标题： 平行磁场中拓扑狄拉克半金属中的非线性霍尔效应 显示英文标题

标题： Nonlinear Hall effect in topological Dirac semimetals in parallel magnetic field

摘要： 我们计算了二维拓扑狄拉克半金属在外部平面磁场作用下的二次谐波响应。 导出了威格纳分布函数的量子动力学方程，然后求解以评估电流密度中的二阶电场贡献。 在广泛的模型参数范围内分析了电流中的贝利曲率偶极子和场诱导项。 我们提出，可以通过测量拓扑绝缘体SnTe表面态中反常霍尔电阻率与平面磁场的依赖关系，在WTe$_2$和WSe$_2$单层材料以及在极低温下的Kondo晶格材料Ce$_3$Bi$_4$Pd$_3$中进行实验验证我们的理论。 显示英文摘要

摘要： We compute the second-harmonic response of two-dimensional topological Dirac semimetals subjected to an external in-plane magnetic field. The quantum kinetic equation for the Wigner distribution function is derived and then solved to evaluate the second-order electric-field contributions to the current density. Both the Berry curvature dipole and the field-induced terms in the current are analyzed across a broad range of model parameters. We propose that our theory can be tested experimentally by measuring the dependence of the anomalous Hall resistivity on the in-plane magnetic field in the surface states of the topological insulator SnTe, in WTe$_2$ and WSe$_2$ monolayers, as well as in the Kondo lattice material Ce$_3$Bi$_4$Pd$_3$ at very low temperatures.