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We present the results of our $^{13}$C NMR study of the quasi-two-dimensionalorganic conductor $\theta$-(BEDT-TTF)$_2$I$_{3}$ under pressure, which issuggested to be a zero-gap conductor by transport measurements. We found thatNMR spin shift is proportional to $T$ and that spin-lattice relaxation ratefollows the power law $T^{\alpha}$ ($\alpha =3 \sim 4$), where $T$ is thetemperature. This behavior is consistent with the cone-like band dispersion andprovides microscopic evidence for the realization of the zero-gap state in thepresent material under pressure.

$^{13}$C NMR Study on Zero-Gap State in the Organic Conductor $\theta$-(BEDT-TTF)$_{2}$I$_{3}$ under Pressure