Topological magnon bands in the flux state of Shastry-Sutherland lattice model
Dhiman Bhowmick and Pinaki Sengupta
Phys. Rev. B 101, 214403 (2020) - Published 1 June, 2020
We investigate low-energy magnon excitations above the noncollinear flux state and noncoplanar canted flux state in a Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction (DMI) on a Sashtry-Sutherland lattice. While previous studies have shown the presence of topological magnetic excitation in the dimer and ferromagnetic phases on the Shastry-Sutherland lattice, our results establish the nontrivial topology of magnons in the antiferromagnetic flux and canted flux states. Our results uncover the existence of a multitude of band topology transitions in the magnon sector—evidenced by the changing Chern numbers of the single magnon bands—as the Hamiltonian parameters are varied, even when the ground state remains unchanged. The thermal Hall conductivity is calculated and its derivative is shown to exhibit a logarithmic divergence at the boundaries of band topology transitions, independent of the type of band touching involved. A simple analytical form of the temperature dependence of a logarithmic peak is derived for a generic spin model. This may provide a useful means to identify the energy at which the band topological transition of magnon bands occurs. We also propose the way to realize the studied model in a practical material.
