Bulk-edge correspondence and long range hopping in the topological plasmonic chain
File(s)[Nanophotonics] Bulk-edge correspondence _Pocock.pdf (2.93 MB) SupplementaryMaterial.pdf (863.86 KB)
Published version
Supporting information
Author(s)
Pocock, Simon
Huidobro, Paloma A
Giannini, Vincenzo
Type
Journal Article
Abstract
The existence of topologically protected edge modes is often cited as a highly desirable trait of topological insulators. However, these edge states are not always present. A realistic physical treatment of long-range hopping in a one-dimensional dipolar system can break the symmetry that protects the edge modes without affecting the bulk topological number, leading to a breakdown in bulk-edge correspondence (BEC). Hence, it is important to gain a better understanding of where and how this occurs, as well as how to measure it. Here we examine the behaviour of the bulk and edge modes in a dimerised chain of metallic nanoparticles and in a simpler non-Hermitian next-nearest-neighbour model to provide some insights into the phenomena of bulk-edge breakdown. We construct BEC phase diagrams for the simpler case and use these ideas to devise a measure of symmetry-breaking for the plasmonic system based on its bulk properties. This provides a parameter regime in which BEC is preserved in the topological plasmonic chain, as well as a framework for assessing this phenomenon in other systems.
Date Issued
2019-08-01
Date Acceptance
2019-04-06
Citation
Nanophotonics, 2019, 8 (8), pp.1337-1347
ISSN
2192-8606
Publisher
De Gruyter Open
Start Page
1337
End Page
1347
Journal / Book Title
Nanophotonics
Volume
8
Issue
8
Copyright Statement
© 2019 Simon R. Pocock et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution 4.0 Public License (https://creativecommons.org/licenses/by/4.0/)
Subjects
Science & Technology
Technology
Physical Sciences
Nanoscience & Nanotechnology
Materials Science, Multidisciplinary
Optics
Physics, Applied
Science & Technology - Other Topics
Materials Science
Physics
topological photonics
bulk-edge correspondence
topological plasmonics
BERRYS PHASE
STATES
cond-mat.mes-hall
cond-mat.mes-hall
0205 Optical Physics
0906 Electrical and Electronic Engineering
1007 Nanotechnology
Publication Status
Published
Date Publish Online
2019-04-29