We review the recent advances and current challenges in the field of strong spin-orbit coupled Kitaev materials, with a particular emphasis on the physics beyond the exactly-solvable Kitaev spin liquid point. To this end, we present a comprehensive overview of the key exchange interactions in candidate materials with a specific focus on systems featuring effective Jeff=1/2 magnetic moments. This includes, but not limited to, 5d5 iridates, 4d5 ruthenates and 3d7 cobaltates. Our exploration covers the microscopic origins of these interactions, along with a systematic attempt to map out the most intriguing correlated regimes of the multi-dimensional parameter space. Our approach is guided by robust symmetry and duality transformations as well as insights from a wide spectrum of analytical and numerical studies. We also survey higher spin Kitaev models and recent exciting results on quasi-one-dimensional models and discuss their relevance to higher-dimensional models. Finally, we highlight some of the key questions in the field as well as future directions.

中文翻译：

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超越基塔耶夫物理学的强自旋轨道耦合磁体


我们回顾了强自旋轨道耦合基塔耶夫材料领域的最新进展和当前挑战，特别强调了超出精确可解的基塔耶夫自旋液体点的物理学。为此，我们全面概述了候选材料中的关键交换交互，特别关注具有有效特征的系统J有效值= 1 / 2磁矩。这包括但不限于5 d 5虹彩， 4 d 5钌酸盐和3 d 7钴酸盐。我们的探索涵盖了这些相互作用的微观起源，并系统地尝试绘制多维参数空间中最有趣的相关机制。我们的方法以稳健的对称性和对偶变换以及广泛的分析和数值研究的见解为指导。 我们还调查了高自旋 Kitaev 模型和准一维模型的最新令人兴奋的结果，并讨论了它们与高维模型的相关性。最后，我们强调了该领域的一些关键问题以及未来的方向。