论文标题
双层石墨烯中的时间反转奇数运输:霍尔电导率和大厅粘度
Time-reversal odd transport in bilayer graphene: Hall conductivity and Hall viscosity
论文作者
论文摘要
我们考虑在量子厅制度中低能的双层石墨烯的时间反转奇数动力学。在动量和频率下捕获对所有订单的电磁响应的有效动作的生成功能,并在时空梯度$ \ MATHCAL O(\ partial^3)$中呈现并评估为三阶。此外,我们计算了大厅的粘度,并与$ Q^2 $系数的$ Q^2 $系数得出了明确的关系。它让人联想到伽利亚不变系统中的hoyos-son关系,该系统可以在大填充因子$ n $的极限下恢复。
We consider the time-reversal odd dynamics of the bilayer graphene at low energies in the quantum Hall regime. A generating functional for the effective action that captures the electromagnetic response to all orders in momentum and frequency is presented and evaluated to the third order in the space-time gradient $\mathcal O(\partial^3)$. In addition, we calculate the Hall viscosity and derive an explicit relationship with the $q^2$ coefficient of the Hall conductivity. It is reminiscent of the Hoyos--Son relation in the Galilean invariant systems, which can be recovered in the limit of large filling factor $N$.