We theoretically analyze the Fano interference in a single impurity multi-Weyl semimetal hybrid system and show the emergence of the topological charge Fano effect in the bulk local density of states. In multi-Weyl semimetals, the number of Fermi arcs at the system boundaries is determined by the topological charge $J$, a direct consequence of the “bulk-boundary” correspondence principle. Analogously, we find that $J$ also modulates the bulk Fano profile of the system with an embedded quantum impurity. Thus by increasing $J$, the Fano line shape evolves from resonant, typical for $J=1$ (single Weyl), towards antiresonant, extrapolating to the so-called hyper Weyl semimetals with $J\gg 1$. Specially for the maximum case protected by the rotational symmetry $C_{2J=6}$, namely, the $J=3$ (triple Weyl), which acquires asymmetric Fano profile, the Fano parameter absolute value is predicted to be $tan\left(C_{2J=6}\right)$, where $C_{2J}\equiv ({360}^{\circ }/2J)$ defines the rotational angle. Hence, the Fano discretization in the $J$ term introduces the topological charge Fano effect in multi-Weyl semimetals. We also suggest a transport device where we expect that the proposed Fano effect could be detected.

中文翻译：

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多外尔半金属中的拓扑电荷法诺效应

我们从理论上分析了单个杂质多外尔半金属杂化系统中的 Fano 干涉，并展示了拓扑电荷 Fano 效应在体局部态密度中的出现。在多外尔半金属中，系统边界处的费米弧数由拓扑电荷决定$Ĵ$，“体边界”对应原则的直接结果。类似地，我们发现$Ĵ$还使用嵌入的量子杂质调制系统的体 Fano 轮廓。因此通过增加$Ĵ$，法诺线形从共振演变而来，典型的$Ĵ=1$（单外尔），朝向反共振，外推到所谓的超外尔半金属$Ĵ\gg 1$. 特别适用于受旋转对称保护的最大情况$C_{2Ĵ=6}$，即，$Ĵ=3$(triple Weyl)，获得不对称的 Fano 轮廓，Fano 参数的绝对值预计为$棕褐色\left(C_{2Ĵ=6}\right)$， 在哪里$C_{2Ĵ}\equiv ({360}^{\circ }/2Ĵ)$定义旋转角度。因此，Fano 离散化$Ĵ$术语介绍了多外尔半金属中的拓扑电荷法诺效应。我们还建议使用一种传输设备，我们希望可以检测到提​​议的 Fano 效应。