Spin–orbit coupling induces a unique form of Zeeman interaction in momentum space in
materials that lack inversion symmetry: the electron's spin is locked on an effective magnetic …

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 …

Quantum geometry in condensed-matter physics has two components: the real part quantum
metric and the imaginary part Berry curvature. Whereas the effects of Berry curvature have …

The Berry curvature and quantum metric are the imaginary part and real part, respectively, of
the quantum geometric tensor, which characterizes the topology of quantum states. The …

Moiré quantum materials host exotic electronic phenomena through enhanced internal
Coulomb interactions in twisted two-dimensional heterostructures,,–. When combined with …

W annier90 is an open-source computer program for calculating maximally-localised
Wannier functions (MLWFs) from a set of Bloch states. It is interfaced to many widely used …

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

The quantum geometry has significant consequences in determining transport and optical
properties in quantum materials. Here, we use a semiclassical formalism coupled with …

Quantum geometry plays a pivotal role in the second-order response of PT-symmetric
antiferromagnets. Here we study the nonlinear response of 2D altermagnets protected by C …

The Hall effect occurs only in systems with broken time-reversal symmetry, such as materials
under an external magnetic field in the ordinary Hall effect and magnetic materials in the …