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 …

In two-dimensional systems, perpendicular magnetic fields can induce a bulk band gap and
chiral edge states, which gives rise to the quantum Hall effect. The quantum Hall effect is …

Bloch wave functions of electrons have properties called quantum geometry, which has
recently attracted much attention as the origin of intriguing physical phenomena. In this …

The study of quantum geometry effects in materials has been one of the most important
research directions in recent decades. The quantum geometry of a material is characterized …

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Destructive interference between electron wavefunctions on the two-dimensional kagome
lattice induces an electronic flat band, which could host a variety of interesting quantum …

Nonlinear charge transport, such as nonreciprocal longitudinal resistance and nonlinear
Hall effect, has attracted considerable interest in probing the symmetries and topological …

Traditional view of the anomalous Hall effect~(AHE) in ferromagnets is that it arises from the
magnetization perpendicular to the measurement plane and that there is a linear …

The anomalous Hall effect (AHE), which provides a bridge between the geometry of
quantum wave functions and transport measurements, has been a key focus of intensive …

Recent theoretical work has shown that higher-order moments of the Berry curvature, eg,
Berry curvature quadrupole and hexapole moments, can produce the leading order …