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We have successfully synthesized the novel antiferromagnets with Ir$^{4+}$honeycomb lattice ZnIrO$_3$ and MgIrO$_3$ and investigated their magnetic andthermodynamic properties. The two iridates are isomorphic but exhibitqualitatively different magnetic properties. ZnIrO$_3$ shows antiferromagneticordering below 46.6 K, whereas MgIrO$_3$ displays weak ferromagnetic behaviorbelow 31.8 K owing to formation of a canted antiferromagnetic ordering. Themeasurement of magnetic susceptibility with using an oriented powder samplerevealed the presence of an XY-like magnetic anisotropy and a tilting magneticstructure which is possibly stabilized by the Kitaev interaction. Moreover,magnetization curves of MgIrO3 and ZnIrO3 up to 60 T show different behaviors,demonstrating that each magnetic ground state is different with each other. Wediscuss the difference in the ground state between MgIrO$_3$ and ZnIrO$_3$ fromthe viewpoint a magnetic model consisting of the Kitaev andDzyaloshinskii-Moriya interactions with the spin frustration effect on thehoneycomb lattice.

Magnetic ordering with an XY-like anisotropy in the honeycomb lattice iridates ZnIrO$_3$ and MgIrO$_3$ synthesized via a metathesis reaction