Coulomb interaction unlocks Majorana-mediated electron teleportation between Quantum dots

TL;DR

This paper demonstrates that Coulomb interaction between quantum dots and Majorana zero modes enables electron teleportation by lifting degeneracy and enhancing nonlocal correlations, offering a new control mechanism for Majorana-mediated transport.

Contribution

It reveals how Coulomb interaction can facilitate Majorana-mediated electron teleportation in quantum dot systems, especially when Majorana coupling is negligible.

Findings

Coulomb interaction lifts channel degeneracy, enabling electron teleportation.

Strong nonlocal correlations are observed via cross-correlation noise spectrum.

Coulomb interaction is an effective control parameter for nonlocal transport.

Abstract

We investigate quantum transport in a hybrid system composed of two quantum dots (QDs) coupled through a pair of spatially separated Majorana zero modes (MZMs) with negligible coupling energy. We focus on nonlocal correlations mediated by the MZMs, particularly the role of Coulomb interaction U between the QDs and the Majorana wire. Using the numerically exact fermionic dissipation equation of motion (DEOM) method, we compute both the transient current and the current-current cross-correlation noise spectrum. In the non-interacting case (U=0), destructive interference between the degenerate normal tunneling and anomalous tunneling channels suppresses electron teleportation between the dots. Introducing a finite Coulomb interaction $U$ lifts this channel degeneracy, enabling strong nonlocal correlations and inter-dot electron teleportation. This effect manifests as a robust signal in the cross-correlation noise spectrum, which is significantly stronger than that induced by a finite Majorana coupling energy $\varepsilon_{M}$. Our findings propose Coulomb interaction as an efficient and experimentally accessible control parameter for generating and detecting Majorana-mediated nonlocal transport in the topologically relevant long-wire limit ($\varepsilon_{M}\rightarrow0$).