Quantum charge pumping through Majorana bound states

TL;DR

This paper investigates adiabatic charge pumping via Majorana bound states, proposing a ring geometry with flux to distinguish Majorana states from Andreev states through Fourier analysis of pumped charge.

Contribution

It introduces a ring geometry with flux for detecting Majorana bound states and demonstrates how Fourier analysis can differentiate them from Andreev states.

Findings

Pumped charge is negligible in most configurations without multiply connected geometry.

Aharonov-Bohm ring geometry enables net charge pumping through Majorana states.

Fourier transform of pumped charge reveals clear signatures distinguishing Majorana from Andreev bound states.

Abstract

We study adiabatic charge pumping through a Majorana bound state tunnel coupled to multiple normal leads. We show that for most of the parameters such a pump does not lead to any net pumped charge between the various leads unless a multiply connected geometry is implemented. We introduce an Aharonov-Bohm ring geometry at the junction to implement such a multiply connected geometry. We further show that the Fourier transform of the pumped charge with respect to flux inserted through the ring shows a clear distinction between the case of an Andreev bound state and the Majorana bound state. Hence such a Fourier analysis can serve as a diagnostic for the detection of Majorana bound states in the proposed geometry.