论文标题
在量子异常系统中测量光学厅电导率的奇偶校验异常的签名
Signature of parity anomaly in the measurement of optical Hall conductivity in quantum anomalous Hall systems
论文作者
论文摘要
平价异常是一种量子机械效应,即在整个量子理论的任何正规化中都无法恢复二维经典作用中的平等对称性,并且以半量化的霍尔电导率为特征。在这里,我们提出了一个方案,以探索奇偶校验异常的实验签名,以测量光霍尔电导率,其中光霍尔电导率几乎在适当的频率范围内量化了一半。研究了几种模型的光学厅电导率的行为,这些模型揭示了在低或高频方案中半量化的霍尔电导率的出现。可以从Kerr和Faraday旋转的测量以及圆形极化光的吸收率中提取光厅电导率。该建议提供了一种实用方法,可以探索拓扑量子材料中平等异常的签名。
Parity anomaly is a quantum mechanical effect that the parity symmetry in a two-dimensional classical action is failed to be restored in any regularization of the full quantum theory and is characterized by a half-quantized Hall conductivity. Here we propose a scheme to explore the experimental signature from parity anomaly in the measurement of optical Hall conductivity, in which the optical Hall conductivity is nearly half quantized for a proper range of frequency. The behaviors of optical Hall conductivity are studied for several models, which reveal the appearance of half-quantized Hall conductivity in low or high-frequency regimes. The optical Hall conductivity can be extracted from the measurement of Kerr and Faraday rotations and the absorption rate of the circularly polarized light. This proposal provides a practical method to explore the signature of parity anomaly in topological quantum materials.