Numerics

These animations accompany my paper Reflectionless edge states in Dirac models of topological insulators. They show a wave packet moving according to a Dirac equation on the plane, with a domain wall which changes sign across an interface (shown as a dashed line). This models an interface between two distinct topological insulators. The packet starts on a straight part of the interface and runs into a defect: a right-angle corner, a hairpin bend, a step, or one or more teeth. In every case it follows the interface around the defect without reflection. The rest continues along the interface. 

The last two videos shows what happens for four topological phases are put in contact, and for a closed interface (a circle). My paper does not address either situations and they are interesting open problems!