反常Floquet系统中的量子化陈-西蒙斯轴子耦合
Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems
AI总结：
本研究针对周期驱动Floquet系统中量子化体响应机制不明确的问题，提出二维反常Floquet系统存在以陈-西蒙斯轴子耦合角编码的量子化体响应，通过引入光子维度构建Sambe晶格框架，建立了Floquet能带拓扑与体可观测量的统一联系。
摘要：
量子化的体响应函数是拓扑相的标志性特征，但它们在周期驱动（Floquet）系统中的表现尚未完全明确。本文中，我们证明二维反常Floquet系统呈现出一种以陈-西蒙斯轴子（CSA）耦合角编码的量子化体响应，反映出与三维绝缘体中类似的拓扑磁电效应。周期驱动引入了一个涌现的“光子”维度，使得该系统可被视为三维Sambe晶格。在该框架内，光子空间极化与磁化密度等互相关响应作为CSA耦合的物理特征涌现出来。由Floquet态的非阿贝尔贝里联络构造的CSA角，可以通过混合Wannier态的几何结构得到自然解释。这些结果为将Floquet能带拓扑与量子化体可观测量联系起来提供了统一框架。
英文摘要：
Quantized bulk response functions are hallmark signatures of topological phases, but their manifestation in periodically driven (Floquet) systems is not yet fully established. Here, we show that two-dimensional anomalous Floquet systems exhibit a quantized bulk response encoded in a Chern-Simons axion (CSA) coupling angle, reflecting a topological magnetoelectric effect analogous to that in three-dimensional insulators. The periodic drive introduces an emergent "photon" dimension, allowing the system to be viewed as a three-dimensional Sambe lattice. Within this framework, cross-correlated responses such as photon-space polarization and magnetization density, emerge as physical signatures of the CSA coupling. The CSA angle, constructed from the non-Abelian Berry connection of Floquet states, admits a natural interpretation in terms of the geometry of hybrid Wannier states. These results provide a unified framework linking Floquet band topology to quantized bulk observables.
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