Cross-correlations mediated by Majorana bound states

TL;DR

This paper investigates how Majorana bound states influence current correlations in a double quantum dot system, revealing unique symmetry properties and conditions for vanishing cross correlations due to nonlocal MBS effects.

Contribution

It introduces a novel analysis of cross-correlations mediated by Majorana bound states, highlighting their impact on transport properties and spectral symmetries.

Findings

Distinct symmetry and antisymmetry in spectral density due to MBSs

Vanishing cross correlation when a dot-level resonates with the Majorana zero mode

Unusual behaviors in current correlations induced by nonlocal MBSs

Abstract

We consider the correlated parallel transport through two quantum dots which are tunnel-coupled to the ends of a semiconductor nanowire where the Majorana bound states (MBSs) may emerge under proper conditions. In terms of the cross-correlation of currents, we reveal unusual behaviors originated from the nonlocal MBSs, including such as the distinct symmetry and antisymmetry of the spectral density in response to the dot-level modulations, and the vanished cross correlation occurred when any of the dot-levels is in resonance with the Majorana zero mode.