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We report a $^{35}$Cl nuclear magnetic resonance (NMR) study of the dilutedKitaev material $\alpha$-Ru$_{1-x}$Ir$_x$Cl$_3$ ($x=0.1$ and $0.2$) wherenon-magnetic Ir$^{3+}$ dopants substitute Ru$^{3+}$ ions. Upon dilution, the$^{35}$Cl spectra exhibit unusual large magnetic inhomogeneity, which sets inat temperatures below the Kitaev exchange energy scale. At the same time, the$^{35}$Cl spin-lattice relaxation rate $T_1^{-1}$ as a function of dilution andmagnetic field unravels a critical doping of $x_c\approx 0.22$, towards whichboth the field-induced spin gap and the zero-field magnetic ordering aresimultaneously suppressed, while novel gapless low-energy spin excitationsdominate the relaxation process. These NMR findings point to the stabilizationof a random singlet phase in $\alpha$-Ru$_{1-x}$Ir$_x$Cl$_3$, arising from theinterplay of dilution and exchange frustration in the quantum limit.

Observation of a random singlet state in a diluted Kitaev honeycomb material