Tunneling between helical Majorana modes and helical Luttinger liquids

TL;DR

This paper investigates charge transport between helical Majorana modes and helical Luttinger liquids through quantum point contacts, revealing how interactions influence conductance and interference effects.

Contribution

It introduces a detailed analysis of tunneling between Majorana modes and Luttinger liquids, highlighting the impact of interactions and contact configurations on conductance features.

Findings

Differential conductance decreases with stronger repulsive interactions.

Point contacts become insulating above a critical interaction strength.

Interference effects modulate resonance peaks in double contact setups.

Abstract

We propose and study the charge transport through single and double quantum point contacts setup between helical Majorana modes and an interacting helical Luttinger liquid. We show that the differential conductance decreases for stronger repulsive interactions and that the point contacts become insulating above a critical interaction strength. For a single point contact, the differential conductance as a function of bias voltage shows a series of peaks due to Andreev reflection of electrons in the Majorana modes. In the case of two point contacts, interference phenomena make the structure of the individual resonance peaks less universal and show modulations with different separation distance between the contacts. For small separation distance the overall features remain similar to the case of a single point contact.