论文标题
$π$ - 模式异常的签名(1+1)尺寸定期驱动的拓扑/普通绝缘子异质结构
Signatures of the $π$-mode anomaly in (1+1) dimensional periodically-driven topological/normal insulator heterostructures
论文作者
论文摘要
类似于零模式异常,例如量子霍尔效应中边缘状态的手性异常,在这项工作中,在1+1维定期定期驱动的拓扑/正常绝缘体(TI/NI)异质结构中提出了PI模式异常。通常,当耦合在背景仪字段中时,域壁上的零模式将提供异常的电流项,最终通过Callan-Harvey机制从拓扑总量的其他边界贡献取消。与散装对应关系的概括相关的这种异常取消称为异常流入。通过我们的光子建模和Floquet Ti/Ni异质结构的设置,我们首次在某些驱动的频率下实验观察到了$π$ - 模式域壁,该频率始终附着在回想的Floquet仪上,扮演了新出现的背景场的重要作用。实际上,由于驱动拓扑大量可能出现Floquet仪表异常,因此可以在Floquet域之间的驱动界面上匹配所得的$π$ - 模式异常。前景上,我们认为我们的预测和观察可以在探索定期驱动的古典和量子系统中探索异常情况上为新的途径铺平道路。
Akin to zero-mode anomalies, such as the chiral anomaly of edge states in quantum Hall effect, in this work, a pi-mode anomaly is proposed in a 1+1 dimensional periodically-driven topological/normal insulator (TI/NI) heterostructure. Usually, when coupling in a background gauge field, the zero modes on domain walls would provide an anomalous current term that is eventually canceled by additional boundary contributions from the topological bulk, via the Callan-Harvey mechanism. This anomaly cancellation associated with the generalization of bulk-boundary correspondence is called anomaly inflow. Through our photonic modeling and setup of the Floquet TI/NI heterostructure, for the first time, we experimentally observed the $π$-mode domain wall in certain driven frequencies, which is always attached to the reminiscent Floquet gauge that plays the vital role of an emergent background field. Indeed, due to the possible emergence of Floquet gauge anomaly from the driven topological bulk, the resultant $π$-mode anomaly can be matched on the driven interface between Floquet domains. Prospectively, we believe our prediction and observation could pave a new avenue on exploring anomalies in both periodically-driven classical and quantum systems.