Section Chern number for a 3D photonic crystal and the bulk-edge correspondence
Optics
2016-09-15 v2 Mesoscale and Nanoscale Physics
Abstract
We have characterized the robust propagation modes of electromagnetic waves in helical structures by the section Chern number that is defined for a two-dimensional (2D) section of the three- dimensional (3D) Brillouin zone. The Weyl point in the photonic bands is associated with a dis- continuous jump of the section Chern number. A spatially localized Gaussian basis set is used to calculate the section Chern numbers where we have implemented the divergence-free condition on each basis function in 3D. The validity of the bulk-edge correspondence in a 3D photonic crystal is discussed in relation to the broken inversion symmetry.
Cite
@article{arxiv.1607.04714,
title = {Section Chern number for a 3D photonic crystal and the bulk-edge correspondence},
author = {Shuhei Oono and Toshikaze Kariyado and Yasuhiro Hatsugai},
journal= {arXiv preprint arXiv:1607.04714},
year = {2016}
}