How to identify and characterize strongly correlated topological semimetals

Diana M Kirschbaum, Monika Lužnik, Gwenvredig Le Roy, Silke Paschen
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Abstract

How strong correlations and topology interplay is a topic of great current interest. In this perspective paper, we focus on correlation-driven gapless phases. We take the time-reversal symmetric Weyl semimetal as an example because it is expected to have clear (albeit nonquantized) topological signatures in the Hall response and because the first strongly correlated representative, the noncentrosymmetric Weyl–Kondo semimetal Ce3Bi4Pd3, has recently been discovered. We summarize its key characteristics and use them to construct a prototype Weyl–Kondo semimetal temperature-magnetic field phase diagram. This allows for a substantiated assessment of other Weyl–Kondo semimetal candidate materials. We also put forward scaling plots of the intrinsic Berry-curvature-induced Hall response vs the inverse Weyl velocity—a measure of correlation strength, and vs the inverse charge carrier concentration—a measure of the proximity of Weyl nodes to the Fermi level. They suggest that the topological Hall response is maximized by strong correlations and small carrier concentrations. We hope that our work will guide the search for new Weyl–Kondo semimetals and correlated topological semimetals in general, and also trigger new theoretical work.
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如何识别和表征强相关拓扑半金属
强相关性和拓扑结构如何相互作用,是当前备受关注的话题。在这篇视角论文中,我们重点讨论相关性驱动的无间隙相。我们以时间反向对称的韦尔半金属为例,因为它有望在霍尔响应中具有清晰的(尽管是非量化的)拓扑特征,而且最近发现了第一个强相关的代表--非五次对称韦尔-孔多半金属 Ce3Bi4Pd3。我们总结了它的主要特征,并利用这些特征构建了 Weyl-Kondo 半金属温度-磁场相图原型。这样就可以对其他 Weyl-Kondo 半金属候选材料进行有据可依的评估。我们还提出了贝里曲率诱导的本征霍尔响应与反韦尔速度(衡量相关性强度的指标)的比例图,以及与反电荷载流子浓度(衡量韦尔节点与费米级的接近程度的指标)的比例图。他们认为,强相关性和小载流子浓度可使拓扑霍尔响应最大化。我们希望我们的研究工作能为寻找新的 Weyl-Kondo 半金属和一般相关拓扑半金属提供指导,并引发新的理论研究。
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