标题： Cr掺杂的RuO$_2$中反常霍尔效应的起源 显示英文标题

标题： Origin of Anomalous Hall effect in Cr-doped RuO$_2$

摘要： RuO$_2$是反铁磁性中最受关注的候选材料之一。 然而，最近的μ子自旋光谱和中子研究显示该系统中不存在磁序。 RuO$_2$的电子结构暗示在空穴掺杂后有可能实现磁序，这种可能性在Cr掺杂的RuO$_2$中进行了实验探索，研究表明该系统由于反铁磁性而表现出异常霍尔效应（AHE）。 在本文中，基于我们的密度泛函计算，我们重新审视了该系统的实验结果，并提出了对实验结果的不同解释。 我们的计算表明额外的空穴被Cr杂质束缚，不会掺杂到Ru带中，Ru带保持非磁性。 因此，观察到的AHE不是由于反铁磁性，而是完全来自磁性的Cr离子。 显示英文摘要

摘要： RuO$_2$ is one of the most highlighted candidates for altermagnetism. However, the most recent muon spin spectroscopy and neutron studies demonstrated the absence of magnetic order in this system. The electronic structure of RuO$_2$ hints at a possibility of realizing a magnetically ordered state upon hole doping, and such a possibility was explored experimentally in Cr-doped RuO$_2$, where it was suggested that this system exhibits the anomalous Hall effect (AHE) due to altermagnetism. In this manuscript, based on our density functional calculations, we revise the results obtained for this system and propose a different interpretation of experimental results. Our calculations suggest that extra holes are bound to Cr impurity and do not dope Ru bands, which remain nonmagnetic. Thus, the observed AHE is not due to the altermagnetism but stems entirely from magnetic Cr ions.