Topological Thermal Hall Effect in Frustrated Kagomé Antiferromagnets

Abstract

In frustrated magnets the Dzyaloshinsky-Moriya interaction arising from spin-orbit coupling can induce a magnetic long-range order. Here, we report a theoretical prediction of thermal Hall effect in frustrated kagomé magnets such as KCr${}_3$(OH)${}_6$(SO4)${}_2$ and KFe${}_3$(OH)${}_6$(SO${}_4$)${}_2$. The thermal Hall effects in these materials are induced by scalar spin chirality as opposed to DMI in previous studies. The scalar spin chirality originates from magnetic-field-induced chiral spin configuration due to non-coplanar spin textures, but in general it can be spontaneously developed as a macroscopic order parameter in chiral quantum spin liquids. Therefore, we infer that there is a possibility of thermal Hall effect in frustrated kagomé magnets such as herbertsmithite ZnCu${}_3$(OH)${}_6$Cl${}_2$ and the chromium compound Ca${}_{10}$Cr${}_7$O${}_{28}$, although they also show evidence of magnetic order in the presence of a magnetic field or pressure.

6 pages, 5 figures. PRB Accepted

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• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
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• Magnon bands and transverse transport in a proposed two-dimensional $C{u}_2{F}_5$ ferrimagnet
• Magnon topology driven by altermagnetism
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields
• Spin order, spin excitations, and RIXS spectra of spin-1/2 tetramer chains
• Topological phases of monolayer and bilayer depleted Lieb lattices
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• Revealing Spin and Spatial Symmetry Decoupling: New Insights into Magnetic Systems with Dzyaloshinskii-Moriya Interaction