A finite equilibrium current density arises in the anomalous Hall effect (AHE) as a result of time-reversal symmetry breaking, affecting both the differential current density and total current. This study illustrates the equilibrium current density pattern in a ribbon-shaped system within the AHE regime, consisting of two sets of counterpropagating channels arranged in a zebra crossing pattern. While the middle channels are susceptible to scattering, the edge channels remain relatively robust. Despite this difference, all channels exhibit the same differential current density when subjected to a differential voltage across the two ends of the ribbon. When a differential voltage is applied to both sides of the ribbon, it results in a snaking pattern of differential current density forming across it. Furthermore, in a four-terminal device comprising an AHE ribbon and two normal leads, it is found that Hall conductance is independent of ribbon width within certain scattering strengths due to differences in robustness between middle and edge channels. These findings underscore the significant role played by current density in AHE transport.
The anomalous Hall effect, a hallmark of broken time-reversal symmetry and spin-orbit coupling, is frequently observed in magnetically polarized systems. Its realization in non-magnetic systems, however, remains elusive. Here, we report on the observation of anomalous Hall effect in nominally non-magnetic KTaO3. Anomalous Hall effect emerges in reduced KTaO3 and shows an extrinsic to intrinsic crossover. A paramagnetic behavior is observed in reduced samples using first principles calculations and quantitative magnetometry. The observed anomalous Hall effect follows the oxygen vacancy-induced …
Nonlinear anomalous Hall effect is the Berry curvature dipole induced second-order Hall voltage or temperature difference in response to a longitudinal electric field or temperature gradient. These are the prominent Hall responses in time reversal symmetric systems. Here, we investigate the family of second-order nonlinear anomalous Hall effects, the electrical, thermoelectric and thermal nonlinear Hall effects in the moiré system of twisted double bilayer graphene. We demonstrate that the nonlinear anomalous Hall signals can be used to probe the topological phase-transitions in moiré systems,…
We develop a hydrodynamic theory for an electron system exhibiting the anomalous Hall effect, and show that an additional anomalous Hall effect is induced by a vorticity generated near boundaries. We calculate the momentum flux and force proportional to the electric field using linear response theory. The hydrodynamic equation is obtained by replacing the local electric field with the electric current, focusing on a scale that is sufficiently larger than the mean free path. It is demonstrated that there is a coupling between a vorticity of an electric current and a magnetization which generate…
We predict a spin anomalous-Hall unidirectional magnetoresistance (AH-UMR) in conducting bilayers composed of a ferromagnetic layer and a nonmagnetic layer, which does $\textit{not}$ rely on the spin Hall effect in the normal metal layer$-$in stark contrast to the well-studied unidirectional spin-Hall magnetoresistance$-$but, instead, arises from the spin anomalous Hall effect in the ferromagnetic layer. Physically, it is the charge-spin conversion induced by the spin anomalous Hall effect that conspires with the structural inversion asymmetry to generate a net nonequilibrium spin density in t…
In-plane Magnetization Induced Quantum Anomalous Hall Effect
在二维电子气中，强磁场可以引起量子化的霍尔电导，称为量子霍尔效应;磁性离子的强交换耦合也可以引起量子化的霍尔电导，称为“量子反常霍尔效应“。量子霍尔效应需要面外磁场，类似地，通常认为对于量子反常霍尔效应，磁化应该是面外的。在目前的工作中，我们发现这个条件是不必要的，并预测量子异常霍尔效应也可以诱导两个现实系统中的纯面内磁化，包括Bi $_2$ Te $_3$薄膜的磁掺杂和HgMnTe量子阱的剪切应变，当所有的反射对称性被打破。提出了一个实验装置来证实这种效应，这将为在更广泛的材料中寻找量子反常霍尔效应铺平道路。
We show that the quantum anomalous Hall effect almost always occurs in magnetic topological insulator thin films whenever the top and bottom surface layer magnetizations are parallel, independent of the interior layer magnetization configuration. Using this criteria we identify structures that have a quantum anomalous Hall effect even though they have collinear magnetic structures with no net magnetization, and discuss strategies for realizing these interesting magnetic states experimentally.
The ordinary Hall effect is driven by the Lorentz force, while its anomalous counterpart occurs in ferromagnets. Here we show that the Berry curvature monopole of non-magnetic 2D spin-3/2 holes leads to a novel Hall effect linear in an applied in-plane magnetic field B_x. There is no Lorentz force hence no ordinary Hall effect, while all disorder contributions vanish to leading order in B_x. This intrinsic phenomenon, which we term the anomalous planar Hall effect (APHE), provides a non-quantized footprint of topological transport directly accessible in p-type semiconductors.
Anomalous and Topological Hall effect in Cu doped Sb2Te3 Topological Insulator
在不同温度和不同磁场下对Sb_（1.90）Cu_（0.10）Te_3的磁输运和磁化强度进行了测量。在高场下的磁输运测量表明体态和表面态共存。磁化强度显示了Cu掺杂诱导的反铁磁有序，观察到的量子振荡表明，在Sb 1.90 Cu 0.10 Te 3的磁化强度是体属性。霍尔数据的非线性表明存在反常和拓扑霍尔效应。根据Cu掺杂Sb_2Te_3拓扑绝缘体的霍尔测量数据，对反常和拓扑霍尔效应（THE）进行了评价.
Approaching quantum anomalous Hall effect in proximity-coupled YIG/graphene/h-BN sandwich structure
在足够强的交换作用和自旋轨道相互作用下，量子反常霍尔态有望在Dirac电子系统（如石墨烯）中出现。在原始石墨烯中，两种相互作用都不存在;然而，如异常霍尔效应所揭示的，通过将石墨烯耦合到磁性绝缘体（MI）可以获得两种相互作用。在这里，我们展示了通过在亚铁磁绝缘体钇铁石榴石（YIG）和六方氮化硼（h-BN）之间嵌入石墨烯来增强的磁邻近耦合，所述六方氮化硼也用作顶栅电介质。通过扫描顶栅电压，我们观察到费米能级依赖的反常霍尔电导。当从电子和空穴两侧接近狄拉克点时，反常霍尔电导达到量子反常霍尔电导2 e ~ 2/h的1/4。的交换耦合强度被确定为高达27毫电子伏的诱导磁相的转变温度。YIG/graphene/h-BN是一种很好的异质结材料，可以用来研究二维电子系统中的邻近诱导相互作用。
Anomalous Hall-like transverse magnetoresistance in Au thin films on Y$_3$Fe$_5$O$_{12}$
铂与磁性绝缘体接触时的异常霍尔信号是常见的观测结果，可以用邻近磁化或自旋霍尔磁阻来解释。在这项工作中，纵向和横向的磁阻测量的纯金薄膜上的亚铁磁绝缘体Y $_3$ Fe $_5$ O $_{12}$（钇铁石榴石，YIG）。我们发现，无论是纵向和横向的磁阻有定量一致的缩放YIG/Au和YIG/Pt参考系时，应用自旋霍尔磁阻框架。由于磁邻近效应而引起的反常霍尔效应的贡献是不明显的。
While the anomalous Hall effect can manifest even without an external magnetic field, time reversal symmetry is nonetheless still broken by the internal magnetization of the sample. Recently, it has been shown that certain materials without an inversion center allow for a nonlinear type of anomalous Hall effect whilst retaining time reversal symmetry. The effect may arise from either Berry curvature or through various asymmetric scattering mechanisms. Here, we report the observation of an extremely large $c$-axis nonlinear anomalous Hall effect in the non-centrosymmetric T$_d$ phase of MoTe$_2…
Anomalous Edge Transport in the Quantum Anomalous Hall State
通过第一性原理计算，我们预测了Cr掺杂（Bi，Sb）$_2$ Te $_3$磁性拓扑绝缘体薄膜具有与手征边缘态共存的无带隙非手征边缘态.这种无间隙的非手性态不能免疫于背散射，这将解释在该系统中实验观察到的量子反常霍尔（QAH）态中的耗散输运。本文利用Landau-Büttiker方法研究了手征态和非手征态的边缘输运，发现纵向电阻不为零，而霍尔电阻量子化为$h/e^2$ .特别是，纵向电阻可以大大减少增加一个额外的浮动探针，即使它不使用，而霍尔电阻保持在量化值。我们提出了几个传输实验来检测耗散的非手征边缘通道。这些结果将有助于实现QAH态在磁性拓扑绝缘体中的纯无耗散输运。
We propose a new family of the d0 orbital XY (X = K, Rb, Cs; Y = N, P, As, Sb, Bi) monolayers with abundant and novel topology and valley properties. The KN, RbN, RbP, RbAs, CsP, CsAs, and CsSb monolayers possess remarkable quantum anomalous Hall effect (QAHE). CsSb monolayer also exhibits extraordinary valley QAHE with giant splitting. Moreover, the topological properties of XY monolayers can be effciently tuned by the in-plane strain, owing to the strain-induced band inversion between the px;y and pz orbitals. Our findings suggest that the d0 orbital XY monolayers can be good candidates for …
