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We report magnetization, heat capacity, 7Li - nuclear magnetic resonance(NMR), and muSR (muon spin roration) measurements on the honeycomb 4d5 spinliquid candidate Li2RhO3. The magnetization in small magnetic fields providesevidence of the partial spin-freezing of a small fraction of Rh4+ -moments at 6K, whereas the Curie-Weiss behavior above 100 K suggests a pseudo-spin-1/2paramagnet with a moment of about 2.2 muB. The magnetic specific heat (Cm)exhibits no field dependence and demonstrates the absence of long rangemagnetic order down to 0.35 K. Cm/T passes through a broad maximum at about 10K and Cm=T^2 at low temperatures. Measurements of the spin-lattice relaxationrate (1/T1) reveal a gapless slowing down of spin fluctuations upon coolingwith 1/T1=T^2.2. The results from NMR and muSR are consistent with a scenarioin which a minority of Rh4+ moments are in a ahort-range correlated frozenstate and coexist with a majority of moments in a liquid-like state thatcontinue to fluctuate at low temperatures.

Local Magnetism and Spin Dynamics of the Frustrated Honeycomb Rhodate Li2RhO3