Non-Abelian braiding: from Majorana zero modes to topological Dirac fermionic modes

报告题目：Non-Abelian braiding: from Majorana zero modes to topological Dirac fermionic modes

报告人：刘杰教授  西安交通大学

报告时间：2023年12月13日14：00--15：30

报告地点：致远楼301

报告邀请人：蒋建华

报告摘要：Majorana zero modes (MZMs) have been intensively studied in recent decades theoretically and experimentally as the most promising candidate for non-Abelian anyons supporting topological quantum computation (TQC). In addition to the Majorana scheme, some non-Majorana quasiparticles obeying non-Abelian statistics, including topological Dirac fermionic modes, have also been proposed and therefore become new candidates for TQC. In this review, we overview the non-Abelian braiding proper- ties as well as the corresponding braiding schemes for both the MZMs and the topological Dirac fermionic modes, emphasizing the recent progress on topological Dirac fermionic modes. A topological Dirac fermionic mode can be regarded as a pair of MZMs related by unitary symmetry, which can be realized in a number of platforms, including the one-dimensional topological insulator, higher-order topological insulator, and spin superconductor. This topological Dirac fermionic mode possesses several advantages compared with its Majorana cousin, such as superconductivity-free and larger gaps. Therefore, it provides a new avenue for investigating non-Abelian physics and possible TQC.

报告人简介：刘杰，西安交通大学物理学院教授，2011年于中国科学院物理研究所获得博士学位。主要探究拓扑物质在拓扑量子计算中的应用，总共在该领域发表PRL，PRB等学术文章三十余篇。主持基金委重点研发培育项目一项、面上项目两项。