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 …

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 …

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 …

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 …

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 …

Symmetry breaking in 2D layered materials plays a significant role in their macroscopic
electrical, optical, magnetic and topological properties, including, but not limited to, spin …

Chiral materials are an ideal playground for exploring the relation between symmetry,
relativistic effects and electronic transport. For instance, chiral organic molecules have been …

Topological aspects of the electron wave function—including the Berry curvature and Chern
number—play a crucial role in determining the physical properties of materials. Although the …

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 …