Square-root topological phase with time-reversal and particle-hole symmetry
Square-root topological phase with time-reversal and particle-hole symmetry
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DOI：
10.1103/physrevb.103.235130
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发表时间：
2021-03
影响因子：
3.7
通讯作者：
Tsuneya Yoshida;T. Mizoguchi;Y. Kuno;Y. Hatsugai
中科院分区：
文献类型：
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作者：
Tsuneya Yoshida;T. Mizoguchi;Y. Kuno;Y. Hatsugai
平方根拓扑相的讨论主要针对具有手征对称性的体系。在这篇文章中，我们分析了保持时间反转和粒子-空穴对称性系统的平方哈密顿量的拓扑。我们的分析表明，由于平方哈密顿量的非平凡拓扑，与普通拓扑相的缺乏相比，CII类二维系统拥有螺旋边态。通过对一个玩具模型的分析，证明了螺旋边缘模式的出现。我们还展示了由平方哈密顿量的非平凡拓扑在三维中诱导的表面态的出现。
Square-root topological phases have been discussed mainly for systems with chiral symmetry. In this paper, we analyze the topology of the squared Hamiltonian for systems preserving the time-reversal and particle-hole symmetry. Our analysis elucidates that two-dimensional systems of class CII host helical edge states due to the nontrivial topology of the squared Hamiltonian in contrast to the absence of ordinary topological phases. The emergence of the helical edge modes is demonstrated by analyzing a toy model. We also show the emergence of surface states induced by the non-trivial topology of the squared Hamiltonian in three dimensions.