4.5 Article

Interference of Majorana fermions in NS junctions

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ELSEVIER
DOI: 10.1016/j.physe.2013.08.030

Keywords

Topological superconductor; Majorana fermion; Andreev reflection; NS junction; Quantum anomalous Hall insulator

Funding

  1. Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan [22103005]
  2. Japan Society for the Promotion of Science (JSPS) [25287085]

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We investigate interference of Majorana fermions (MFs) in NS junctions. A general formula of charge conductance G for NS junctions with two MFs is derived based on the low energy effective model. It is found that G for two MFs takes various values 0 <= G <= 4e(2)/h owing to interference of the MFs, while G is quantized as G = 2e(2)/h for a single ME The value of G is determined by symmetry of the system. As an example, we investigate the complete destructive interference of two degenerate MFs reported by Ii et al. [A. Ii, A. Yamakage, K. Yada, M. Sato, Y. Tanaka, Physical Review B 86 (2012) 174512.], and identify the symmetry responsible for the destructive interference. (C) 2013 Elsevier B.V. All rights reserved.

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