The bulk-edge correspondence for continuous honeycomb lattices
Analysis of PDEs
2019-01-21 v1
Abstract
We study bulk/edge aspects of continuous honeycomb lattices in a magnetic field. We compute the bulk index of Bloch eigenbundles: it equals or , with sign depending on nearby Dirac points and on the magnetic field. We then prove the existence of two topologically protected waves propagating along line defects. This shows the bulk/edge correspondence for our class of Hamiltonians.
Cite
@article{arxiv.1901.06281,
title = {The bulk-edge correspondence for continuous honeycomb lattices},
author = {Alexis Drouot},
journal= {arXiv preprint arXiv:1901.06281},
year = {2019}
}