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Related Experiment Video

Updated: Aug 12, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Higher-Order Topological States in Thermal Diffusion.

Haotian Wu1, Hao Hu1, Xixi Wang1

  • 1School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798, Singapore.

Advanced Materials (Deerfield Beach, Fla.)
|February 2, 2023
PubMed
Summary

Researchers experimentally realized higher-order thermal topological insulators in 2D lattices. This breakthrough enables topological protection for thermal diffusion in corner states, advancing thermal management beyond 1D systems.

Keywords:
amorphous deformationanti-Hermiticityhigher-order topological insulatorsthermal diffusionthermal functional materials

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Area of Science:

  • Condensed Matter Physics
  • Metamaterials Science
  • Thermal Transport Phenomena

Background:

  • Conventional topological materials exhibit topological states at their boundaries.
  • Higher-order topological materials support topological states at boundaries of boundaries (e.g., corners, hinges).
  • Previous extensions of band topology to thermal diffusion were limited to 1D lattices, precluding higher-order topological phenomena.

Purpose of the Study:

  • To experimentally realize a higher-order thermal topological insulator.
  • To investigate topological corner states in a 2D diffusion lattice.
  • To demonstrate topological protection of thermal diffusion states.

Main Methods:

  • Fabrication of a generalized 2D diffusion lattice.
  • Characterization of thermal diffusion properties.
  • Analysis of the anti-Hermitian diffusion Hamiltonian and its bandgap.

Main Results:

  • Experimental observation of topological corner states for thermal diffusion within the bulk diffusion rate bandgap.
  • Demonstration of the anti-Hermitian nature of the diffusion Hamiltonian leading to these states.
  • Confirmation of topological protection through the stability of corner state diffusion profiles under amorphous deformation.

Conclusions:

  • This work represents the first experimental realization of higher-order topology in purely diffusive systems.
  • The findings pave the way for advanced thermal management strategies utilizing topological protection.
  • The study extends topological concepts to 2D thermal diffusion, enabling novel functionalities beyond 1D geometries.