Abstract
We report a combined experimental and theoretical investigation of the magnetic structure of the honeycomb-lattice magnet Na${}_{2}$IrO${}_{3}$, a candidate for a realization of a gapless spin liquid. Using resonant x-ray magnetic scattering at the Ir ${\mathrm{L}}_{3}$ edge, we find three-dimensional long-range antiferromagnetic order below ${T}_{N}=13.3$ K. From the azimuthal dependence of the magnetic Bragg peak, the ordered moment is determined to be predominantly along the $a$ axis. Combining the experimental data with first-principles calculations, we propose that the most likely spin structure is a zig-zag structure.
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