AI 中文总结
该研究从极化、磁化等微观概念出发，利用二次量子化场论重新审视磁导体反常霍尔效应及向有限频率的推广，研究电荷载流子对电场响应动力学，给出电导率张量三项构成，并对铁的体心立方铁磁相做了数值计算。
AI 中文摘要
我们使用基于极化、磁化以及自由电荷和电流微观概念的形式体系，重新审视磁导体中的反常霍尔效应及其向有限频率的推广。电子自由度在二次量子化场论中处理，哈密顿量具有编码晶体磁序并破坏时间反演对称性的静态且晶胞周期磁场。我们在微观层面研究束缚和自由电荷载流子在有限频率下对空间均匀电场的响应动力学。描述长波长响应的电导率张量由三项组成，包括与极化响应相关的久保项，以及分别与自由电流响应的纵向和横向部分相关的金属德鲁德项和反常霍尔电导率。我们还给出了铁的体心立方铁磁相这些贡献的数值计算结果。
英文摘要
We revisit the anomalous Hall effect in magnetic conductors, and its generalization to finite frequencies, using a formalism based on microscopic notions of polarization, magnetization, and free charges and currents. The electronic degrees of freedom are treated within second-quantized field theory, where the Hamiltonian features a static and cell-periodic magnetic field that encodes the magnetic order in the crystal and breaks time-reversal symmetry. We study the dynamics of bound and free charge carriers at the microscopic level as they respond to a spatially uniform electric field at finite frequency. The conductivity tensor describing the long-wavelength response is a sum of three terms, including a Kubo term associated with the polarization response, along with the metallic Drude term and the anomalous Hall conductivity that are associated with the longitudinal and transverse parts of the free current response, respectively. We also present numerical calculations of these contributions for the ferromagnetic body-centered cubic phase of iron.
