Observation of topological edge states in thermal diffusion

The topological band theory predicts that bulk materials with nontrivial topological phases support topological edge states. This phenomenon is universal for various wave systems and has been widely observed for electromagnetic and acoustic waves. Here, we extend the notion of band topology from wav...

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Main Authors: Hu, Hao, Han, Song, Yang, Yihao, Liu, Dongjue, Xue, Haoran, Liu, Gui-Geng, Cheng, Zheyu, Wang, Qi Jie, Zhang, Shuang, Zhang, Baile, Luo, Yu
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2022
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Online Access:https://hdl.handle.net/10356/162857
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1628572024-07-10T05:50:07Z Observation of topological edge states in thermal diffusion Hu, Hao Han, Song Yang, Yihao Liu, Dongjue Xue, Haoran Liu, Gui-Geng Cheng, Zheyu Wang, Qi Jie Zhang, Shuang Zhang, Baile Luo, Yu School of Electrical and Electronic Engineering School of Physical and Mathematical Sciences Centre for Disruptive Photonic Technologies (CDPT) Engineering Thermal Diffusion Thermal Functional Materials The topological band theory predicts that bulk materials with nontrivial topological phases support topological edge states. This phenomenon is universal for various wave systems and has been widely observed for electromagnetic and acoustic waves. Here, we extend the notion of band topology from wave to diffusion dynamics. Unlike the wave systems that are usually Hermitian, the diffusion systems are anti-Hermitian with purely imaginary eigenvalues corresponding to decay rates. Via direct probe of the temperature diffusion, we experimentally retrieve the Hamiltonian of a thermal lattice, and observe the emergence of topological edge decays within the gap of bulk decays. Our results show that such edge states exhibit robust decay rates, which are topologically protected against disorders. This work constitutes a thermal analogue of topological insulators and paves the way to exploring defect-immune heat dissipation. Agency for Science, Technology and Research (A*STAR) Ministry of Education (MOE) National Research Foundation (NRF) Published version This work was sponsored by the Singapore Ministry of Education (No. MOE2018-T2-2-189 (S), MOE2019-T2-2-085, and MOE2016-T3-1-006), A*STAR AME IRG Grant (No. A20E5c0095) and Programmatic Funds (No. A18A7b0058), the National Research Foundation Singapore Competitive Research Program (No. NRF-CRP18-2017-02, NRF-CRP22-2019-0006, and NRF-CRP23-2019-0007), the Research Grants Council of Hong Kong (No. AoE/P-701/20), and the National Natural Science Foundation of China (NNSFC) (No. 62175215). 2022-11-11T07:44:37Z 2022-11-11T07:44:37Z 2022 Journal Article Hu, H., Han, S., Yang, Y., Liu, D., Xue, H., Liu, G., Cheng, Z., Wang, Q. J., Zhang, S., Zhang, B. & Luo, Y. (2022). Observation of topological edge states in thermal diffusion. Advanced Materials, 34(31), 2202257-. https://dx.doi.org/10.1002/adma.202202257 0935-9648 https://hdl.handle.net/10356/162857 10.1002/adma.202202257 31 34 2202257 en MOE 2018-T2-2-189 (S) MOE2019-T2-2-085 MOE2016‐T3‐1‐006 A20E5c0095 A18A7b0058 NRF-CRP18-2017-02 NRF-CRP22-2019-0006 NRF-CRP23-2019-0007 Advanced Materials 10.21979/N9/OXDGIP © 2022 The Authors. Advanced Materials published by Wiley-VCH GmbH. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering
Thermal Diffusion
Thermal Functional Materials
spellingShingle Engineering
Thermal Diffusion
Thermal Functional Materials
Hu, Hao
Han, Song
Yang, Yihao
Liu, Dongjue
Xue, Haoran
Liu, Gui-Geng
Cheng, Zheyu
Wang, Qi Jie
Zhang, Shuang
Zhang, Baile
Luo, Yu
Observation of topological edge states in thermal diffusion
description The topological band theory predicts that bulk materials with nontrivial topological phases support topological edge states. This phenomenon is universal for various wave systems and has been widely observed for electromagnetic and acoustic waves. Here, we extend the notion of band topology from wave to diffusion dynamics. Unlike the wave systems that are usually Hermitian, the diffusion systems are anti-Hermitian with purely imaginary eigenvalues corresponding to decay rates. Via direct probe of the temperature diffusion, we experimentally retrieve the Hamiltonian of a thermal lattice, and observe the emergence of topological edge decays within the gap of bulk decays. Our results show that such edge states exhibit robust decay rates, which are topologically protected against disorders. This work constitutes a thermal analogue of topological insulators and paves the way to exploring defect-immune heat dissipation.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Hu, Hao
Han, Song
Yang, Yihao
Liu, Dongjue
Xue, Haoran
Liu, Gui-Geng
Cheng, Zheyu
Wang, Qi Jie
Zhang, Shuang
Zhang, Baile
Luo, Yu
format Article
author Hu, Hao
Han, Song
Yang, Yihao
Liu, Dongjue
Xue, Haoran
Liu, Gui-Geng
Cheng, Zheyu
Wang, Qi Jie
Zhang, Shuang
Zhang, Baile
Luo, Yu
author_sort Hu, Hao
title Observation of topological edge states in thermal diffusion
title_short Observation of topological edge states in thermal diffusion
title_full Observation of topological edge states in thermal diffusion
title_fullStr Observation of topological edge states in thermal diffusion
title_full_unstemmed Observation of topological edge states in thermal diffusion
title_sort observation of topological edge states in thermal diffusion
publishDate 2022
url https://hdl.handle.net/10356/162857
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