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

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.

arXiv comment12 pages, 13 figures

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• Multipolar edge states in the breathing kagome model
• Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl${}_3$ ($X=$ Tl, K)
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Topological phases of higher Chern numbers in Kitaev-Heisenberg ferromagnet with further-neighbor interactions
• Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction
• Tuning bulk topological magnon properties with light-induced magnons
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Intrinsic suppression of topological thermal Hall effect in an exactly solvable quantum magnet
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions