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.

arXiv comment5 pages, 3 figures v2: updated to match published version.

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• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
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• Quantum Magnetism in Minerals
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• Spin Liquid Ground State in the Frustrated Kagome Antiferromagnet MgCu3(OH)6Cl2
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• Identification of Strongly Correlated Spin Liquid in Herbertsmithite
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• New state of matter: heavy-fermion systems, quantum spin liquids, quasicrystals, cold gases, and high temperature superconductors
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