Recent experiments reported an antisymmetric planar Hall effect, where the Hall current is
odd in the in plane magnetic field and scales linearly with both electric and magnetic fields …

Nonlinear transport phenomena offer an exciting probe into the band geometry and
symmetry properties of a system. While most studies on nonlinear transport have looked at …

This review presents recent breakthroughs in the realm of nonlinear Hall effects,
emphasizing central theoretical foundations and recent experimental progress. We elucidate …

Using symmetry analysis and a semiclassical Boltzmann equation, we theoretically explore
the planar Hall effect (PHE) in three-dimensional materials. We demonstrate that PHE is a …

The study of the nonlinear anomalous Hall effect (NLAHE) in PT-symmetric systems has
focused on intrinsic mechanisms. Here, we show that disorder contributes substantially to …

In solid state systems, group representation theory is powerful in characterizing the behavior
of quasiparticles, notably the energy degeneracy. While conventional group theory is …

Time reversal and inversion symmetric materials fail to yield linear and nonlinear responses
since they possess net zero Berry curvature. However, higher-order Hall response can be …

Motivated by recent experiments observing the nonlinear planar Hall effect (NPHE) in
nonmagnetic topological materials, we employ the density matrix method to consider all the …

The recently discovered nonlinear Hall (NLH) effect arises either without external magnetic
field (type-I) or with an in-plane magnetic field (type-II). In this work we propose a new type of …

We theoretically investigate the nonlinear response current of a two-dimensional system
under an in-plane magnetic field. Based on the extended semiclassical theory, we develop a …