Josephson junction scheme for observing the non-Abelian statistical properties of Majorana fermions

Abstract

Since Majorana zero mode (MZM) was proposed applicable for topological quantum computing, the past two decades have witnessed a growth of theoretical and experimental advances. Here we propose a Josephson junction setup consisting of intrinsic topological superconductors, and show that with the exchange operation of two MZMs, the single-electron tunneling current will reverse sign as a result of its non-Abelian statistics, which can be further utilized to read out the initial qubit of the system. This work offers a way to demonstrate the non-Abelian statistical properties of MZMs.