ZN Berry phase and symmetry-protected topological phases of the SU(N) antiferromagnetic Heisenberg chain
ZN Berry phase and symmetry-protected topological phases of the SU(N) antiferromagnetic Heisenberg chain
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SU(N) 反铁磁海森堡链的 ZN Berry 相和对称保护拓扑相
DOI：
10.1103/physrevb.98.195127
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发表时间：
2018
影响因子：
3.7
通讯作者：
Todo Synge
中科院分区：
文献类型：
--
作者：
Motoyama Yuichi;Todo Synge
制定了反铁磁海森堡自旋模型的局部量化贝里相。该量是 SU(2) 对称性的 localBerry 相的推广，与跨越特定键的单重态对的数量有直接对应，并且是表征和分类一维自旋系统的各种对称保护拓扑相的有效工具。我们扩展了Berry相的路径积分量子蒙特卡罗方法，以数值计算Berry相。我们通过计算键交替反铁磁海森堡链的贝里相来演示我们的方法，该链由四列杨氏图表示。
The localquantized Berry phase for theantiferromagnetic Heisenberg spin model is formulated. This quantity, which is a generalization of the localBerry phase for SU(2) symmetry, has a direct correspondence to the number of singlet pairs spanning a particular bond, and is effective as a tool to characterize and classify the various symmetry-protected topological phases of one-dimensionalspin systems. We extend the path-integral quantum Monte Carlo method for theBerry phase in order to calculate theBerry phase numerically. We demonstrate our method by calculating theBerry phase for the bond-alternatingantiferromagnetic Heisenberg chain, which is represented by the Young diagram of four columns.