Models and materials for generalized Kitaev magnetism

This is the authors' abstract. We don't add key points for this paper.

The exactly solvable Kitaev model on the honeycomb lattice has recently received enormous attention linked to the hope of achieving novel spin-liquid states with fractionalized Majorana-like excitations. In this review, we analyze the mechanism proposed by Jackeli and Khaliullin to identify Kitaev materials based on spin-orbital dependent bond interactions and provide a comprehensive overview of its implications in real materials. We set the focus on experimental results and current theoretical understanding of planar honeycomb systems (Na 2 IrO 3 , α -Li 2 IrO 3 , and α -RuCl 3 ), three-dimensional Kitaev materials ( β - and γ -Li 2 IrO 3 ), and other potential candidates, completing the review with the list of open questions awaiting new insights.