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 topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Spin Hall effects are a collection of relativistic spin-orbit coupling phenomena in which
electrical currents can generate transverse spin currents and vice versa. Despite being …

Response properties that are purely intrinsic to physical systems are of paramount
importance in physics research, as they probe fundamental properties of band structures …

Topological Hall effect (THE) and its inverse effect (skyrmion Hall effect) generally occurs in
magnetic materials with topological properties, as a consequence of nonuniform and …

The last few years have seen an explosion of interest in hydrodynamic effects in interacting
electron systems in ultra-pure materials. One such material, graphene, is not only an …

Ever since its discovery the notion of Berry phase has permeated through all branches of
physics. Over the past three decades it was gradually realized that the Berry phase of the …

The anomalous Hall effect (AHE) occurs in solids with broken time-reversal symmetry,
typically in a ferromagnetic phase, as a consequence of spin-orbit coupling. Experimental …

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 …

Three mechanisms are known to contribute to second-order nonlinear current: Extrinsic
nonlinear Drude, Berry curvature dipole, and intrinsic Berry connection polarizability. Here …