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arXiv · 0805.3918

Valence bond solid states with symplectic symmetry

Dirk Schuricht·Stephan Rachel
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Abstract

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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Dirk Schuricht, Stephan Rachel. 2008-07-31. Valence bond solid states with symplectic symmetry. https://doi.org/10.1103/physrevb.78.014430

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