Localized and delocalized topological modes of heat

The topological physics has sparked intensive investigations into topological lattices in photonic, acoustic, and mechanical systems, powering counterintuitive effects otherwise inaccessible with usual settings. Following the success of these endeavors in classical wave dynamics, there has been a growing interest in establishing their topological counterparts in diffusion. Here, we propose an additional real-space dimension in diffusion, and the system eigenvalues are transformed from "imaginary" to "real." By judiciously tailoring the effective Hamiltonian with coupling networks, localized and delocalized topological modes are realized in heat transfer. Simulations and experiments in active thermal lattices validate the effectiveness of the proposed theoretical strategy. This approach can be applied to establish various topological lattices in diffusion systems, offering insights into engineering topologically protected edge states in dynamic diffusive scenarios.

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Publication Details

Journal
Proceedings of the National Academy of Sciences
Published
2024-08-20
DOI
https://doi.org/10.1073/pnas.2408843121
Citations
7
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
2.36

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article

Localized and delocalized topological modes of heat

Chengxin Xu, Jiaxin Li, Shuihua Yang, Tianlong Li et al.
7 citations
Proceedings of the National Academy of Sciences
Topological Materials and Phenomena
2.36
article

Localized and delocalized topological modes of heat

Chengxin Xu, Jiaxin Li, Shuihua Yang, Tianlong Li, Kaipeng Liu, Guoqiang Xu, Cheng‐Wei Qiu, Zifu Xu, Jianfeng Chen
article en
7 citations

Abstract

The topological physics has sparked intensive investigations into topological lattices in photonic, acoustic, and mechanical systems, powering counterintuitive effects otherwise inaccessible with usual settings. Following the success of these endeavors in classical wave dynamics, there has been a growing interest in establishing their topological counterparts in diffusion. Here, we propose an additional real-space dimension in diffusion, and the system eigenvalues are transformed from "imaginary" to "real." By judiciously tailoring the effective Hamiltonian with coupling networks, localized and delocalized topological modes are realized in heat transfer. Simulations and experiments in active thermal lattices validate the effectiveness of the proposed theoretical strategy. This approach can be applied to establish various topological lattices in diffusion systems, offering insights into engineering topologically protected edge states in dynamic diffusive scenarios.

Proceedings of the National Academy of SciencesVol. 121(35)
National University of Singapore (SG), Harbin Institute of Technology (CN)
Ministry of Education - Singapore, National Natural Science Foundation of China, Harbin Institute of Technology, Natural Science Foundation of Chongqing, Centre Scientifique et Technique du Bâtiment, National Key Research and Development Program of China
Sustainable cities and communities
Openalex Percentile: Top 11%
Topological Materials and Phenomena
2.36
DOIOpen Access PDFOpenAlex
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Localized and delocalized topological modes of heat — Chengxin Xu, Jiaxin Li, et al. · Proceedings of the National Academy of Sciences (2024) | TGRS Research Map | TGRS