回复：LaRhIn$_5$中的低频量子振荡：狄拉克点还是节线？
Reply to: Low-frequency quantum oscillations in LaRhIn$_5$: Dirac point or nodal line?
AI总结：
本回复针对相关评论说明研究初衷，指出仅靠朗道扇形图的π相移无法证明拓扑非平庸费米面，提出利用线性色散能带有效质量的能量依赖性带来的振荡频率特征温度依赖诊断拓扑（半）金属的方法，并在三种材料中验证了其有效性。
摘要：
我们感谢G.P. Mikitik和Yu.V. Sharlai撰写这篇评论以及就此展开的友好交流。首先需要指出的是，我们论文的核心目标是提出一种利用磁量子振荡诊断拓扑（半）金属的方法学。截至目前，这类诊断一直基于量子振荡的相位偏移，该偏移量从“朗道扇形图”中提取得到。通过对Onsager-Lifshitz-Roth量子化规则的深入分析，我们发现著名的$π$相移同样可以出现在具有强自旋轨道耦合或小有效质量的拓扑平庸系统中，其来源可以是轨道磁矩或自旋磁矩。因此，仅靠“朗道扇形图”本身并不能构成费米面具有非平庸拓扑性的证据。在本文中，我们报道了一种改进的分析方法，该方法利用线性色散能带中有效质量的强能量依赖性，从而产生具有特征性的振荡频率温度依赖关系，即使对于具有复杂费米面的多带金属，这也是非平庸拓扑性的有力指标。我们选取了三种材料Cd$_3$As$_2$、Bi$_2$O$_2$Se和LaRhIn$_5$作为该方法的测试案例。实验检测到Cd$_3$As$_2$以及LaRhIn$_5$中$F$ $\thickapprox$ 7 T的口袋均存在线性能带色散。
英文摘要：
We thank G.P. Mikitik and Yu.V. Sharlai for contributing this note and the cordial exchange about it. First and foremost, we note that the aim of our paper is to report a methodology to diagnose topological (semi)metals using magnetic quantum oscillations. Thus far, such diagnosis has been based on the phase offset of quantum oscillations, which is extracted from a "Landau fan plot". A thorough analysis of the Onsager-Lifshitz-Roth quantization rules has shown that the famous $π$-phase shift can equally well arise from orbital- or spin magnetic moments in topologically trivial systems with strong spin-orbit coupling or small effective masses. Therefore, the "Landau fan plot" does not by itself constitute a proof of a topologically nontrivial Fermi surface. In the paper at hand, we report an improved analysis method that exploits the strong energy-dependence of the effective mass in linearly dispersing bands. This leads to a characteristic temperature dependence of the oscillation frequency which is a strong indicator of nontrivial topology, even for multi-band metals with complex Fermi surfaces. Three materials, Cd$_3$As$_2$, Bi$_2$O$_2$Se and LaRhIn$_5$ served as test cases for this method. Linear band dispersions were detected for Cd$_3$As$_2$, as well as the $F$ $\approx$ 7 T pocket in LaRhIn$_5$.
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