# Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder

## TL;DR

This paper investigates how Majorana zero modes in the bulk influence electrical and thermal equilibration at the Anti-Pfaffian edge, potentially explaining recent experimental observations of quantized heat transport.

## Contribution

It introduces a model for partial equilibration of edge modes due to Majorana disorder, highlighting differences in charge and heat transport length scales.

## Key findings

- Majorana tunneling affects edge mode equilibration
- Discrepancy between charge and heat equilibration lengths
- Potential explanation for quantized heat transport observations

## Abstract

We consider electrical and thermal equilibration of the edge modes of the Anti-Pfaffian quantum Hall state at $\nu=5/2$ due to tunneling of the Majorana edge mode to trapped Majorana zero modes in the bulk. Such tunneling breaks translational invariance and allows scattering between Majorana and other edge modes in such a way that there is a parametric difference between the length scales for equilibration of charge and heat transport between integer and Bose mode on the one hand, and for thermal equilibration of the Majorana edge mode on the other hand. We discuss a parameter regime in which this mechanism could explain the recent observation of quantized heat transport [Banerjee et all, Nature 559, 7713 (2018)].