Non-Abelian operation on chiral Majorana fermions by quantum dots

Yan-Feng Zhou, Zhe Hou, and Qing-Feng Sun
Phys. Rev. B 99, 195137 – Published 22 May 2019

Abstract

We show that if a quantum dot or Majorana zero mode couples to the chiral Majorana fermions, a resonant exchange of chiral Majorana fermions can occur and leads to a non-Abelian braidinglike operation analogous to the braiding of Majorana zero modes. Remarkably, any operation in the braid group can be achieved by this scheme. We further propose electrical transport experiments to observe the braidinglike operation on four chiral Majorana fermions and demonstrate the non-Abelian character in four-terminal devices of the quantum anomalous Hall insulator/topological superconductor hybrid junctions. Both a conductance peak due to the operation and the operation-order-dependent conductance are predicted. These findings pave the way to perform any non-Abelian operation on chiral Majorana fermions by electrically controllable quantum dots.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 24 December 2018
  • Revised 27 March 2019

DOI:https://doi.org/10.1103/PhysRevB.99.195137

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Yan-Feng Zhou1,2, Zhe Hou1,2, and Qing-Feng Sun1,2,3,*

  • 1International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China
  • 2Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
  • 3CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China

  • *sunqf@pku.edu.cn

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 99, Iss. 19 — 15 May 2019

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×