论文标题
通过量子几何形状统一非线性异常霍尔效应和金属中非倒数
Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
论文作者
论文摘要
量子几何形状在确定量子材料中的运输和光学特性方面具有重大影响。在这里，我们使用一种半经典形式主义，以及均匀的非线性霍尔效应（NLAHE）和非偏置磁磁性（NMR，纵向耐药性）的扰动校正。在直流极限中，横向和纵向非线性电导率都包括归一化量子公制偶极子引起的术语。量子度量的贡献是固有的，并且不会随着准颗粒寿命而扩展。我们演示了掺杂的反铁质拓扑绝缘子MNBI $ _2 $ TE $ _4 $的胶片中Nlahe和NMR的共存。我们的工作表明，纵向和横向非线性转运都提供了固体中量子几何形状的敏感探针。
The quantum geometry has significant consequences in determining transport and optical properties in quantum materials. Here, we use a semiclassical formalism coupled with perturbative corrections unifying the nonlinear anomalous Hall effect (NLAHE) and nonreciprocal magnetoresistance (NMR, longitudinal resistance) from the quantum geometry. In the dc limit, both transverse and longitudinal nonlinear conductivities include a term due to the normalized quantum metric dipole. The quantum metric contribution is intrinsic and does not scale with the quasiparticle lifetime. We demonstrate the coexistence of a NLAHE and NMR in films of the doped antiferromagentic topological insulator MnBi$_2$Te$_4$. Our work indicates that both longitudinal and transverse nonlinear transport provide a sensitive probe of the quantum geometry in solids.
