English

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

Statistical Mechanics 2011-09-21 v1

Abstract

We show how entangled valence-bond singlet pairs are disentangled partially and totally by the Kennedy-Tasaki transformation which reveals the hidden Z2×Z2Z_2\times Z_2 symmetry in valence-bond-solid chains as a higher-spin generalization of the previous studies toward the intermediate-DD state. The totally disentangled states correspond to four Ising-like states with Z2Z_2 variables on the boundary. We present a simple expression of results by using the spin decomposition and the boundary matrix.

Keywords

Cite

@article{arxiv.1109.4202,
  title  = {Natural extension of hidden $Z_2 \times Z_2$ symmetry toward arbitrary integer spin chains},
  author = {I. Maruyama},
  journal= {arXiv preprint arXiv:1109.4202},
  year   = {2011}
}

Comments

9 pages, 2 figures