# Floquet Topological Magnons

## TL;DR

This paper introduces Floquet topological magnons, showing how circularly polarized laser fields can induce tunable topological phases and thermal Hall effects in quantum magnets by generating synthetic Dzyaloshinskii-Moriya interactions.

## Contribution

It presents a novel mechanism to generate and control topological magnon phases using Floquet engineering with laser fields in quantum magnets.

## Key findings

- Laser-induced DMI enables tunable topological magnon phases.
- Floquet formalism predicts tunable thermal Hall conductivity.
- Magnons can be transformed into Chern insulators and Weyl magnons.

## Abstract

We introduce the concept of Floquet topological magnons --- a mechanism by which a synthetic tunable Dzyaloshinskii-Moriya interaction (DMI) can be generated in quantum magnets using circularly polarized electric (laser) field. The resulting effect is that Dirac magnons and nodal magnons in two-dimensional (2D) and three-dimensional (3D) quantum magnets can be tuned to magnon Chern insulators and Weyl magnons respectively under circularly polarized laser field. The Floquet formalism also yields a tunable intrinsic DMI in insulating quantum magnets without an inversion center. We demonstrate that the Floquet topological magnons possess a finite thermal Hall conductivity tunable by the laser field.