Quantum magnetism in the paratacamite family: towards an ideal kagome lattice

Abstract

We report MuSR measurements on the S=1/2 (Cu2+) paratacamite Zn_xCu_{4-x}(OH)_6Cl_2 family. Despite a Weiss temperature of -300 K, the x=1 compound is found to have no transition to a magnetic frozen state down to 50 mK as theoretically expected for the kagome Heisenberg antiferromagnet. We find that the limit between a dynamical and a frozen inhomogeneous ground state occurs around x=0.5. For x=1, we discuss the relevance to a singlet picture.

Minor changes in the text and fig. 3 and fig.4. Corresponding author: P. Mendels, [email protected]

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• Power-law dynamics in the spin-liquid kagome lattices SrCr8Ga4O19 and ZnCu3(OH)6Cl2
• Evidence for spin liquid behavior in the frustrated three-dimensional $S=1/2$ Heisenberg garnet NaCa${}_2$Cu${}_2$(VO${}_4$)${}_3$
• Exerting chemical pressure on the kagome lattice as frustration control in the kapellasite family $A$Cu${}_3$(OH)${}_{6+x}$(Cl,Br)${}_{3-x}$
• Continuous interpolation between the fully frustrated Ising and quantum dimer models
• New S=1/2 Kagome Antiferromagnets A${}_2$Cu${}_3$SnF${}_{12}$: A=Cs and Rb
• Quantifying the Phase Diagram and Hamiltonian of $S=1/2$ Kagome Antiferromagnets: Bridging Theory and Experiment
• Fluctuating magnetism in Zn-doped averievite with well-separated kagome layers
• Spinon mediation of witness spin dynamics in herbertsmithite
• Evidence for a string-net matter
• Magnetism of kagome metals $\left({\text{Fe}}_{1-x}{\text{Co}}_x\right)\text{Sn}$ studied by $\mu$SR
• Electron correlation effects and spin-liquid state in the Herbertsmithite Kagome lattice
• High-field magnetic properties of the alternating ferro-antiferromagnetic spin-chain compound Cu${}_2$(OH)${}_3$Br
• Emergence of a Fluctuating Ground State in Y-kapellasite under Pressure
• Spin liquid state in a three-dimensional pyrochlore-like frustrated magnet
• Spin Liquid Mimicry in the Hydroxide Double Perovskite CuSn(OH)${}_6$ Induced by Correlated Proton Disorder
• Interplay of disorder and spin liquid physics in the triangular-lattice antiferromagnet YbZn2GaO5