Abstract
Fifteen years since its inception, the Kitaev model still boasts only a narrow group of material realizations. The progress in studying and understanding one of them, lithium iridate available in three polymorphs that host strong Kitaev interactions on spin lattices of different dimensionality and topology, is reviewed. Feasibility, effectiveness, and repercussions of tuning strategies based on the application of external pressure and chemical substitutions are also discussed.
Highlights
Recent interest triggered by prospects of the Kitaev physics has led to an extensive reinvestigation of the layered α-Li2IrO3 polymorph that was shown to be magnetically ordered below TN ≃ 15 K,[21] in contrast to the earlier report where no magnetic order was found.[22]
The departure of all Li2IrO3 polymorphs from the pure Kitaev model is cemented by the presence of long-range magnetic order below T N 1⁄4 15 K[59] (α), 37–38 K[23] (β), and 40 K[60] (γ)
As the first decade of Li2IrO3 research comes to an end, it is time to summarize several important insights and lessons gained from this material, as well as outline possible directions for future studies: First, structural diversity of Li2IrO3 polymorphs has been the main trigger for exploring Kitaev model beyond planar honeycomb geometry. 3D versions of this model received broad attention only after they materialized in β and γ-polymorphs of Li2IrO3
Summary
(they are neither bosons nor fermions) and create interesting opportunities for topological quantum computing.[2]. Different extensions of the Kitaev model were considered over some of the most intriguing and enigmatic properties in condensed-matter systems.[1] Understanding the nature of these quantum states and elucidating their behavior remains a the past years Details of these extended models, along with basic properties of the parent Kitaev model itself, can be found in several review articles.[5,6,7] Another interesting direction has been formidable challenge, because relevant microscopic models the search for real-world manifestations of the Kitaev physics are notoriously difficult or even impossible to solve.
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