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arXiv · 1505.07588

Classification of Majorana Fermions in Two-Dimensional Topological Superconductors

Qiu-Bo Cheng·Jing He·Su-Peng Kou
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Abstract

Recently, Majorana Fermions (MFs) have attracted intensive attention due to their exotic statistics and possible applications in topological quantum computation (TQC). They are proposed to exist in various two-dimensional (2D) topological systems, such as px+ipy topological superconductor and nanowire-superconducting hybridization system. In this paper, two types of Majorana Fermions with different polygon sign rules are pointed out. A "smoking gun" numerical evidence to identify MF's classification is presented through looking for the signature of a first order topological quantum phase transition. By using it, several 2D topological superconductors are studied.

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Qiu-Bo Cheng, Jing He, Su-Peng Kou. 2015-05-28. Classification of Majorana Fermions in Two-Dimensional Topological Superconductors. https://doi.org/10.1142/s0217979216502131

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