Valence bond solid states with symplectic symmetry

Details Valence bond solid states with symplectic symmetry Valence bond solid states with symplectic symmetry

2008-05-26

arxiv.org/abs/0805.3918v3

Phys. Rev. B 78, 014430 (2008) (Editors' suggestion)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 5 figures

Scientific paper

10.1103/PhysRevB.78.014430

We introduce a one-dimensional valence bond solid (VBS) state with symplectic symmetry 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 higher dimensions.

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