Spin liquid close to a quantum critical point in Na${}_4$Ir${}_3$O${}_8$

Abstract

Na${}_4$Ir${}_3$O${}_8$ is a candidate material for a 3-dimensional quantum spin-liquid on the hyperkagome lattice. We present thermodynamic measurements of heat capacity $C$ and thermal conductivity $\kappa$ on high quality polycrystalline samples of Na${}_4$Ir${}_3$O${}_8$ down to $T=500$ mK and $75$ mK, respectively. Absence of long-range magnetic order down to $T=75$ mK strongly supports claims of a spin-liquid ground state. The constant magnetic susceptibility $\chi$ below $T\approx 25$ K and the presence of a small but finite linear-$T$ term in $C(T)$ suggest the presence of gapless spin excitations. Additionally, the magnetic Gr$\ddot{\mathrm{u}}$neisen ratio shows a divergence as $T\to 0$ K and a scaling behavior which clearly demonstrates that Na${}_4$Ir${}_3$O${}_8$ is situated close to a zero-field QCP.

5 pages, 4 figures, PRB rapid, in press

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