Non-quantized square-root topological insulators: a realization in photonic Aharonov-Bohm cages
Abstract
Topological Insulators are a novel state of matter where spectral bands are characterized by quantized topological invariants. This unique quantized non-local property commonly manifests through exotic bulk phenomena and corresponding robust boundary effects. In our work, we report a new type of topological insulator exhibiting spectral bands with non-quantized topological properties, but with a quantization that arises in a corresponding system where the square of the Hamiltonian is taken. We provide a thorough theoretical analysis as well as an experimental demonstration based on photonic Aharonov-Bohm cages to highlight the bulk and boundary properties of this neophyte state of matter.
Keywords
Cite
@article{arxiv.1805.05209,
title = {Non-quantized square-root topological insulators: a realization in photonic Aharonov-Bohm cages},
author = {Mark Kremer and Ioannis Petrides and Eric Meyer and Matthias Heinrich and Oded Zilberberg and Alexander Szameit},
journal= {arXiv preprint arXiv:1805.05209},
year = {2018}
}
Comments
5 pages, 4 figures + supplementary material (8 pages, 4 figures), comments are welcome