报告题目：Non-Abelian braiding of Dirac fermionic modes in topological systems and spin superconductors

报告人：吴宜家   北京大学物理学院量子材料科学中心

报告时间：2022年7月13日15:00-16:00

报告地点：苏州大学致远楼301

报告摘要：  The reason why Majorana zero-modes support non-Abelian braiding can be summarized as two conditions as: (i) ground state degeneracy, and (ii) geometric phase of π during the braiding operation. In this talk, I will present that both these two requirements can be satisfied in non-Majorana systems. As a prototyping model, the topological Dirac fermionic modes bound to the half-vortex in the quantum anomalous Hall insulator can be proved to obey non-Abelian braiding statistics. Such a vortex-bounded Dirac fermioinic mode is topologically equivalent to the Jackiw-Rebbi zero-mode in one-dimensional topological insulator and the topological corner state in higher-order topological insulator. Furthermore, the topological edge states in spin superconductor carrying half-spin also exhibit non-Abelian statistics due to the Aharonov-Casher effect, which is in parallel with the Aharonov-Bohm effect of the Majorana zero-mode possessing half-charge. All these proposals open up a new avenue realizing non-Abelian braiding without the assistance of Majorana zero-mode and charge superconductor.

References:

1.    Y. Wu, H. Liu, J. Liu, H. Jiang, and X. C. Xie, National Science Review7, 572 (2020).

2.   Y. Wu, H. Jiang, J. Liu, H. Liu, and X. C. Xie, Phys. Rev. Lett.125, 036801 (2020).

3.  Y. Wu, H. Jiang, H. Chen, H. Liu, J. Liu, and X. C. Xie, Phys. Rev. Lett.128, 106804 (2022).

报告人简介：吴宜家，2015年于浙江大学物理系获得学士学位，2020年于北京大学物理学院获得博士学位。目前在北京大学物理学院量子材料科学中心从事博士后研究工作，合作导师为谢心澄教授。主要研究方向为非阿贝尔编织、拓扑物态和量子输运。

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