The Hall effects comprise one of the oldest but most vital fields in condensed matter physics,
and they persistently inspire new findings, such as quantum Hall effects and topological …

The appearance of a Hall conductance necessarily requires breaking of time‐reversal
symmetry, either by an external magnetic field or by the internal magnetization of a material …

The Berry curvature and quantum metric are the imaginary part and real part, respectively, of
the quantum geometric tensor, which characterizes the topology of quantum states. The …

The nonlinear Hall effect (NLHE), the phenomenon in which a transverse voltage can be
produced without a magnetic field, provides a potential alternative for rectification or …

Nonlinear responses in transport measurements are linked to material properties not
accessible at linear order because they follow distinct symmetry requirements,,–. While the …

The nonlinear Hall effect has opened the door towards deeper understanding of topological
states of matter. Disorder plays indispensable roles in various linear Hall effects, such as the …

Strain can be used to modify the band structure—and thus the electronic properties—of two-
dimensional materials. However, research has focused on the use of monolayer graphene …

The nonlinear Hall effect due to Berry curvature dipole (BCD) induces frequency doubling,
which was recently observed in time-reversal-invariant materials. Here we report novel …

It has been theoretically predicted that perturbation of the Berry curvature by electromagnetic
fields gives rise to intrinsic nonlinear anomalous Hall effects that are independent of …

The nonlinear Hall effect with time-reversal symmetry is a second-order electronic transport
phenomenon—seen as a quadratic voltage transverse to an applied electric field—that …