Edge states with hidden topology in spinner lattices

Abstract Symmetries – whether explicit, latent, or hidden – are fundamental to understanding topological materials. This work introduces a prototypical spring-mass model that extends beyond established canonical models, revealing topological edge states with distinct profiles at opposite edges. Thes...

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Main Authors: Udbhav Vishwakarma, Murthaza Irfan, Georgios Theocharis, Rajesh Chaunsali
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-025-01981-x
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author Udbhav Vishwakarma
Murthaza Irfan
Georgios Theocharis
Rajesh Chaunsali
author_facet Udbhav Vishwakarma
Murthaza Irfan
Georgios Theocharis
Rajesh Chaunsali
author_sort Udbhav Vishwakarma
collection DOAJ
description Abstract Symmetries – whether explicit, latent, or hidden – are fundamental to understanding topological materials. This work introduces a prototypical spring-mass model that extends beyond established canonical models, revealing topological edge states with distinct profiles at opposite edges. These edge states originate from hidden symmetries that become apparent only in deformation coordinates, as opposed to the conventional displacement coordinates used for bulk-boundary correspondence. Our model, realized through the intricate connectivity of a spinner chain, demonstrates experimentally distinct edge states at opposite ends. By extending this framework to two dimensions, we explore the conditions required for such edge waves and their hidden symmetry in deformation coordinates. We also show that these edge states are robust against disorders that respect the hidden symmetry. This research paves the way for advanced material designs with tailored boundary conditions and edge state profiles, offering potential applications in fields such as photonics, acoustics, and mechanical metamaterials.
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institution DOAJ
issn 2399-3650
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publishDate 2025-02-01
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series Communications Physics
spelling doaj-art-a7f93f7b717b4d0fb41bf1c1b233bd642025-08-20T03:04:12ZengNature PortfolioCommunications Physics2399-36502025-02-01811910.1038/s42005-025-01981-xEdge states with hidden topology in spinner latticesUdbhav Vishwakarma0Murthaza Irfan1Georgios Theocharis2Rajesh Chaunsali3Department of Aerospace Engineering, Indian Institute of ScienceDepartment of Aerospace Engineering, Indian Institute of ScienceLAUM, CNRS-UMR 6613, Le Mans UniversitéDepartment of Aerospace Engineering, Indian Institute of ScienceAbstract Symmetries – whether explicit, latent, or hidden – are fundamental to understanding topological materials. This work introduces a prototypical spring-mass model that extends beyond established canonical models, revealing topological edge states with distinct profiles at opposite edges. These edge states originate from hidden symmetries that become apparent only in deformation coordinates, as opposed to the conventional displacement coordinates used for bulk-boundary correspondence. Our model, realized through the intricate connectivity of a spinner chain, demonstrates experimentally distinct edge states at opposite ends. By extending this framework to two dimensions, we explore the conditions required for such edge waves and their hidden symmetry in deformation coordinates. We also show that these edge states are robust against disorders that respect the hidden symmetry. This research paves the way for advanced material designs with tailored boundary conditions and edge state profiles, offering potential applications in fields such as photonics, acoustics, and mechanical metamaterials.https://doi.org/10.1038/s42005-025-01981-x
spellingShingle Udbhav Vishwakarma
Murthaza Irfan
Georgios Theocharis
Rajesh Chaunsali
Edge states with hidden topology in spinner lattices
Communications Physics
title Edge states with hidden topology in spinner lattices
title_full Edge states with hidden topology in spinner lattices
title_fullStr Edge states with hidden topology in spinner lattices
title_full_unstemmed Edge states with hidden topology in spinner lattices
title_short Edge states with hidden topology in spinner lattices
title_sort edge states with hidden topology in spinner lattices
url https://doi.org/10.1038/s42005-025-01981-x
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AT rajeshchaunsali edgestateswithhiddentopologyinspinnerlattices