Singlet Ground State and Spin Gap in S=1/2 Kagome Antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$

Abstract

We investigated the crystal structure of Rb${}_2$Cu${}_3$SnF${}_{12}$ and its magnetic properties using single crystals. This compound is composed of Kagome layers of corner-sharing CuF${}_6$ octahedra with a 2a x 2a enlarged cell as compared with the proper Kagome layer. Rb${}_2$Cu${}_3$SnF${}_{12}$ is magnetically described as an $S$=1/2 modified Kagome antiferromagnet with four kinds of neighboring exchange interaction. From magnetic susceptibility and high-field magnetization measurements, it was found that the ground state is a disordered singlet with the spin gap, as predicted from a recent theory. Exact diagonalization for a 12-site Kagome cluster was performed to analyze the magnetic susceptibility, and individual exchange interactions were evaluated.

5 pages, 4 figures, To appear in J. Phys. Soc. Jpn. Vol. 77 No. 4

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• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
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• Structures of magnetic excitations in the spin-1/2 kagome-lattice antiferromagnets Cs${}_2$Cu${}_3$SnF${}_{12}$ and Rb${}_2$Cu${}_3$SnF${}_{12}$
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• Magnetization plateau and supersolid phases in the spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Breakdown of Linear Spin-wave Theory and Existence of Spinon Bound States in the Frustrated Kagome Lattice Antiferromagnet
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