Spectral properties of periodic systems cut at an angle
Mathematical Physics
2021-10-28 v2 Materials Science
math.MP
Spectral Theory
Abstract
We consider a semi-periodic two-dimensional Schr\"odinger operator which is cut at an angle. When the cut is commensurate with the periodic lattice, the spectrum of the operator has the band-gap Bloch structure. We prove that in the incommensurable case, there are no gaps: the gaps of the bulk operator are filled with edge spectrum.
Keywords
Cite
@article{arxiv.2104.00760,
title = {Spectral properties of periodic systems cut at an angle},
author = {David Gontier},
journal= {arXiv preprint arXiv:2104.00760},
year = {2021}
}