Bifurcation in ground-state fidelity for a one-dimensional spin model with competing two-spin and three-spin interactions
Bifurcation in ground-state fidelity for a one-dimensional spin model with competing two-spin and three-spin interactions
复制标题
具有竞争性二自旋和三自旋相互作用的一维自旋模型基态保真度的分岔
DOI：
10.1016/j.physleta.2011.09.014
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发表时间：
2011-10-31
影响因子：
2.6
通讯作者：
Zhou, Huan-Qiang
中科院分区：
文献类型：
--
作者：
Wang, Hong-Lei;Dai, Yan-Wei;Zhou, Huan-Qiang
在基于无限矩阵乘积态表示的张量网络算法的背景下，研究了具有竞争的两自旋和三自旋相互作用的一维量子自旋模型。该算法是对维达尔的无限时间演化块抽取算法的改进，适用于包含三自旋相互作用的平移不变的一维晶格自旋系统。对于几个选定的耦合常数，计算了每个晶格点的基态保真度，并揭示了它的分叉。在传统的Ginzburg-Landau-Wilson范式中，我们成功地识别了临界点，并得到了表征不同相的局域有序参数。(C)2011爱思唯尔B.V.保留所有权利。
A one-dimensional quantum spin model with the competing two-spin and three-spin interactions is investigated in the context of a tensor network algorithm based on the infinite matrix product state representation. The algorithm is an adaptation of Vidal's infinite time-evolving block decimation algorithm to a translation-invariant one-dimensional lattice spin system involving three-spin interactions. The ground-state fidelity per lattice site is computed, and its bifurcation is unveiled, for a few selected values of the coupling constants. We succeed in identifying critical points and deriving local order parameters to characterize different phases in the conventional Ginzburg-Landau-Wilson paradigm. (C) 2011 Elsevier B.V. All rights reserved.