节点环半金属与多外尔半金属中的弗洛凯散射和法诺共振：传播模式与倏逝模式的作用
Floquet scattering and Fano resonances in nodal-ring and multi-Weyl semimetals: Role of propagating and evanescent modes
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中文总结 AI 辅助
该研究建立了含传播与倏逝模式的周期驱动拓扑半金属弗洛凯散射理论，明确倏逝模式无输运贡献，揭示节点环半金属多通道相干散射的法诺共振机制，验证此前忽略倏逝模式的近似合理性。
中文摘要 AI 辅助
我们为周期驱动的节点环半金属（NRSs）与多外尔半金属（mWSMs）中的量子输运建立了一套完备的弗洛凯散射理论，该理论拓展了我们此前发表于《Annalen der Physik》535卷2200460页（2023年）的研究，此前的研究忽略了倏逝模式，而本次构建的完备形式体系包含了传播通道与倏逝通道。通过求解完整的边值问题，我们得到了全套散射态，并表明尽管倏逝模式对于满足势界面处的匹配条件不可或缺，但它们携带的净概率电流为零，对任何可观测的输运量均无贡献。我们在节点环半金属中识别出一种此前未被探索的输运机制，其中两个传播通道共存并参与相干散射，产生多通道量子干涉与弗洛凯诱导的法诺共振。透射、反射、泵浦散粒噪声及相关法诺共振特征完全由传播通道决定，且共振能量与静态势阱对应的准束缚态能量一致。我们的结果为各向异性拓扑半金属中的弗洛凯输运建立了统一框架，并证实此前研究中忽略倏逝模式的近似对所有可测量的输运性质均成立。
英文摘要
We develop a comprehensive Floquet scattering theory for quantum transport in periodically driven nodal-ring semimetals (NRSs) and multi-Weyl semimetals (mWSMs), extending our earlier study reported in Annalen der Physik 535, 2200460 (2023), in which evanescent modes were neglected, to a complete formalism that includes both propagating and evanescent channels. By solving the full boundary-value problem, we obtain the complete set of scattering states and show that, although evanescent modes are indispensable for satisfying the matching conditions at the potential interfaces, they carry zero net probability current and do not contribute to any observable transport quantity. We identify a previously unexplored transport regime in NRSs in which two propagating channels coexist and participate in coherent scattering, producing multi-channel quantum interference and Floquet-induced Fano resonances. The transmission, reflection, pumped shot noise, and the associated Fano resonance features are determined entirely by the propagating channels, and the resonance energies coincide with those of the corresponding quasi-bound states of the static potential well. Our results establish a unified framework for Floquet transport in anisotropic topological semimetals, and confirm that the approximation of neglecting evanescent modes in our earlier work is justified for all measurable transport properties.
发表机构
- University of Toronto（多伦多大学）
- Shiv Nadar Institution of Eminence (SNIoE)（希夫·纳德卓越学院）
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