Dynamic Scaling in the Susceptibility of the Spin-1\2 Kagome Lattice Antiferromagnet Herbertsmithite

Abstract

The spin-1/2 kagome lattice antiferromagnet herbertsmithite, ZnCu${}_3$(OH)${}_6$Cl${}_2$, is a candidate material for a quantum spin liquid ground state. We show that the magnetic response of this material displays an unusual scaling relation in both the bulk ac susceptibility and the low energy dynamic susceptibility as measured by inelastic neutron scattering. The quantity $\chi T^{\alpha }$ with $\alpha \simeq 0.66$ can be expressed as a universal function of $H/T$ or $\omega /T$. This scaling is discussed in relation to similar behavior seen in systems influenced by disorder or by the proximity to a quantum critical point.

5 pages, 3 figures v2: updated to match published version.

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• Experimental signatures of quantum and topological states in frustrated magnetism
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• Kitaev Quantum Spin Liquids
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• Scaling in Dynamic Susceptibility of Herbertsmithite and Heavy-Fermion Metals
• Quantum criticality in the coupled two-leg spin ladder Ba2CuTeO6
• Quantum phases of the frustrated XY models on the honeycomb lattice
• Structure factor of low-energy spin excitations in a S=1/2 kagome antiferromagnet
• Infrared phonons as a probe of a spin-liquid states in herbertsmithite ZnCu3(OH)6Cl2
• Thermodynamic, magnetic and transport properties of the repulsive Hubbard model on the kagome lattice
• Spin liquid in twisted homobilayers group-VI gichalcogenides
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Random singlet state in Ba${}_5$CuIr${}_3$O${}_{12}$ single crystals
• Quantum critical spin-liquid-like behavior in S = 1/2 quasikagome lattice CeRh1-xPdxSn investigated using muon spin relaxation and neutron scattering
• Evidence for a Parity Broken Monoclinic Ground State in the S = 1/2 Kagomé Antiferromagnet Herbertsmithite
• Nuclear relaxation rates in the Herbertsmithite Kagome antiferromagnets ZnCu3(OH)6Cl2
• Strongly correlated Fermi systems as a new state of matter
• Universal $T/B$ scaling behavior of heavy fermion compounds
• Power-law dynamics in the spin-liquid kagome lattices SrCr8Ga4O19 and ZnCu3(OH)6Cl2
• Orbital disorder and ordering in NaTiSi2O6: 29Si and 23Na NMR Study
• Spinon mediation of witness spin dynamics in herbertsmithite
• Ultra spin liquid in $\mathrm{L}{\mathrm{u}}_3\mathrm{C}{\mathrm{u}}_2\mathrm{S}{\mathrm{b}}_3{\mathrm{O}}_{14}$
• Electron correlation effects and spin-liquid state in the Herbertsmithite Kagome lattice