Physicists at UC Santa Barbara, with colleagues at University of Michigan (UM) and The University of Chicago (UChicago), have developed design rules that take advantage of topological defects to ...

Topology originated from the classification of geometric structures in mathematics, and have prevailed in a variety of branches of physics, ranging from the early electronic topological insulator to ...

Topological photonics promises robust light transport immune to disorder, but existing linear systems are essentially static ...

The amorphous state of matter is the most abundant form of visible matter in the universe, and includes all structurally ...

We developed a systematic approach to study the topological phases through analyzing the boundary gapless theory. Our main results include: We introduce the twist defect in 2+1 dimensional topological ...