Tunneling between Two Helical Superconductors via Majorana Edge Channels

TL;DR

This paper investigates electric transport through a point contact between two helical superconductors hosting Majorana edge modes, highlighting interference, interaction effects, and the influence of spin-orbit interaction on conductance behaviors.

Contribution

It provides a detailed analysis of Majorana fermion tunneling, interference effects, and the role of spin-orbit interaction in transport properties of helical superconductors.

Findings

Conductance depends on phase difference and helicity.

Interaction induces power-law temperature dependence.

Spin-orbit interaction causes conductance to increase at lower temperatures.

Abstract

We discuss electric transport through a point contact which bridges Majorana fermion modes appearing at edges of two helical superconductors. The contents focus on effects of interference and interaction unique to the Majorana fermions and role of spin-orbit interaction (SOI). Besides the Josephson current, the quasi-particle conductance depends sensitively on phase difference and relative helicity between the two superconductors. The interaction among the Majorana fermions causes the power-law temperature dependences of conductance for various tunneling channels. Especially, in the presence of SOI, the conductance always increases as the temperature is lowered.