Predominance of the Kitaev interaction in a three-dimensional honeycomb iridate: from ab-initio to spin model

preprint2016arXivOpen access

Abstract

The recently discovered three-dimensional hyperhoneycomb iridate, ββ-Li2_2IrO3_3, has raised hopes for the realization of dominant Kitaev interaction between spin-orbit entangled local moments due to its near-ideal lattice structure. If true, this material may lie close to the sought-after quantum spin liquid phase in three dimensions. Utilizing ab-initio electronic structure calculations, we first show that the spin-orbit entangled basis, jeffj_{\rm eff}=1/2, correctly captures the low energy electronic structure. The effective spin model derived in the strong coupling limit supplemented by the ab-initio results is shown to be dominated by the Kitaev interaction. We demonstrated that the possible range of parameters is consistent with a non-coplanar spiral magnetic order found in a recent experiment. All of these analyses suggest that ββ-Li2_2IrO3_3 may be the closest among known materials to the Kitaev spin liquid regime.

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