Non-Abelian Braiding of Dirac Fermionic Modes Using Topological Corner States in Higher-Order Topological Insulator

Yijia Wu, Hua Jiang, Jie Liu, Haiwen Liu, and X. C. Xie
Phys. Rev. Lett. 125, 036801 – Published 13 July 2020
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Abstract

We numerically demonstrate that the topological corner states residing in the corners of higher-order topological insulator possess non-Abelian braiding properties. Such topological corner states are Dirac fermionic modes other than Majorana zero modes. We claim that Dirac fermionic modes protected by nontrivial topology also support non-Abelian braiding. An analytical description on such non-Abelian braiding is conducted based on the vortex-induced Dirac-type fermionic modes. Finally, the braiding operators for Dirac fermionic modes, especially their explicit matrix forms, are analytically derived and compared with the case of Majorana zero modes.

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  • Received 9 January 2020
  • Revised 13 April 2020
  • Accepted 17 June 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.036801

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Yijia Wu1, Hua Jiang2,3, Jie Liu4, Haiwen Liu5, and X. C. Xie1,6,7,*

  • 1International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China
  • 2School of Physical Science and Technology, Soochow University, Suzhou 215006, China
  • 3Institute for Advanced Study, Soochow University, Suzhou 215006, China
  • 4Department of Applied Physics, School of Science, Xian Jiaotong University, Xian 710049, China
  • 5Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China
  • 6Beijing Academy of Quantum Information Sciences, Beijing 100193, China
  • 7CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China

  • *Corresponding author. xcxie@pku.edu.cn

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Issue

Vol. 125, Iss. 3 — 17 July 2020

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