Recent progress on non-Abelian anyons:from Majorana zero modes to topological Dirac fermionic modes  

作　　者：Yijia Wu Jie Liu XinCheng Xie 

机构地区：[1]Institute for Nanoelectronic Devices and Quantum Computing,Fudan University,Shanghai 200438,China [2]School of Physics,MOE Key Laboratory for Non-equilibrium Synthesis and Modulation of Condensed Matter,Xi’an Jiaotong University,Xi’an 710049,China [3]International Center for Quantum Materials,School of Physics,Peking University,Beijing 100871,China [4]Hefei National Laboratory,Hefei 230088,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2023年第6期36-52,共17页中国科学：物理学、力学、天文学（英文版）

基　　金：financially supported by the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0302400);the National Natural Science Foundation of China(Grant No.11974271);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDB28000000);the National Basic Research Program of China(Grant No.2015CB921102);the China Postdoctoral Science Foundation(Grant No.2021M690233)。

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 properties 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.

关 键 词：non-Abelian anyon topological quantum computation topological Dirac fermionic mode Majorana zero mode 

分 类 号：O469[理学—凝聚态物理]