Higher-order topological states in thermal diffusion

Unlike conventional topological materials that carry topological states at their boundaries, higher-order topological materials are able to support topological states at boundaries of boundaries, such as corners and hinges. While band topology has been recently extended into thermal diffusion for th...

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Main Authors: Wu, Haotian, Hu, Hao, Wang, Xixi, Xu, Zhixia, Zhang, Baile, Wang, Qi Jie, Zheng, Yuanjin, Zhang, Jingjing, Cui, Tie Jun, Luo, Yu
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2023
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Online Access:https://hdl.handle.net/10356/164825
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1648252023-02-28T20:12:10Z Higher-order topological states in thermal diffusion Wu, Haotian Hu, Hao Wang, Xixi Xu, Zhixia Zhang, Baile Wang, Qi Jie Zheng, Yuanjin Zhang, Jingjing Cui, Tie Jun Luo, Yu School of Electrical and Electronic Engineering School of Physical and Mathematical Sciences Centre for Disruptive Photonic Technologies (CDPT) Science::Physics Amorphous Deformation Thermal Functional Material Unlike conventional topological materials that carry topological states at their boundaries, higher-order topological materials are able to support topological states at boundaries of boundaries, such as corners and hinges. While band topology has been recently extended into thermal diffusion for thermal metamaterials, its realization is limited to a one-dimensional (1D) thermal lattice, lacking access to the higher-order topology. In this work, we report on the experimental realization of a higher-order thermal topological insulator in a generalized two-dimensional (2D) diffusion lattice. The topological corner states for thermal diffusion are observed in the bandgap of diffusion rate of the bulk, as a consequence of the anti-Hermitian nature of the diffusion Hamiltonian. The topological protection of these thermal corner states is demonstrated with the stability of their diffusion profile in the presence of amorphous deformation. Our work constitutes the first realization of higher-order topology in a purely diffusive systems, and opens the door for future thermal management with topological protection beyond 1D geometries. Agency for Science, Technology and Research (A*STAR) Ministry of Education (MOE) National Research Foundation (NRF) Submitted/Accepted version This work was sponsored by the Singapore Ministry of Education (No. MOE2018-T2-2-189 (S) and MOE2019-T2-2-085), A*STAR SERC AME program „Nanoantenna Spatial Light Modulator for Next - Generation Display Technologies (NSLM)‟ under the grant No. A18A7b0058, A*STAR AME IRG Grant No. A20E5c0095, the National Research Foundation Singapore Competitive Research Program under the grant No. NRF-CRP22-2019-0006 and NRF-CRP23-2019-0007. The work at Southeast University was sponsored by National Key R & D Program of China (Grant No. 2022YFA1404903) and the National Natural Science Foundation of China (Grant No. 62288101). 2023-02-21T07:39:01Z 2023-02-21T07:39:01Z 2023 Journal Article Wu, H., Hu, H., Wang, X., Xu, Z., Zhang, B., Wang, Q. J., Zheng, Y., Zhang, J., Cui, T. J. & Luo, Y. (2023). Higher-order topological states in thermal diffusion. Advanced Materials, e2210825-. https://dx.doi.org/10.1002/adma.202210825 0935-9648 https://hdl.handle.net/10356/164825 10.1002/adma.202210825 36730361 e2210825 en MOE 2018-T2-2-189 (S) MOE2019-T2-2-085 A18A7b0058 A20E5c0095 NRF-CRP22-2019-0006 NRF-CRP23-2019-0007 Advanced Materials © 2023 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim. All rights reserved. This is the accepted version of the following article: Wu, H., Hu, H., Wang, X., Xu, Z., Zhang, B., Wang, Q. J., Zheng, Y., Zhang, J., Cui, T. J. & Luo, Y. (2023). Higher-order topological states in thermal diffusion. Advanced Materials, e2210825-, which has been published in final form at https://doi.org/10.1002/adma.202210825. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
Amorphous Deformation
Thermal Functional Material
spellingShingle Science::Physics
Amorphous Deformation
Thermal Functional Material
Wu, Haotian
Hu, Hao
Wang, Xixi
Xu, Zhixia
Zhang, Baile
Wang, Qi Jie
Zheng, Yuanjin
Zhang, Jingjing
Cui, Tie Jun
Luo, Yu
Higher-order topological states in thermal diffusion
description Unlike conventional topological materials that carry topological states at their boundaries, higher-order topological materials are able to support topological states at boundaries of boundaries, such as corners and hinges. While band topology has been recently extended into thermal diffusion for thermal metamaterials, its realization is limited to a one-dimensional (1D) thermal lattice, lacking access to the higher-order topology. In this work, we report on the experimental realization of a higher-order thermal topological insulator in a generalized two-dimensional (2D) diffusion lattice. The topological corner states for thermal diffusion are observed in the bandgap of diffusion rate of the bulk, as a consequence of the anti-Hermitian nature of the diffusion Hamiltonian. The topological protection of these thermal corner states is demonstrated with the stability of their diffusion profile in the presence of amorphous deformation. Our work constitutes the first realization of higher-order topology in a purely diffusive systems, and opens the door for future thermal management with topological protection beyond 1D geometries.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Wu, Haotian
Hu, Hao
Wang, Xixi
Xu, Zhixia
Zhang, Baile
Wang, Qi Jie
Zheng, Yuanjin
Zhang, Jingjing
Cui, Tie Jun
Luo, Yu
format Article
author Wu, Haotian
Hu, Hao
Wang, Xixi
Xu, Zhixia
Zhang, Baile
Wang, Qi Jie
Zheng, Yuanjin
Zhang, Jingjing
Cui, Tie Jun
Luo, Yu
author_sort Wu, Haotian
title Higher-order topological states in thermal diffusion
title_short Higher-order topological states in thermal diffusion
title_full Higher-order topological states in thermal diffusion
title_fullStr Higher-order topological states in thermal diffusion
title_full_unstemmed Higher-order topological states in thermal diffusion
title_sort higher-order topological states in thermal diffusion
publishDate 2023
url https://hdl.handle.net/10356/164825
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