Hierarchical bound states in heat transport

Author:

Yang Shuihua1ORCID,Xu Guoqiang1,Zhou Xue2,Li Jiaxin1,Kong Xianghong1,Zhou Chenglong3,Fan Haiyan4,Chen Jianfeng1,Qiu Cheng-Wei15ORCID

Affiliation:

1. Department of Electrical and Computer Engineering, National University of Singapore, Kent Ridge 117583, Republic of Singapore

2. School of Computer Science and Information Engineering, Chongqing Technology and Business University, Chongqing 400067, China

3. School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

4. Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, SAR 999077, China

5. Nanotech Energy and Environment Platform, National University of Singapore Suzhou Research Institute, Suzhou 215123, China

Abstract

Higher-order topological phases in non-Hermitian photonics revolutionize the understanding of wave propagation and modulation, which lead to hierarchical states in open systems. However, intrinsic insulating properties endorsed by the lattice symmetry of photonic crystals fundamentally confine the robust transport only at explicit system boundaries, letting alone the flexible reconfiguration in hierarchical states at arbitrary positions. Here, we report a dynamic topological platform for creating the reconfigurable hierarchical bound states in heat transport systems and observe the robust and nonlocalized higher-order states in both the real- and imaginary-valued bands. Our experiments showcase that the hierarchical features of zero-dimension corner and nontrivial edge modes occur at tailored positions within the system bulk states instead of the explicit system boundaries. Our findings uncover the mechanism of non-localized hierarchical non-trivial topological states and offer distinct paradigms for diffusive transport field management.

Funder

Ministry of Education - Singapore

National Research Foundation Singapore

MOST | National Natural Science Foundation of China

Chongqing Municipal Education Commission Foundation

Publisher

Proceedings of the National Academy of Sciences

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