Interference of Majorana fermions in NS junctions

Abstract

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 \leq G \leq 4e^2/h owing to interference of the MFs, while G is quantized as G = 2e^2/h for a single MF. 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, and Y. Tanaka, Phys. Rev. B 86, 174512 (2012)], and identify the symmetry responsible for the destructive interference.

8 pages, 3 figures

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Cited by in corpus (14)

• Topological superconductors: a review
• On controlling the bound states in quantum-dot hybrid-nanowire
• Correlated spin currents generated by resonant crossed Andreev reflections in topological superconductors
• Distinguishing Majorana bound states from localized Andreev bound states by interferometry
• Robust Transport Signatures of Topological Superconductivity in Topological Insulator Nanowires
• Edge State Induced Andreev Oscillation in Quantum Anomalous Hall Insulator-Superconductor Junctions
• Coupling and braiding Majorana bound states in networks defined in proximitized two-dimensional electron gases
• Effects of Domain Walls in Quantum Anomalous Hall Insulator/Superconductor Heterostructures
• Anomalous interference in Aharonov-Bohm rings with two Majorana bound states
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Theory of Josephson Current on a Magnetically Doped Topological Insulator
• Selective equal spin Andreev reflection at vortex core center in magnetic semiconductor-superconductor heterostructure
• Theory of Tunneling Effect in 1D AIII-class Topological Insulator (Nanowire) Proximity Coupled with a Superconductor
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems