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Localized and delocalized topological modes of heat
Jiaxin Li1, Chengxin Xu2, Zifu Xu1,2
1Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117583, Singapore.
Researchers introduce a new dimension to diffusion systems, enabling the creation of topological modes in heat transfer. This work paves the way for engineering topological edge states in dynamic diffusion scenarios.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Materials Science
Background:
- Topological physics has been successfully applied to classical wave systems like photonics, acoustics, and mechanics.
- There is a growing interest in extending topological concepts to diffusion phenomena.
Purpose of the Study:
- To propose and demonstrate a method for realizing topological phenomena in diffusion systems.
- To investigate the transformation of system eigenvalues by introducing an additional real-space dimension.
- To engineer localized and delocalized topological modes in heat transfer.
Main Methods:
- Introducing an additional real-space dimension to diffusion systems.
- Tailoring the effective Hamiltonian using coupling networks.
- Utilizing simulations and experiments in active thermal lattices.
Main Results:
- System eigenvalues are transformed from "imaginary" to "real."
- Localized and delocalized topological modes are successfully realized in heat transfer.
- Experimental validation of the theoretical strategy in active thermal lattices.
Conclusions:
- The proposed approach effectively establishes topological lattices in diffusion systems.
- This work offers insights into engineering topologically protected edge states in dynamic diffusive scenarios.
- The method can be extended to various diffusion systems.
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