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Updated: Jun 13, 2025

Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
Hierarchical bound states in heat transport
Shuihua Yang1, Guoqiang Xu1, Xue Zhou2
1Department of Electrical and Computer Engineering, National University of Singapore, Kent Ridge 117583, Republic of Singapore.
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.
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