Li Songci, Levchenko Alex
Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.
Phys Rev Lett. 2020 Apr 17;124(15):156802. doi: 10.1103/PhysRevLett.124.156802.
We consider the impact of electron-electron interactions on the temperature dependence of the anomalous Hall effect in disordered conductors. The microscopic analysis is carried out within the diagrammatic approach of the linear response Kubo-Streda formula with an account of both extrinsic skew-scattering and side-jump mechanisms of the anomalous Hall effect arising in the presence of spin-orbit coupling. We demonstrate the importance of electron interactions in the Cooper channel even for nominally non-superconducting materials and find that the corresponding low-temperature dependence of the anomalous Hall conductivity is asymptotically of the form sqrt[T]/ln(T_{0}/T) in three dimensions and ln[ln(T_{0}/T)] in two dimensions, where the scale of T_{0} is parametrically of the order of Fermi energy. These results, in particular, may provide a possible explanation for the recently observed unconventional temperature dependence of the anomalous Hall effect in HgCr_{2}Se_{4}.
我们考虑电子-电子相互作用对无序导体中反常霍尔效应温度依赖性的影响。微观分析是在考虑自旋轨道耦合存在时反常霍尔效应的外在斜散射和侧跳机制的情况下，在线性响应久保-斯特雷达公式的图解方法内进行的。我们证明了即使对于名义上非超导的材料，库珀通道中电子相互作用的重要性，并发现反常霍尔电导率相应的低温依赖性在三维中渐近形式为√T/ln(T₀/T)，在二维中为ln[ln(T₀/T)]，其中T₀的尺度在参数上约为费米能量的量级。这些结果尤其可能为最近在HgCr₂Se₄中观察到的反常霍尔效应的非常规温度依赖性提供一种可能的解释。
