# Coulomb Blockade in Fractional Topological Superconductors

## TL;DR

This paper investigates charge transport in a fractional quantum Hall-superconductor hybrid system, revealing that parafermionic zero modes induce a quantized zero-bias conductance unaffected by gate voltage at zero temperature.

## Contribution

It provides a theoretical analysis of how parafermionic zero modes influence conductance in fractional topological superconductors, highlighting a universal quantization feature.

## Key findings

- Zero-bias conductance quantized at rac{2}{3}e^2/h at zero temperature
- Transport strongly affected by parafermionic zero modes
- Conductance independent of gate voltage at zero temperature

## Abstract

We study charge transport through a floating mesoscopic superconductor coupled to counterpropagating fractional quantum Hall edges at filling fraction $\nu=2/3$. We consider a superconducting island with finite charging energy and investigate its effect on transport through the device. We calculate conductance through such a system as a function of temperature and gate voltage applied to the superconducting island. We show that transport is strongly affected by the presence of parafermionic zero modes, leading at zero temperature to a zero-bias conductance quantized in units of $\nu e^2/h$ independent of the applied gate voltage.