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arXiv 2103.01825cond-mat.supr-concond-mat.mes-hallcond-mat.mtrl-sci
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基于弱拓扑绝缘体的高阶拓扑超导体

Higher-order topological superconductors based on weak topological insulators

Xun-Jiang Luo, Xiao-Hong Pan, Xin Liu

摘要:

高阶拓扑相在边界的边界处具有鲁棒的边界态,这可以从它们的边界拓扑来解释。在这项工作中,考虑到超导体和磁场之间的相互作用,间隙的三维弱拓扑绝缘体的表面状态,我们表明,二阶拓扑超导体(TSC)具有螺旋或手征马约拉纳铰链模式和三阶TSC具有马约拉纳角模式可以实现。值得注意的是,我们模型中的高阶TSC可以归因于它们的某些边界、表面或铰链,它们自然地表现为DIII或D对称类中的一阶TSC。相应地,这些高阶TSC可以通过边界一阶拓扑不变量来表征,例如表面TSC的表面陈数或表面$Z_2$拓扑不变量。我们的模型可以有效地捕捉到铁基超导体的拓扑结构与所需的反向能带结构和超导配对。

英文摘要:

High-order topological phases host robust boundary states at the boundary of the boundary, which can be interpreted from their boundary topology. In this work, considering the interplay between superconductors and magnetic fields to gap the surface states of three-dimensional weak topological insulators, we show that second-order topological superconductors (TSCs) featuring helical or chiral Majorana hinge modes and third-order TSC featuring Majorana corner modes can be realized. Remarkably, the higher-order TSCs in our models can be attributed to their certain boundaries, surfaces, or hinges, which naturally behave as first-order TSC in DIII or D symmetry class. Correspondingly, these higher-order TSCs can be characterized by the boundary first-order topological invariants, such as surface Chern numbers or surface $Z_2$ topological invariants for surface TSCs. Our models can effectively capture the topology of iron-based superconductors with desired inverted band structures and superconducting pairings.

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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