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 …

Whereas ferromagnets have been known and used for millennia, antiferromagnets were
only discovered in the 1930s. At large scale, because of the absence of global …

Quantum geometric properties of Bloch wave functions in solids, that is, Berry curvature and
the quantum metric, are known to significantly influence the ground-and excited-state …

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 …

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 …

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 …

Strong light–matter coupling in quantum cavities provides a pathway to break fundamental
materials symmetries, like time-reversal symmetry in chiral cavities. This Comment …