand

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