One of the most celebrated accomplishments of modern physics is the description of
fundamental principles of nature in the language of geometry. As the motion of celestial …

Berry curvature physics and quantum geometric effects have been instrumental in
advancing topological condensed matter physics in recent decades. Although Landau level …

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 …

The Hall response can be dramatically different from its quantized value in materials with
broken inversion symmetry. This stems from the leading Hall contribution beyond the linear …

The valley Hall effect arises from valley-contrasting Berry curvature and requires inversion
symmetry breaking. Here, we propose a nonlinear mechanism to generate a valley Hall …

It is known that intrinsic currents in magnetic metals often appear in the direction
perpendicular to the external field for linear and nonlinear responses. Distinct from three …

Probing ground-state quantum geometry and topology through optical responses is not only
of fundamental interest, but it can also offer several practical advantages. Here, using first …

The z-component of the Néel vector is measurable by the anomalous Hall conductivity in
altermagnets because time reversal symmetry is broken. On the other hand, it is a nontrivial …

The imaginary part of the quantum geometric tensor is the Berry curvature, while the real
part is the quantum metric. Dirac fermions derived from a tight-binding model naturally …

Quantum metric and Berry curvature are the real part and imaginary part of the quantum
geometric tensor, respectively. The T-odd (T, time-reversal) nonlinear Hall effect driven by …