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 …

In active matter systems, individual constituents convert energy into non-conservative forces
or motion at the microscale, leading to morphological features and transport properties that …

We consider conditions for the existence of boundary modes in non-Hermitian systems with
edges of arbitrary codimension. Through a universal formulation of formation criteria for …

In the presence of crystalline symmetries, certain topological insulators present a filling
anomaly: a mismatch between the number of electrons in an energy band and the number of …

Most natural and artificial materials have crystalline structures from which abundant
topological phases emerge,,,,–. However, the bulk–edge correspondence—which has been …

The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …

We present a method for efficiently enumerating all allowed, topologically distinct, electronic
band structures within a given crystal structure in all physically relevant dimensions. The …

Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

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 present a general methodology toward the systematic characterization of crystalline
topological insulating phases with time-reversal symmetry. In particular, taking the two …