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摘要翻译：
我们用量子化Berry相位定义的局域序参量刻画了几个带隙自旋系统的相位。只要能隙是有限的，对于任何微小的微扰，这个特征在拓扑上是稳定的。我们得到的模型是:$S=1,2$二聚海森堡链和S=2海森堡链，具有单轴单离子型各向异性。我们还解析地计算了广义Affleck-Kennedy-Lieb-Tasaki(AKLT)模型的拓扑局部序参量。本文还讨论了Berry相与整数自旋链中的分馏化之间的关系。
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英文标题：
《Topological Classification of Gapped Spin Chains :Quantized Berry Phase
as a Local Order Parameter》
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作者：
Takaaki Hirano, Hosho Katsura, Yasuhiro Hatsugai
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Strongly Correlated Electrons 强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We characterize several phases of gapped spin systems by local order parameters defined by quantized Berry phases. This characterization is topologically stable against any small perturbation as long as the energy gap remains finite. The models we pick up are $S=1,2$ dimerized Heisenberg chains and S=2 Heisenberg chains with uniaxial single-ion-type anisotropy. Analytically we also evaluate the topological local order parameters for the generalized Affleck-Kennedy-Lieb-Tasaki (AKLT) model. The relation between the present Berry phases and the fractionalization in the integer spin chains are discussed as well.
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PDF链接：
https://arxiv.org/pdf/710.4198
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