On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
Ji\v{r}\'i Chaloupka, George Jackeli, and Giniyat Khaliullin

TL;DR
This paper investigates the magnetic phase diagram of honeycomb lattice iridates, revealing the origin of zigzag magnetic order as due to interorbital hopping, and compares theoretical predictions with experimental data to determine spin couplings.
Contribution
It extends the Kitaev-Heisenberg model to its full parameter space and explains the origin of zigzag order in Na2IrO3 and Li2IrO3.
Findings
Zigzag magnetic order occupies a large phase space region.
Interorbital t2g-eg hopping explains zigzag order.
Calculated spin couplings match experimental susceptibility and spectra.
Abstract
We explore the phase diagram of spin-orbit Mott insulators on a honeycomb lattice, within the Kitaev-Heisenberg model extended to its full parameter space. Zigzag-type magnetic order is found to occupy a large part of the phase diagram of the model, and its physical origin is explained as due to interorbital t2g-eg hopping. Magnetic susceptibility and spin wave spectra are calculated and compared to the experimental data, obtaining thereby the spin coupling constants in Na2IrO3 and Li2IrO3.
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