# Disordered Quantum Transport in Quantum Anomalous Hall Insulator-Superconductor Junctions

## TL;DR

This paper numerically investigates how disorder affects quantum transport in quantum anomalous Hall insulator-superconductor junctions, revealing the critical role of multiple edge modes in Andreev conversion processes.

## Contribution

It introduces a numerical study of disordered transport in QAH insulator-superconductor junctions focusing on multiple edge modes and their impact on Andreev conversion.

## Key findings

- Multiple chiral edge modes enhance Andreev conversion.
- Non-chiral metallic modes also promote Andreev conversion.
- Single chiral edge mode suppresses Andreev conversion.

## Abstract

In this communication, we numerically studied disordered quantum transport in a quantum anomalous Hall insulator-superconductor junction based on the effective edge model approach. In particular, we focus on the parameter regime with the free mean path due to elastic scattering much smaller than the sample size and discuss disordered transport behaviors in the presence of different numbers of chiral edge modes, as well as non-chiral metallic modes. Our numerical results demonstrate that the presence of multiple chiral edge modes or non-chiral metallic modes will lead to a strong Andreev conversion, giving rise to half-electron half-hole transmission through the junction structure, in sharp contrast to the suppression of Andreev conversion in the single chiral edge mode case. Our results suggest the importance of additional transport modes in the quantum anomalous Hall insulator-superconductor junction and will guide the future transport measurements.