Majorana Conductances in Three-Terminal Transports

TL;DR

This paper investigates nonlocal transport phenomena in a three-terminal setup with Majorana zero modes, revealing new conductance features and scaling behaviors that can be experimentally tested.

Contribution

It introduces a Majorana master equation approach and a modified BdG method to analyze transport, uncovering nonvanishing teleportation channels at zero coupling.

Findings

Existence of nonvanishing teleportation channels at zero MZM coupling

Predictions for zero-bias conductance peak height

Scaling behavior of teleportation conductance with coupling energy

Abstract

We consider a two-lead (three-terminal) setup of nonlocal transport through Majorana zero modes (MZMs) and construct a Majorana master equation (which is also valid for small bias voltage). We first carry out representative results of current and then show that a modified Bogoliubov-de Gennes (BdG) treatment can consistently recover the same results. Based on the interplay of the two approaches, we reveal the existence of nonvanishing channels of teleportation and crossed Andreev reflections even at the limit $\epsilon_M\to 0$ (zero coupling energy of the MZMs), which leads to new predictions for the height of the zero-bias-peak of the local conductance and the $\epsilon_M$-scaling behavior of the teleportation conductance, for verification by experiments.