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Structures of magnetic excitations in the spin-$$frac{1}{2}$$ kagome-lattice antiferromagnets Cs$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$ and Rb$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$

Saito, Mutsuki*; Takagishi, Ryunosuke*; Kurita, Nubuyuki*; Watanabe, Masari*; Tanaka, Hidekazu*; Nomura, Ryuji*; Fukumoto, Yoshiyuki*; Ikeuchi, Kazuhiko*; Kajimoto, Ryoichi  

Cs$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$ is a spin-$$frac{1}{2}$$ antiferromagnet on a nearly uniform kagome lattice. This compound undergoes magnetic ordering with the $$q$$ = 0 structure and positive chirality, which is mainly caused by the large Dzyaloshinskii-Moriya interaction. Rb$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$ is a spin-$$frac{1}{2}$$ antiferromagnet on a modified kagome lattice with a $$2a$$ $$times$$ $$2a$$ enlarged chemical unit cell at room temperature. Its ground state is a pinwheel valence bond solid (VBS) with an excitation gap. Here, we show the structures of magnetic excitations in Cs$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$ and Rb$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$ investigated by inelastic neutron scattering in wide energy and momentum ranges. For Cs$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$, four single-magnon excitation modes were observed. It was confirmed that the energy of single-magnon excitations arising from the $$Gamma'$$ point in the extended Brillouin zones is largely renormalized downwards. It was found that the broad excitation continuum without a marked structure spreads in a wide energy range from $$0.15J$$ to approximately $$2.5J$$. These findings strongly suggest spinon excitations as elementary excitations in Cs$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$. In Rb$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$, singlet-triplet excitations from the pinwheel VBS state and their ghost modes caused by the enlargement of the chemical unit cell were clearly confirmed. It was found that the excitation continuum is structured in the low-energy region approximately below $$J_mathrm{avg}$$ and the almost structureless high-energy excitation continuum extends to approximately $$2.6J_mathrm{avg}$$. The characteristics of the high-energy excitation continuum are common to both Cs$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$ and Rb$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$, irrespective of their ground states. The experimental results strongly suggest that the spin liquid component remains in the ground state as quantum fluctuations in Cs$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$ and Rb$$_{2}$$Cu$$_{3}$$SnF$$_{12}$$.



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Category:Materials Science, Multidisciplinary



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