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We propose an approach for probing Majorana bound states (MBSs) in a nanowirevia counting statistics of a nearby charge detector in the form of asingle-electron transistor (SET). We consider the impacts on the countingstatistics by both the local coupling between the detector and an adjacent MBSat one end of a nanowire and the nonlocal coupling to the MBS at the other end.We show that the Fano factor and the skewness of the SET current are minimizedfor a symmetric SET configuration in the absence of the MBSs or when coupled toa fermionic state. However, the minimum points of operation are shiftedappreciably in the presence of the MBSs to asymmetric SET configurations with ahigher tunnel rate at the drain than at the source. This feature persists evenwhen varying the nonlocal coupling and the pairing energy between the two MBSs.We expect that these MBS-induced shifts can be measured experimentally withavailable technologies and can serve as important signatures of the MBSs.

Probing Majorana bound states via counting statistics of a single electron transistor