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

Abstract

We propose an approach for probing Majorana bound states (MBSs) in a nanowire via counting statistics of a nearby charge detector in the form of a single-electron transistor (SET). We consider the impacts on the counting statistics by both the local coupling between the detector and an adjacent MBS at 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 minimized for a symmetric SET configuration in the absence of the MBSs or when coupled to a fermionic state. However, the minimum points of operation are shifted appreciably in the presence of the MBSs to asymmetric SET configurations with a higher tunnel rate at the drain than at the source. This feature persists even when varying the nonlocal coupling and the pairing energy between the two MBSs. We expect that these MBS-induced shifts can be measured experimentally with available technologies and can serve as important signatures of the MBSs.

10 pages, 5 figures

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• Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
• Topologically protected charge transfer along the edge of a chiral $\text{p}$-wave superconductor
• Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics
• Isolating Majorana fermions with finite Kitaev nanowires and temperature: the universality of the zero-bias conductance
• Transport Signatures of a Majorana Qubit and Read-out-induced Dephasing
• Properties of the Majorana-state tunneling Josephson junction mediated by an interacting quantum dot
• Conductance of a SET with a retarded dielectric layer in the gate capacitor
• Interplay of correlations and Majorana mode from local solution perspective