Consequences of time-reversal-symmetry breaking in the light-matter interaction: Berry curvature, quantum metric, and diabatic motion
Consequences of time-reversal-symmetry breaking in the light-matter interaction: Berry curvature, quantum metric, and diabatic motion
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DOI：
10.1103/physrevresearch.2.033100
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发表时间：
2020-07-20
影响因子：
4.2
通讯作者：
Yan, Binghai
中科院分区：
文献类型：
--
作者：
Holder, Tobias;Kaplan, Daniel;Yan, Binghai
非线性光学响应在半导体中得到了很好的研究，并且在最近十年的拓扑材料研究中获得了复兴。迄今为止，它主要涉及到超导材料，并认为它的根源是材料能带结构的Berry曲率。在这项工作中，我们重新审视了一般形式的二阶光学响应，并专注于时间反演对称性（T）破缺的后果，通过图解的方法。我们已经确定了产生DC光电流的三种物理机制，即，与量子度规密切相关的Berry曲率和非绝热运动。所有这三种效应都可以从反常加速度中直观地理解。前两项分别是量子几何张量的反对称和对称部分。最后一项是由于动力学反局域化，出现从时间反演费米子环之间的相位积累。此外，我们推导出半经典电导率，包括带内和带间效应。我们发现，T破缺可以导致大大增强的非线性反常霍尔效应，这是超越了由贝瑞曲率偶极子的贡献。
Nonlinear optical response is well studied in the context of semiconductors and has gained a renaissance in studies of topological materials in the recent decade. So far it mainly deals with nonmagnetic materials and it is believed to root in the Berry curvature of the material band structure. In this work we revisit the general formalism for the second-order optical response and focus on the consequences of the time-reversal-symmetry (T) breaking, by a diagrammatic approach. We have identified three physical mechanisms to generate a DC photocurrent, i.e., the Berry curvature, a term closely related to the quantum metric, and the diabatic motion. All three effects can be understood intuitively from the anomalous acceleration. The first two terms are respectively the antisymmetric and symmetric parts of the quantum geometric tensor. The last term is due to the dynamical antilocalization that appears from the phase accumulation between time-reversed fermion loops. Additionally, we derive the semiclassical conductivity that includes both intra- and interband effects. We find that T breaking can lead to a greatly enhanced nonlinear anomalous Hall effect that is beyond the contribution by the Berry curvature dipole.