# Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model

## TL;DR

This paper investigates the topological properties of one-triplon bands in an extended Shastry-Sutherland model, revealing nontrivial Chern numbers and the triplon Hall effect influenced by magnetic fields and interactions.

## Contribution

It introduces a detailed calculation of topological invariants and the triplon Hall effect in a complex quantum magnet model using perturbative continuous unitary transformations.

## Key findings

- Chern numbers of ±1 and ±2 for one-triplon bands with finite magnetic field components
- Demonstration of the triplon Hall effect at finite temperatures
- High-order dispersion calculations including Dzyaloshinskii-Moriya interactions

## Abstract

We study topological properties of one-triplon bands in an extended Shastry-Sutherland model relevant for the frustrated quantum magnet SrCu_2(BO_3)_2. To this end perturbative continuous unitary transformations are applied about the isolated dimer limit allowing to calculate the one-triplon dispersion up to high order in various couplings including intra and inter Dzyaloshinskii-Moriya interactions and a general uniform magnetic field. We determine the Berry curvature and the Chern number of the different one-triplon bands. We demonstrate the occurance of Chern numbers $\pm 1$ and $\pm 2$ for the case that two components of the magnetic field are finite. Finally, we also calculate the triplon Hall effect arising at finite temperatures.