Magnetic susceptibilities in a family of S=1/2 Kagome antiferromagnet

Abstract

Hexagonal antiferromagnets Cs${}_2$Cu${}_3$MF${}_{12}$ (M = Zr, Hf and Sn) have uniform Kagome lattices of Cu${}^{2+}$ with S = 1/2, whereas Rb${}_2$Cu${}_3$SnF${}_{12}$ has a 2a by 2a enlarged cell as compared with the uniform Kagome lattice. The crystal data of Cs${}_2$Cu${}_3$SnF${}_{12}$ synthesized first in the present work are reported. We performed magnetic susceptibility measurements on this family of Kagome antiferromagnet using single crystals. In the Cs${}_2$Cu${}_3$MF${}_{12}$ systems, structural phase transitions were observed at $T_t=225$ K, 172 K and 185 K for M = Zr, Hf and Sn, respectively. The magnetic susceptibilities observed for $T>T_t$ are almost perfectly described using theoretical results obtained by exact diagonalization for the 24-site Kagome cluster with $J/k_B=244$ K, 266 K and 240 K, respectively. Magnetic ordering accompanied by the weak ferromagnetic moment occurs at $T_N=23.5$ K, 24.5 K and 20.0 K, respectively. The origins of the weak ferromagnetic moment should be ascribed to the lattice distortion that breaks the hexagonal symmetry of the exchange network for $T<T_t$ and the Dzyaloshinsky-Moriya interaction. Rb${}_2$Cu${}_3$SnF${}_{12}$ is magnetically described as a modified Kagome antiferromagnet with four types of neighboring exchange interaction. Neither structural nor magnetic phase transition was observed in Rb${}_2$Cu${}_3$SnF${}_{12}$. Its magnetic ground state was found to be a spin singlet with a triplet gap. Using exact diagonalization for a 12-site Kagome cluster, we analyzed the magnetic susceptibility and evaluated individual exchange interactions. The causes leading to the different ground states in Cs${}_2$Cu${}_3$SnF${}_{12}$ and Rb${}_2$Cu${}_3$SnF${}_{12}$ are discussed.

12 pages, 9 figures. Submitted to Physical Review B. Errors on Fig. 7 were corrected

References in corpus (22)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Properties of an algebraic spin liquid on the kagome lattice
• Spin chirality on a two-dimensional frustrated lattice
• 17O NMR study of the intrinsic magnetic susceptibility and spin dynamics of the quantum kagome antiferromagnet ZnCu3(OH)6Cl2
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Quantum spin liquid states in the two dimensional kagome antiferromagnets, ZnxCu4-x(OD)6Cl2
• The magnetic groundstate of an experimental $S=1/2$ kagomé antiferromagnet
• ^{63}Cu, ^{35}Cl, and ^{1}H NMR in the S=1/2 Kagomé Lattice ZnCu_{3}(OH)_{6}Cl_{2}
• Low temperature magnetization of the S=1/2 kagome antiferromagnet ZnCu_3(OH)_6Cl_2
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
• Kagome lattice antiferromagnets and Dzyaloshinsky-Moriya interactions
• Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice
• Singlet Ground State and Spin Gap in S=1/2 Kagome Antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Quantum and Classical Spins on the Spatially Distorted Kagome Lattice: Applications to Volborthite
• Heisenberg antiferromagnet with anisotropic exchange on the Kagome lattice: Description of the magnetic properties of volborthite
• Spin Triplet Excitations for a Valence Bond Solid on the Kagome Lattice
• Thermodynamic Properties and Elementary Excitations in Quantum Sine-Gordon Spin System KCuGaF6

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• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• Magnetization plateaus in the spin-1/2 antiferromagnetic Heisenberg model on a kagome-strip chain
• Topology and geometry of spin origami
• The route to magnetic order in the spin-$1/2$ kagome Heisenberg antiferromagnet: The role of interlayer coupling
• Structural phase transitions in the kagome lattice based materials Cs2-xRbxSnCu3F12 (x = 0, 0.5, 1.0, 1.5)
• Structures of magnetic excitations in the spin-1/2 kagome-lattice antiferromagnets Cs${}_2$Cu${}_3$SnF${}_{12}$ and Rb${}_2$Cu${}_3$SnF${}_{12}$
• Ghost modes and continuum scattering in the dimerized distorted kagome lattice antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Partial ferromagnetic ordering and indirect exchange interaction in spatially anisotropic kagome antiferromagnet Cs_2Cu_3CeF_{12}
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Signatures of spin-triplet excitations in optical conductivity of valence bond solids
• Breakdown of Linear Spin-wave Theory and Existence of Spinon Bound States in the Frustrated Kagome Lattice Antiferromagnet
• Two-axis goniometer for single-crystal nuclear magnetic resonance measurements
• Ferromagnetism induced in anisotropic stacked kagome-lattice antiferromagnet Cs${}_2$Cu${}_3$CeF${}_{12}$
• Crystal chemistry criteria of the existence of spin liquids on the kagome lattice
• Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets