Topological invariants for interface modes

Understand

We consider topologically non-trivial interface Hamiltonians, which find several applications in materials science and geophysical fluid flows.

• The non-trivial topology manifests itself in the existence of topologically protected, asymmetric edge states at the interface between two two-dimensional half spaces in different topological phases.
• It is characterized by a quantized interface conductivity.
• The objective of this paper is to compute such a conductivity and show its stability under perturbations.