The spin–orbit interaction plays an important role in magnetism and in many quantum
materials. It is the cornerstone of the physics of many electronic phases that emerge at …

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 …

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

Electrons in solids carry orbital angular momentum in diverse non-equilibrium situations.
This orbital current is often overlooked when considering electronic transport. Here we …

Understanding quantum materials—solids in which interactions among constituent electrons
yield a great variety of novel emergent quantum phenomena—is a forefront challenge in …

Spintronics has been extensively explored over the past decades, focusing primarily on the
spin characteristic of the electron, while the orbital feature of the electron has been …

Layertronics, rooted in the layer Hall effect (LHE), is an emerging fundamental phenomenon
in condensed matter physics and spintronics. So far, several theoretical and experimental …

For over a century, the Hall effect, a transverse effect under an out-of-plane magnetic field or
magnetization, has been a cornerstone for magnetotransport studies and applications …

We study the interplay of lattice, spin, and orbital degrees of freedom in a two-dimensional
model system: a flat square lattice of Te atoms on a Au (100) surface. The atomic structure of …

The nonlinear Hall effect (NLHE) reflects Berry-curvature-related properties in non-
centrosymmetric but time-reversal-symmetric materials. So far, the NLHE of the investigated …