Transport properties of hybrid topological superconductor devices in contact with an environment

TL;DR

This paper studies how environmental interactions affect transport in one-dimensional topological superconductor devices, revealing suppression of non-local correlations and asymmetries in local transport properties.

Contribution

It provides analytical solutions and insights into environmental effects on Majorana edge states in quantum wires, highlighting suppression of non-local correlations.

Findings

Non-local current correlations decay exponentially with environment coupling and wire length.

Local transport properties develop energy-resolved asymmetries.

Analytical solutions elucidate environmental impact on topological superconductors.

Abstract

We investigate transport properties of different realizations of one-dimensional quantum wires coupled to a number of external electrodes in terms of the full counting statistics. Focusing on the set-ups in which edge states of Majorana type are realizable we analyze the effects of the exchange of charge carriers with the environment. We find a very strong suppression of the non-local current correlations, which decay exponentially with the coupling strength and the wire length. The local properties such as transport currents and current correlations measured at individual contacts between the wire and external electrode turn out to develop asymmetry when energy-resolved. We provide a number of exact analytical solutions and discuss experimental implications of our findings.