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 …

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

In recent years, it has been shown that Berry curvature monopoles and dipoles play
essential roles in the anomalous Hall and the nonlinear Hall effects, respectively. In this …

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by
two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the …

Nonlinear anomalous (NLA) Hall effect is the Berry curvature dipole induced second-order
Hall voltage or temperature difference induced by a longitudinal electric field or temperature …

Topological Weyl semimetals (WSMs) have been predicted to be excellent candidates for
detecting Berry curvature dipole (BCD) and the related nonlinear effects in electronics and …

Recent studies have shown that moiré flat bands in twisted bilayer graphene (TBG) can
acquire nontrivial Berry curvatures when aligned with a hexagonal boron nitride substrate …

In this paper, we study the spin Nernst effect of magnons in the nonlinear response regime.
We derive the formula for the nonlinear magnon spin Nernst current by solving the …

Twisted bilayer graphene is highly sensitive to external perturbations. Strains, and the
presence of the substrate, break the symmetries of the central bands. The resulting changes …

We propose a systematic analysis method for identifying essential parameters in various
linear and nonlinear response tensors without which they vanish. By using the Keldysh …