Journal
PHYSICAL REVIEW LETTERS
Volume 125, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.125.036801
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Funding
- National Basic Research Program of China [2015CB921102, 2017YFA0303301, 2019YFA0308403, 2017YFA0304600]
- National Natural Science Foundation of China [11534001, 11674028, 11822407, 11974271]
- Strategic Priority Research Program of Chinese Academy of Sciences [XDB28000000]
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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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