论文标题

部分可观测时空混沌系统的无模型预测

Chiral-phonon-induced current in helical crystals

论文作者

Yao, Dapeng, Murakami, Shuichi

论文摘要

在这项研究中,我们从理论上表明,在螺旋晶体中,电流是由代表原子微观局部旋转的手性声子诱导的。通过将旋转运动视为扰动,我们通过使用绝热浆果相的方法来计算时间依赖性电流。沿螺旋轴的电流的时间平均值在金属阶段变为有限,但在绝缘阶段消失。另一方面,六角平面中的电流随时间变化,但由于三倍旋转时空对称性,其时间平均值消失。我们表明,电流的时间演变遵循螺旋系统的时空对称性。此外,我们解释了从参数空间中Chern号方面从隔热阶段中消失的电流平均值消失的原因。

In this study, we theoretically show that in a helical crystal, a current is induced by chiral phonons representing the microscopic local rotation of atoms. By treating the rotational motion as a perturbation, we calculate the time-dependent current by using the adiabatic Berry phase method. The time average of the current along the helical axis becomes finite in the metallic phase but it vanishes in the insulating phase. On the other hand, the current in the hexagonal plane changes with time, but its time average vanishes due to the threefold rotation space-time symmetry. We show that the time evolutions of the current follow the space-time symmetries of the helical systems. Moreover, we explain the reason for the vanishing of the time average of the current in the insulating phase from the aspect of the Chern number in the parameter space.

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