Asymptotically exact photonic approximations of chiral symmetric topological tight-binding models
File(s)
Published version
Author(s)
Palmer, Samuel John
Ignatov, Yordan
Craster, Richard V
Makwana, Mehul
Type
Journal Article
Abstract
Topological photonic edge states, protected by chiral symmetry, are attractive for guiding wave energy as they can allow for more robust guiding and greater control of light than alternatives; however, for photonics, chiral symmetry is often broken by long-range interactions. We look to overcome this difficulty by exploiting the topology of networks, consisting of voids and narrow connecting channels, formed by the spaces between closely spaced perfect conductors. In the limit of low frequencies and narrow channels, these void-channel systems have a direct mapping to analogous discrete mass-spring systems in an asymptotically rigorous manner and therefore only have short-range interactions. We demonstrate that topological tight-binding models that are protected by chiral symmetries, such as the SSH model and square-root semimetals, are reproduced for these void-channel networks with appropriate boundary conditions. We anticipate, moving forward, that this paper provides a basis from which to explore continuum photonic topological systems, in an asymptotically exact manner, through the lens of a simplified tight-binding model.
Date Issued
2022-05-01
Date Acceptance
2021-11-08
Citation
New Journal of Physics, 2022, 24
ISSN
1367-2630
Publisher
Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft
Journal / Book Title
New Journal of Physics
Volume
24
Copyright Statement
As the Version of Record of this article is going to be/has been published on a gold open access basis under a CC BY 3.0 licence, this Accepted Manuscript is available for reuse under a CC BY 3.0 licence immediately.
Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, and is not published on a gold open access basis under a CC BY licence, unless that is specifically stated in the figure caption in the Version of Record.
Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, and is not published on a gold open access basis under a CC BY licence, unless that is specifically stated in the figure caption in the Version of Record.
License URL
Sponsor
EU COMMISSION
Identifier
https://iopscience.iop.org/article/10.1088/1367-2630/ac37ad
Grant Number
863179
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
topological materials
topological photonics
chiral symmetry
tight-binding
photonics
matched asymptotics
physics.optics
physics.optics
Fluids & Plasmas
02 Physical Sciences
Publication Status
Published
Article Number
ARTN 053020
Date Publish Online
2021-11-08