Network Models of Photonic Floquet Topological Insulators
Mesoscale and Nanoscale Physics
2014-02-17 v1 Disordered Systems and Neural Networks
Optics
Abstract
A recently-proposed class of photonic topological insulators is shown to map onto Chalker-Coddington-type networks, which were originally formulated to study disordered quantum Hall systems. Such network models are equivalent to the Floquet states of periodically-driven lattices. We show that they can exhibit topologically protected edge states even if all bands have zero Chern number, which is a characteristic property of Floquet bandstructures. These edge states can be counted by an adiabatic pumping invariant based on the winding number of the coefficient of reflection from one edge of the network.
Keywords
Cite
@article{arxiv.1311.4789,
title = {Network Models of Photonic Floquet Topological Insulators},
author = {Michael Pasek and Y. D. Chong},
journal= {arXiv preprint arXiv:1311.4789},
year = {2014}
}