# Comment on arxiv:1902.06475v1, "Magnetisation plateaus of the quantum pyrochlore Heisenberg antiferromagnet"

## TL;DR

This paper comments on previous work about magnetization plateaus in quantum pyrochlore antiferromagnets, highlighting additional plateau states and providing an exact wavefunction for one of them.

## Contribution

It identifies and discusses additional magnetization plateaus in pyrochlore magnets not covered in the original paper, including an exact wavefunction for the 5/6 plateau.

## Key findings

- Identification of layered Kagome-like plateaus in pyrochlore magnets.
- Derivation of an exact wavefunction for the 5/6 plateau state.
- Extension of previous arguments to include new plateau states.

## Abstract

This short note documents some of the pyrochlore magnetization plateaus resulting from the arguments of Pal & Lal that were not mentioned in arxiv:1902.06475v1. These are (layered) "Kagome"-like plateaus that are commensurate with the pyrochlore lattice, including an exact wavefunction for the $\frac{m}{m_s} = \frac{5}{6}$ plateau state.