Abstract

We have performed high-field multifrequency electron spin resonance (ESR) and high-field magnetization measurements in magnetic fields $H$ of up to 53 T on single crystals of the kagome-lattice antiferromagnet KFe${}_{3}$(OH)${}_{6}$(SO${}_{4}$)${}_{2}$. We have analyzed the magnetization curve and the ESR excitation modes for $H$$\ensuremath{\parallel}$$c$ by using two kinds of anisotropy origins, the Dzyaloshinsky-Moriya (DM) interactions and the single-ion anisotropy, the former of which is inevitable in a kagome-lattice antiferromagnet. We obtained good agreement between experiment and calculation for the case of the DM interactions. In addition, we have clarified the origin of a field-induced metamagnetic transition observed in the magnetization curve and determined the intraplane and interplane exchanges and the DM interaction parameters.

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