# Emergent reflection symmetry from non-relativistic composite fermions

## TL;DR

This paper demonstrates that the fractional quantum Hall effect and particle-hole symmetry observed experimentally can be explained by both Dirac and non-relativistic composite fermion theories, highlighting the latter's viability.

## Contribution

It shows that experimental results consistent with particle-hole symmetry can be explained by non-relativistic composite fermion theory, not just Dirac theory.

## Key findings

- Experimental fractional quantum Hall gaps align with particle-hole symmetry.
- Both Dirac and non-relativistic composite fermion theories can explain the observations.
- Non-relativistic composite fermions provide an alternative explanation to Dirac fermions.

## Abstract

A recent experimental study [Pan et al., arXiv: 1902.10262] has shown that fractional quantum Hall effect gaps are essentially consistent with particle-hole symmetry in the lowest Landau level. Motivated by this result, we consider a clean two dimensional electron system (2DES) from the viewpoint of composite fermion mean-field theory. In this short note, we show that while the experiment is manifestly consistent with a Dirac composite fermion theory proposed recently by Son, it can equally well be explained within the framework of non-relativistic composite fermions, first put forward by Halperin, Lee, and Read.