Even-odd interference effect in a topological superconducting wire

Jie Liu; Juntao Song; Qing-Feng Sun; X. C. Xie

doi:10.1103/PhysRevB.96.195307

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Even-odd interference effect in a topological superconducting wire

Jie Liu, Juntao Song, Qing-Feng Sun, X. C. Xie

DOI 10.1103/PhysRevB.96.195307 · Physical Review B

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Abstract

We study the nonlocal transport property of Majorana quasiparticle states (MQPs) in a normal lead–topological superconducting wire–normal lead system. We find that the tunneling coefficient of the electron transmission process displays an interesting even-odd interference behavior. However, this even-odd interference behavior is difficult to observe in the tunneling coefficient of the crossed Andreev reflection process (CAR). We show that this even-odd interference behavior is directly related to the self-Hermitian property of MQPs. Due to the self-Hermitian property, the correction to the transport in the electron transmission process is in the first order while the correction to the CAR process is in the higher order. Thus, the interference behavior is more significant in the electron transmission process than in the CAR process. Such a unique transport property demonstrates the nonlocal and self-Hermitian characteristics of MQPs.