16 citations · 38 across the 10 of their papers we have counts for
3 papers · 1 filter
Defect modes for dislocated periodic media
Alexis Drouot, Charles L. Fefferman, Michael I. Weinstein
We study defect modes in a one-dimensional periodic medium with a dislocation. The model is a periodic Schrodinger operator on , perturbed by an adiabatic dislocation o…
Continuum Schroedinger operators for sharply terminated graphene-like structures
C. L. Fefferman, M. I. Weinstein
We study the single electron model of a semi-infinite graphene sheet interfaced with the vacuum and terminated along a zigzag edge. The model is a Schroedinger operator acting on $…
Spectral band degeneracies of rotationally invariant periodic Schrödinger operators
Rachael T. Keller, Jeremy L. Marzuola, Braxton Osting +1
The dynamics of waves in periodic media is determined by the band structure of the underlying periodic Hamiltonian. Symmetries of the Hamiltonian can give rise to novel properties…