Edge states for second order elliptic operators in a channel
Analysis of PDEs
2024-03-05 v2 Materials Science
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2102.00275,
title = {Edge states for second order elliptic operators in a channel},
author = {David Gontier},
journal= {arXiv preprint arXiv:2102.00275},
year = {2024}
}