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Spin-Liquid State in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Hyperkagome Antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Na</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:msub><mml:mi>Ir</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>8</mml:mn></mml:msub></mml…
A spinel related oxide, ${\mathrm{Na}}_{4}{\mathrm{Ir}}_{3}{\mathrm{O}}_{8}$, was found to have a three dimensional network of corner shared ${\mathrm{Ir}}^{4+}$ ($t_{2g}{}^{5}$) triangles. This gives rise to an antiferromagnetically coupled $S=1/2$ spin system formed on a geometrically frustrated hyperkagome lattice. Magnetization $M$ and magnetic specific heat ${C}_{m}$ data showed the absence of long range …