Visualizing the topological pentagon states of a giant C540 metamaterial

Abstract Systems with broken continuous symmetry in ideal lattices cannot be rectified through rearrangement or deformation. Topological metamaterials featuring nontrivial, artificially induced phase transitions have emerged as pivotal constituents for engineering these topological defects, which, u...

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Main Authors: Danwei Liao, Jingyi Zhang, Shuochen Wang, Zhiwang Zhang, Alberto Cortijo, María A. H. Vozmediano, Francisco Guinea, Ying Cheng, Xiaojun Liu, Johan Christensen
Format: Article
Language:English
Published: Nature Portfolio 2024-11-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-53819-9
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author Danwei Liao
Jingyi Zhang
Shuochen Wang
Zhiwang Zhang
Alberto Cortijo
María A. H. Vozmediano
Francisco Guinea
Ying Cheng
Xiaojun Liu
Johan Christensen
author_facet Danwei Liao
Jingyi Zhang
Shuochen Wang
Zhiwang Zhang
Alberto Cortijo
María A. H. Vozmediano
Francisco Guinea
Ying Cheng
Xiaojun Liu
Johan Christensen
author_sort Danwei Liao
collection DOAJ
description Abstract Systems with broken continuous symmetry in ideal lattices cannot be rectified through rearrangement or deformation. Topological metamaterials featuring nontrivial, artificially induced phase transitions have emerged as pivotal constituents for engineering these topological defects, which, until now, have mostly been experimentally realized in linear or planar configurations. Buckminster Fuller lent his name to the C60 ball-shaped carbon allotrope, which is not only the roundest molecule in existence but also embodies 3D topological defects. Here, we construct a C540 metamaterial composed of interspersed pentagons in a hexagonal network of hollow tubes and cavities. By 3D printing this giant closed-cage topology, the nontrivial state-confinements can be fully controlled and visualized, which, in contrast, in synthesized or naturally found fullerenes, is highly challenging. Thanks to our macroscopic metamaterials approach, we are able to map in real-space topological pentagon states probed by sound waves. Our results show how a seemingly unrelated approach can unveil deep physical understanding in carbon allotropes and potentially in a plethora of other complex systems in the near future.
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spelling doaj-art-8d98d6eec48e4dbe80c878880ef469472025-08-20T02:50:08ZengNature PortfolioNature Communications2041-17232024-11-011511710.1038/s41467-024-53819-9Visualizing the topological pentagon states of a giant C540 metamaterialDanwei Liao0Jingyi Zhang1Shuochen Wang2Zhiwang Zhang3Alberto Cortijo4María A. H. Vozmediano5Francisco Guinea6Ying Cheng7Xiaojun Liu8Johan Christensen9Department of Physics, MOE Key Laboratory of Modern Acoustics, Collaborative Innovation Center of Advanced Microstructures, Jiangsu Physical Science Research Center, Nanjing UniversityIMDEA Materials InstituteDepartment of Physics, MOE Key Laboratory of Modern Acoustics, Collaborative Innovation Center of Advanced Microstructures, Jiangsu Physical Science Research Center, Nanjing UniversityDepartment of Physics, MOE Key Laboratory of Modern Acoustics, Collaborative Innovation Center of Advanced Microstructures, Jiangsu Physical Science Research Center, Nanjing UniversityInstituto de Ciencia de Materiales de Madrid, CSICInstituto de Ciencia de Materiales de Madrid, CSICIMDEA NanocienciaDepartment of Physics, MOE Key Laboratory of Modern Acoustics, Collaborative Innovation Center of Advanced Microstructures, Jiangsu Physical Science Research Center, Nanjing UniversityDepartment of Physics, MOE Key Laboratory of Modern Acoustics, Collaborative Innovation Center of Advanced Microstructures, Jiangsu Physical Science Research Center, Nanjing UniversityIMDEA Materials InstituteAbstract Systems with broken continuous symmetry in ideal lattices cannot be rectified through rearrangement or deformation. Topological metamaterials featuring nontrivial, artificially induced phase transitions have emerged as pivotal constituents for engineering these topological defects, which, until now, have mostly been experimentally realized in linear or planar configurations. Buckminster Fuller lent his name to the C60 ball-shaped carbon allotrope, which is not only the roundest molecule in existence but also embodies 3D topological defects. Here, we construct a C540 metamaterial composed of interspersed pentagons in a hexagonal network of hollow tubes and cavities. By 3D printing this giant closed-cage topology, the nontrivial state-confinements can be fully controlled and visualized, which, in contrast, in synthesized or naturally found fullerenes, is highly challenging. Thanks to our macroscopic metamaterials approach, we are able to map in real-space topological pentagon states probed by sound waves. Our results show how a seemingly unrelated approach can unveil deep physical understanding in carbon allotropes and potentially in a plethora of other complex systems in the near future.https://doi.org/10.1038/s41467-024-53819-9
spellingShingle Danwei Liao
Jingyi Zhang
Shuochen Wang
Zhiwang Zhang
Alberto Cortijo
María A. H. Vozmediano
Francisco Guinea
Ying Cheng
Xiaojun Liu
Johan Christensen
Visualizing the topological pentagon states of a giant C540 metamaterial
Nature Communications
title Visualizing the topological pentagon states of a giant C540 metamaterial
title_full Visualizing the topological pentagon states of a giant C540 metamaterial
title_fullStr Visualizing the topological pentagon states of a giant C540 metamaterial
title_full_unstemmed Visualizing the topological pentagon states of a giant C540 metamaterial
title_short Visualizing the topological pentagon states of a giant C540 metamaterial
title_sort visualizing the topological pentagon states of a giant c540 metamaterial
url https://doi.org/10.1038/s41467-024-53819-9
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