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Symmetry
Special Issues
Topological Photonic Structures and Their Symmetries
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Topological Photonic Structures and Their Symmetries

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (15 August 2022) | Viewed by 2297

Special Issue Editors

Dr. Xiang Ni

E-Mail Website
Guest Editor
Photonics Initiative, Advanced Science Research Center, City University of New York, New York, NY 10031, USA
Interests: topological physics; nanophotonics; metasurfaces
Dr. Daria A. Smirnova

E-Mail Website
Guest Editor
Research School of Physics, Australian National University, Canberra, ACT 2601, Australia
Interests: topological photonics; nonlinear optics; nanophotonics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Various symmetries, including time-reversal, chiral, particle-hole and spatial symmetries, largely determine the classification of topological insulators and topological semimetals in solid state physics. In comparison to their condensed matter counterparts, symmetries are exploited for engineering topological phases of classical waves and the design of topological photonic metamaterials.  Two major classes are formed by Chern-type and Z2-type topological insulators, which support robust edge states at their boundaries. The discovery of higher-order topological phases has stimulated realizations of symmetry-protected photonic states of different dimensionalities in artificial photonic platforms. The main goal of this Special Issue is to disseminate the recent advancements in theory and applications of topological photonic structures, metamaterials and metasurfaces, with special focus on the role of symmetries imposed on them. We welcome original research papers of both fundamental and applied natures.

Dr. Xiang Ni
Dr. Daria A. Smirnova
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Topological photonics
  • Topological metamaterials
  • Higher-order photonic topological insulators
  • Nonlinear photonics
  • Nanophotonics
  • Nonlocal metasurfaces
  • Spatiotemporal photonics
  • Symmetry protection

Published Papers (1 paper)

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Research

12 pages, 2539 KiB  
Article
First Principles Calculation of the Topological Phases of the Photonic Haldane Model
by Filipa R. Prudêncio and Mário G. Silveirinha
Symmetry 2021, 13(11), 2229; https://doi.org/10.3390/sym13112229 - 22 Nov 2021
Cited by 4 | Viewed by 1782
Abstract
Photonic topological materials with a broken time-reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of unidirectional edge-states when enclosed by an opaque-type boundary, e.g., an [...] Read more.
Photonic topological materials with a broken time-reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of unidirectional edge-states when enclosed by an opaque-type boundary, e.g., an electric wall. The Haldane model played a central role in the development of topological methods in condensed-matter systems, as it unveiled that a broken time-reversal symmetry is the essential ingredient to have a quantized electronic Hall phase. Recently, it was proved that the magnetic field of the Haldane model can be imitated in photonics with a spatially varying pseudo-Tellegen coupling. Here, we use Green’s function method to determine from “first principles” the band diagram and the topological invariants of the photonic Haldane model, implemented as a Tellegen photonic crystal. Furthermore, the topological phase diagram of the system is found, and it is shown with first principles calculations that the granular structure of the photonic crystal can create nontrivial phase transitions controlled by the amplitude of the pseudo-Tellegen parameter. Full article
(This article belongs to the Special Issue Topological Photonic Structures and Their Symmetries)
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