Identifying symmetry-protected topological order by entanglement entropy
Identifying symmetry-protected topological order by entanglement entropy
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DOI：
10.1103/physrevb.88.245121
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发表时间：
2013-06
影响因子：
3.7
通讯作者：
Wei Li;A. Weichselbaum;J. Delft
中科院分区：
文献类型：
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作者：
Wei Li;A. Weichselbaum;J. Delft
在SPT相等于1，在平凡相等于- 1。作为我们的建议的应用，我们研究了各种一维（1D）和准一维晶格上的自旋-1模型，包括单链上的双线性-双二次模型，以及两腿梯和三腿管上的海森堡模型。其中，我们证实了自旋-1管模型中SPT相的存在，并揭示了SPT与平凡相之间的相变是连续的。发现过渡点是临界的，共形中心电荷c = 3由块纠缠熵的拟合决定。
which equals 1 in the SPT phase, and −1 in the trivial phase. As an application of our proposal, we study the spin-1 models on various one-dimensional (1D) and quasi-1D lattices, including the bilinear-biquadratic model on a single chain, and the Heisenberg model on a two-leg ladder and a three-leg tube. Among others, we confirm the existence of a SPT phase in the spin-1 tube model and reveal that the phase transition between the SPT and the trivial phase is a continuous one. The transition point is found to be critical, with conformal central charge c = 3 determined by fits to the block entanglement entropy.