Journal
PHYSICS LETTERS A
Volume 380, Issue 5-6, Pages 779-782Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2015.11.030
Keywords
Majorana fermions; Topological superconductors
Categories
Funding
- National Basic Research Program of China (973 Program) [2011CB921803, 2012CB921704]
- NSFC [11174035, 11474025, 11404090]
- SRFDP
- Fundamental Research Funds for the Central Universities
- NSF-Hebei Province [A2015205189]
- NSF-Hebei Education Department [QN2014022]
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Recently, Majorana fermions have attracted intensive attention because of their possible non-Abelian statistics and potential applications in topological quantum computation. This paper describes an approach to verify the non-Abelian statistics of Majorana fermions in topological superconductors. From the relationship between the braiding operator of Majorana fermions and that of Bogoliubov-de Gennes states, we determine that Majorana fermions in one-dimensional and two-dimensional topological superconductors both obey non-Abelian statistics. (c) 2015 Elsevier B.V. All rights reserved.
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