1. Polygon sign rules of Majorana fermions in two-dimensional topological superconductors.
- Author
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Cheng, Qiu-Bo, He, Jing, Yu, Jing, Zhao, Xiao-Ming, and Kou, Su-Peng
- Subjects
- *
MAJORANA fermions , *SUPERCONDUCTORS , *NANOWIRES , *POLYGONS , *TOPOLOGY , *NUMERICAL analysis - Abstract
Recently, Majorana fermions (MFs) have attracted intensive attention due to their exotic statistics and possible applications in topological quantum computation. They are proposed to exist in various two-dimensional (2D) topological systems, such as topological superconductor (SC) and nanowire-superconducting hybridization system. In this paper, we point out that Majorana fermions in different topological systems obey different types of polygon sign rules. A numerical approach is described to identify the type of polygon sign rule of the Majorana fermions. Applying the approach to study two 2D topological systems, we find that vortex-induced Majorana fermions obey topological polygon sign rule and line-defect-induced Majorana fermions obey normal polygon sign rule. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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