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We report the magnetic properties in the Co- and Zn-doped spin-1/2honeycomb-lattice compound In$_3$Cu$_2$VO$_9$. The magnetic susceptibility andspecific heat experiments show no long-range ordering down to 2 K inIn$_3$Cu$_2$VO$_9$. In the low temperature range, approximatelyT$^{2}$-dependent magnetic specific heat and linearly T-dependent spinsusceptibility were observed, suggesting a spin liquid candidate with a S = 1/2honeycomb lattice. When Cu$^{2+}$ ions are partially substituted by Co$^{2+}$ions, both impurity potential scattering and magnetic impurity scatteringinduced by magnetic Co$^{2+}$ ions break the homogenous spin-singlet spinliquid state, and lead to an antiferromagnetic(AFM) long-range correlation.While replacing Cu$^{2+}$ with nonmagnetic Zn$^{2+}$ ions, the frustration andantiferromagnetic correlation between Cu$^{2+}$ ions is weakened, leading tobreakage of a spin liquid state and suppression of the low-dimensional AFM.

Magnetic properties in the doped spin-1/2 honeycomb-lattice compound In$_3$Cu$_2$VO$_9$