Strain topological metamaterials and revealing hidden topology in higher-order coordinates

Abstract Topological physics has revolutionized materials science, introducing topological phases of matter in diverse settings ranging from quantum to photonic and phononic systems. Herein, we present a family of topological systems, which we term “strain topological metamaterials”, whose topologic...

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Main Authors: Florian Allein, Adamantios Anastasiadis, Rajesh Chaunsali, Ian Frankel, Nicholas Boechler, Fotios K. Diakonos, Georgios Theocharis
Format: Article
Language:English
Published: Nature Portfolio 2023-10-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-023-42321-3
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author Florian Allein
Adamantios Anastasiadis
Rajesh Chaunsali
Ian Frankel
Nicholas Boechler
Fotios K. Diakonos
Georgios Theocharis
author_facet Florian Allein
Adamantios Anastasiadis
Rajesh Chaunsali
Ian Frankel
Nicholas Boechler
Fotios K. Diakonos
Georgios Theocharis
author_sort Florian Allein
collection DOAJ
description Abstract Topological physics has revolutionized materials science, introducing topological phases of matter in diverse settings ranging from quantum to photonic and phononic systems. Herein, we present a family of topological systems, which we term “strain topological metamaterials”, whose topological properties are hidden and unveiled only under higher-order (strain) coordinate transformations. We firstly show that the canonical mass dimer, a model that can describe various settings such as electrical circuits and optics, among others, belongs to this family where strain coordinates reveal a topological nontriviality for the edge states at free boundaries. Subsequently, we introduce a mechanical analog of the Majorana-supporting Kitaev chain, which supports topological edge states for both fixed and free boundaries within the proposed framework. Thus, our findings not only extend the way topological edge states are identified, but also promote the fabrication of novel topological metamaterials in various fields, with more complex, tailored boundaries.
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spelling doaj.art-443a7336caff4ec7abfbdccf4b08c6f32023-11-20T10:04:07ZengNature PortfolioNature Communications2041-17232023-10-011411910.1038/s41467-023-42321-3Strain topological metamaterials and revealing hidden topology in higher-order coordinatesFlorian Allein0Adamantios Anastasiadis1Rajesh Chaunsali2Ian Frankel3Nicholas Boechler4Fotios K. Diakonos5Georgios Theocharis6Univ. Lille, CNRS, Centrale Lille, Junia, Univ. Polytechnique Hauts-de-France, UMR 8520-IEMN-Institut d’Electronique de Microélectronique et de NanotechnologieLaboratoire d’Acoustique de l’Université du Mans (LAUM), UMR 6613, Institut d’Acoustique—Graduate School (IA-GS), CNRS, Le Mans UniversitéDepartment of Aerospace Engineering, Indian Institute of ScienceDepartment of Mechanical and Aerospace Engineering, University of California, San DiegoDepartment of Mechanical and Aerospace Engineering, University of California, San DiegoDepartment of Physics, University of AthensLaboratoire d’Acoustique de l’Université du Mans (LAUM), UMR 6613, Institut d’Acoustique—Graduate School (IA-GS), CNRS, Le Mans UniversitéAbstract Topological physics has revolutionized materials science, introducing topological phases of matter in diverse settings ranging from quantum to photonic and phononic systems. Herein, we present a family of topological systems, which we term “strain topological metamaterials”, whose topological properties are hidden and unveiled only under higher-order (strain) coordinate transformations. We firstly show that the canonical mass dimer, a model that can describe various settings such as electrical circuits and optics, among others, belongs to this family where strain coordinates reveal a topological nontriviality for the edge states at free boundaries. Subsequently, we introduce a mechanical analog of the Majorana-supporting Kitaev chain, which supports topological edge states for both fixed and free boundaries within the proposed framework. Thus, our findings not only extend the way topological edge states are identified, but also promote the fabrication of novel topological metamaterials in various fields, with more complex, tailored boundaries.https://doi.org/10.1038/s41467-023-42321-3
spellingShingle Florian Allein
Adamantios Anastasiadis
Rajesh Chaunsali
Ian Frankel
Nicholas Boechler
Fotios K. Diakonos
Georgios Theocharis
Strain topological metamaterials and revealing hidden topology in higher-order coordinates
Nature Communications
title Strain topological metamaterials and revealing hidden topology in higher-order coordinates
title_full Strain topological metamaterials and revealing hidden topology in higher-order coordinates
title_fullStr Strain topological metamaterials and revealing hidden topology in higher-order coordinates
title_full_unstemmed Strain topological metamaterials and revealing hidden topology in higher-order coordinates
title_short Strain topological metamaterials and revealing hidden topology in higher-order coordinates
title_sort strain topological metamaterials and revealing hidden topology in higher order coordinates
url https://doi.org/10.1038/s41467-023-42321-3
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