We combine static magnetic susceptibility χ (T ), muon-spin relaxation, and 1 H nuclear magnetic resonance measurements to explore the spin dynamics in the disordered-induced quantum spin liquid candidate H 3 LiIr 2 O 6 . Inverse Laplace transform analysis of the 1 H spin-lattice relaxation rate 1/T 1 enables us to identify two characteristic temperatures T g = 110 K and T * = 26 K. Below T g , a slower 1/T slow 1 component dictated by gapped excitations with a spin gap h = 30-38 K evolves distinctly from a faster 1/T fast 1 component pertaining to gapless excitations. Furthermore, we observe a sub-Curie divergent χ (T ) ∝ T −0.68 , a power-law dependent 1/T fast 1 ∝ T 1.4 , and a weakly activated 1/T slow 1 ∝ exp(− l /k B T ) ( l = 3-6 K) below T * = 26 K. All these features suggest the coexistence of a disordered spin-liquid state and spin singlets with spatially distributed gaps.

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We report on a local-probe study of two-dimensional anisotropic triangular antiferromagnet Ca3ReO5Cl2 using 35Cl nuclear magnetic resonance (NMR) and muon spin relaxation (µSR) techniques. The 35Cl spin-lattice relaxation rate obeys a power-law dependence 1/T1∝T1/2K−1 below 20 K and the intra- and interchain spin diffusion constants deduced from LF-µSR are highly anisotropic in their thermal evolution. Our NMR and µSR data evince that the Tomonaga-Luttinger liquid (one-dimensionalization) is driven by anisotropic spin diffusion. Moreover, we observe a universal scaling of T1/2K−1(1/T1) with K = 1 and a time-field scaling (t/Hγ) of the muon spin polarization with γ = 1 − 1/2K = 0.5. These findings instantiate that Ca3ReO5Cl2 with intermediate spatial anisotropy realizes a quantum critical Tomonaga-Luttinger liquid in the zero-field limit.

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