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arXiv 2102.12231math-phcond-mat.mes-hallmath.KTmath.MP
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与角态有关的拓扑不变量的分类

Classification of topological invariants related to corner states

Shin Hayashi

摘要:

本文讨论了角点晶格上的体表面带隙哈密顿算符,并提出了一个角点态拓扑不变量周期表,用于高阶拓扑绝缘体的研究.我们的表是基于四件事:(1)拓扑不变量的定义,(2)证明它们与角态的关系,(3)K-群的计算和(4)明确的例子的建设。

英文摘要:

We discuss some bulk-surfaces gapped Hamiltonians on a lattice with corners and propose a periodic table for topological invariants related to corner states aimed at studies of higher-order topological insulators. Our table is based on four things: (1) the definition of topological invariants, (2) a proof of their relation with corner states (3) computations of K-groups and (4) a construction of explicit examples.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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