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Experimental and theoretical studies are performed on La3Ir3O11, an iridatehosting a +4.33 fractional valence state for Ir ions and a three-dimensionalfrustrated structure composed of edge-shared Ir2O10 dimers. These features areexpected to enhance inter-site hoppings and reduce magnetic moments of Ir ions.However, a spin-orbit driven Mott insulating transport is observed, which issupported by our first principles calculations. Most importantly, geometricalfrustration and competing interactions result in a non-Curie-Weiss paramagneticground state, revealing no magnetic order down to 2 K. This unusual state isfurther demonstrated by a theoretical modeling process, suggesting a possiblecandidate for the spin liquid state.

Frustration induced non-Curie-Weiss paramagnetism in La3Ir3O11: a fractional-valence-state iridate