Natural extension of hidden $Z_2 \times Z_2$ symmetry toward arbitrary integer spin chains

Details Natural extension of hidden $Z_2 \times Z_2$ symmetry toward arbitrary integer spin chains Natural extension of hidden $Z_2 \times Z_2$ symmetry toward arbitrary integer spin chains

2011-09-20

arxiv.org/abs/1109.4202v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 2 figures

Scientific paper

We show how entangled valence-bond singlet pairs are disentangled partially and totally by the Kennedy-Tasaki transformation which reveals the hidden $Z_2\times Z_2$ symmetry in valence-bond-solid chains as a higher-spin generalization of the previous studies toward the intermediate-$D$ state. The totally disentangled states correspond to four Ising-like states with $Z_2$ variables on the boundary. We present a simple expression of results by using the spin decomposition and the boundary matrix.

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