Non-Abelian operation through scattering between chiral Dirac edge modes

被引：1
作者：
Lin, Zhi-Xing [1 ]
Wu, Yijia [1 ]
Xie, X. C. [1 ,2 ]
机构：
[1] Peking Univ, Int Ctr Quantum Mat, Sch Phys, Beijing 100871, Peoples R China
[2] Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China
来源：
PHYSICAL REVIEW B | 2022年 / 105卷 / 20期
关键词：
QUANTUM; SUPERCONDUCTOR; NANOWIRE; STATISTICS; TRANSITION; SIGNATURE; VORTICES; FERMIONS; PLATEAU;
D O I：
10.1103/PhysRevB.105.205428
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We theoretically demonstrate that the non-Abelian braiding operation can be realized through the scattering between chiral Dirac edge modes (CDEMs) in quantum anomalous Hall insulators by analytically deriving its S matrix. Based on the analytical model, we propose a viable device for the experimental realization and detection of the non-Abelian braiding operations. Through investigating the tunneling conductance in a discretized lattice model, the non-Abelian properties of CDEMs could also be verified in a numerical way. Our proposal for CDEMbased braiding provides an avenue for realizing topologically protected quantum gates.
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页数：7
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