Journal article

Valence bond solid states with symplectic symmetry

Dirk Schuricht, Stephan Rachel

PHYSICAL REVIEW B | AMER PHYSICAL SOC | Published : 2008

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. © 2008 The American Physical Society.

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