论文标题
量子异常霍尔绝缘子的动量依赖性质量和交流大厅的电导率及其与奇偶元异常的关系
Momentum-Dependent Mass and AC Hall Conductivity of Quantum Anomalous Hall Insulators and Their Relation to the Parity Anomaly
论文作者
论文摘要
二维QAH绝缘子的狄拉克质量与平面量子电动力学的奇迹异常有关，如最初在物理中所示。莱特牧师。 52，18（1984）。在这项工作中，我们将QAH绝缘子的额外动量依赖性牛顿质量术语与平均异常联系起来。通过计算有效的动作，我们揭示了牛顿质量术语就像高能正规化方案的奇偶校验元素一样。因此，它与平等异常直接相关。此外，有效作用的计算使我们能够确定QAH绝缘子直流电导率的有限频率校正。我们得出的是，领先的AC校正包含与扭转大厅粘度成正比的术语。这铺平了通过电或磁光实验来测量这种非隔离运输系数的方法。此外，我们证明牛顿质量与像石墨烯这样的纯狄拉克系统相比，牛顿电导率显着改变了交流电导率的共振结构。
The Dirac mass of a two-dimensional QAH insulator is directly related to the parity anomaly of planar quantum electrodynamics, as shown initially in Phys. Rev. Lett. 52, 18 (1984). In this work, we connect the additional momentum-dependent Newtonian mass term of a QAH insulator to the parity anomaly. By calculating the effective action, we reveal that the Newtonian mass term acts like a parity-breaking element of a high-energy regularization scheme. As such, it is directly related to the parity anomaly. In addition, the calculation of the effective action allows us to determine the finite frequency correction to the DC Hall conductivity of a QAH insulator. We derive that the leading order AC correction contains a term proportional to the torsional Hall viscosity. This paves the way to measure this non-dissipative transport coefficient via electrical or magneto-optical experiments. Moreover, we prove that the Newtonian mass significantly changes the resonance structure of the AC Hall conductivity in comparison to pure Dirac systems like graphene.
