The matrix product representation for the q-VBS state of one-dimensional
  higher integer spin model

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Abstract

The generalized q-deformed valence-bond-solid groundstate of one-dimensional higher integer spin model is studied. The Schwinger boson representation and the matrix product representation of the exact groundstate is determined, which recovers the former results for the spin-1 case or the isotropic limit. As an application, several correlation functions are evaluated from the matrix product representation.

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Most cited references 3

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Aq-difference analogue of U(g) and the Yang-Baxter equation

Michio Jimbo (1985)

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Hidden symmetry breaking in a generalized valence-bond solid model

K. Totsuka, M. Suzuki (1994)

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Is Open Access

q-deformations of quantum spin chains with exact valence-bond ground states

C. M. Yung, M. Batchelor (1994)

Quantum spin chains with exact valence-bond ground states are of great interest in condensed-matter physics. A class of such models was proposed by Affleck et al., each of which is su(2)-invariant and constructed as a sum of projectors onto definite total spin states at neighbouring sites. We propose to use the machinery of the q-deformation of su(2) to obtain generalisations of such models, and work out explicitly the two simplest examples. In one case we recover the known anisotropic spin-1 VBS model while in the other we obtain a new anisotropic generalisation of the spin-1/2 Majumdar-Ghosh model.