Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
M. Malki, K.P. Schmidt
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.
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 and for the case that two components of the magnetic field are finite. Finally, we also calculate the triplon Hall effect arising at finite temperatures.
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