Weyl points and line nodes in gapless gyroid photonic crystals
Abstract
Weyl points and line nodes are three-dimensional linear point- and line-degeneracies between two bands. In contrast to Dirac points, which are their two-dimensional analogues, Weyl points are stable in the momentum space and the associated surface states are predicted to be topologically non-trivial. However, Weyl points are yet to be discovered in nature. Here, we report photonic crystals, based on the double-gyroid structures, exhibiting frequency-isolated Weyl points with intricate phase diagrams. The surface states associated with the non-zero Chern numbers are demonstrated. Line nodes are also found in similar geometries; the associated surface states are shown to be flat bands. Our results are readily experimentally realizable at both microwave and optical frequencies.
Keywords
Cite
@article{arxiv.1207.0478,
title = {Weyl points and line nodes in gapless gyroid photonic crystals},
author = {Ling Lu and Liang Fu and John D. Joannopoulos and Marin Soljačić},
journal= {arXiv preprint arXiv:1207.0478},
year = {2013}
}
Comments
6 figures and 8 pages including the supplementary information