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Prof. Xiaoyu Zhu: Bulk-boundary correspondence in higher-order topological superconductors (2024/04/24)

( 2024-04-19 )
题目

Bulk-boundary correspondence in higher-order topological superconductors


报告人


Assoc. Prof. Xiaoyu Zhu (朱小宇)

Xi’an Jiaotong University

时间

2024年4月24日(星期三)下午2:30

地点

物质科学教研楼B902会议室

报告人简介

朱小宇,西安交通大学物理学院副教授。2011年和2016年在南京大学分别取得学士和博士学位,期间以联合培养身份到加拿大英属哥伦比亚大学访问交流,之后入职西安交通大学。主要从事凝聚态物理中拓扑物态的理论研究,近年来比较关注高阶拓扑体系。

报告摘要

Higher-order topological superconductors are characterized by Majorana modes localized at corners or hinges.  Topological phase transitions in these higher-order phases can be driven by variations in a bulk parameter without closing the bulk gap. This presents a challenge in establishing a direct bulk-boundary correspondence, as conventional bulk invariants change only upon the closure of the bulk gap. In this talk, I will introduce our recent studies of two-dimensional higher-order topological superconductors in D, DIII and BDI symmetry classes. We demonstrate that in certain phases, a pair of topological invariants that are derived from Fermi level crossings can be used to characterize higher-order topology. These invariants may change with the closure of either bulk or edge gaps, thereby providing a clear demonstration of bulk-boundary correspondence in these higher-order phases.

References

[1] Hong Wang and Xiaoyu Zhu, PRB 108, 125426 (2023).

[2] Xiaoyu Zhu, arXiv:2403.17635 (2024).



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