Correlations, spin dynamics, defects: the highly-frustrated Kagomé bilayer

Abstract

The SrCr$\_9p$Ga$\_12-9p$O$\_19$ and Ba$\_2$Sn$\_2$ZnGa$\_10-7p$Cr$\_7p$O$\_22$ compounds are two highly-frustrated magnets possessing a quasi-two-dimensional Kagomé bilayer of spin 3/2 chromium ions with antiferromagnetic interactions. Their magnetic susceptibility was measured by local Nuclear Magnetic Resonance and non-local (SQUID) techniques, and their low-temperature spin dynamics by Muon Spin Resonance. Consistent with the theoretical picture drawn for geometrically frustrated systems, the Kagomé bilayer is shown here to exhibit: (i) short range spin-spin correlations down to a temperature much lower than the Curie-Weiss temperature, no conventional long-range transition occurring; (ii) a Curie contribution to the susceptibility from paramagnetic defects generated by spin vacancies; (iii) low-temperature spin fluctuations, at least down to 30 mK, which are a trademark of a dynamical ground state. These properties point to a spin-liquid ground state, possibly built on Resonating Valence Bonds with unconfined spinons as the magnetic excitations.

21 pages, 24 figures

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• Low-dimensional quantum magnetism in Cu(NCS)${}_2$: A molecular framework material
• Ground State of the Easy-Axis Rare-Earth Kagomé Langasite Pr${}_3$Ga${}_5$SiO${}_{14}$
• Spin Jam: a quantum-fluctuation-induced glassy state of a frustrated magnet
• Dynamic Spin Fluctuations in the Frustrated A-site Spinel CuAl2O4
• Static impurities in the S=3/2 kagome lattice
• Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer
• Local spin dynamics in geometrically frustrated Mo pyrochlore antiferromagnet Lu${}_2$Mo${}_2$O${}_{5-y}$N${}_2$
• Zero-point entropies of spin-jam and spin-glass states in a frustrated magnet
• Signature of BKT-like spin transport in a quasi-2D antiferromagnet BaNi${}_2$V${}_2$O${}_8$
• Survival of magnetic correlations above ordering temperature in a ferromagnetically ordered classical kagomé magnet: Li9Cr3(P2O7)3(PO4)2