Edge states for second order elliptic operators

David Gontier (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We present a general framework to study edge states for second order elliptic operators. 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.

Domaines: Physique mathématique [math-ph]

David Gontier. Edge states for second order elliptic operators. Journal of Spectral Theory, 2023, 12 (3), pp.1155-1202. ⟨10.4171/JST/430⟩. ⟨hal-03158902⟩