There are two prominent applications of the mathematical concept of topology to the physics
of materials: band topology, which classifies different topological insulators and semimetals …

Topological materials discovery has evolved at a rapid pace over the past 15 years following
the identification of the first nonmagnetic topological insulators (TIs), topological crystalline …

Topological quantum chemistry and symmetry-based indicators have facilitated large-scale
searches for materials with topological properties at the Fermi energy (EF). We report the …

Gauge fields play a major role in understanding quantum effects. For example, gauge flux
insertion into single unit cells is crucial towards detecting quantum phases and controlling …

We investigate higher-order Weyl semimetals (HOWSMs) having bulk Weyl nodes attached
to both surface and hinge Fermi arcs. We identify a new type of Weyl node, which we dub a …

In insulating crystals, it was previously shown that defects with two fewer dimensions than
the bulk can bind topological electronic states. We here further extend the classification of …

Disclinations—topological defects ubiquitously existing in various materials—can reveal the
intrinsic band topology of the hosting material through the bulk-disclination correspondence …

The interplay between real-space topological lattice defects and the reciprocal-space
topology of energy bands can give rise to novel phenomena, such as one-dimensional …

Crystalline materials can host topological lattice defects that are robust against local
deformations, and such defects can interact in interesting ways with the topological features …

We demonstrate that dislocations in two-dimensional non-Hermitian systems can give rise to
density accumulation or depletion through the localization of an extensive number of states …