Edge states for second order elliptic operators in a channel

Abstract

We present a general framework to study edge states for second order elliptic operators in a half channel. We associate an integer valued index to some bulk materials, and we prove that for any junction between two such materials, localised states must appear at the boundary whenever the indices differ.

References in corpus (1)

• Spectral properties of periodic systems cut at an angle

Cited by in corpus (4)

• Functional analytic methods for discrete approximations of subwavelength resonator systems
• Classifying bulk-edge anomalies in the Dirac Hamiltonian
• From orbital magnetism to bulk-edge correspondence
• Topological junctions for one-dimensional systems