# Magnon Landau levels and emergent supersymmetry in strained antiferromagnets

## TL;DR

This paper demonstrates how applying inhomogeneous strain to a honeycomb antiferromagnet can create magnon Landau levels with emergent supersymmetry, offering a new way to engineer quantum states of matter.

## Contribution

It introduces a method to generate magnon Landau levels in antiferromagnets via strain, revealing emergent supersymmetry and providing protocols for quantized magnon spectra.

## Key findings

- Strain induces pseudo-Landau levels in magnon spectra.
- Emergent supersymmetry appears at the upper end of the spectrum.
- A strain protocol achieves perfectly quantized magnon Landau levels.

## Abstract

Inhomogeneous strain applied to lattice systems can induce artificial gauge fields for particles moving on this lattice. Here we demonstrate how to engineer a novel state of matter, namely an antiferromagnet with a Landau-level excitation spectrum of magnons. We consider a honeycomb-lattice Heisenberg model and show that triaxial strain leads to equally spaced pseudo-Landau levels at the upper end of the magnon spectrum, with degeneracies characteristic of emergent supersymmetry. We also present a particular strain protocol which induces perfectly quantized magnon Landau levels over the whole bandwidth. We discuss experimental realizations and generalizations.