Arbitrarily Configurable Nonlinear Topological Modes,Physical Review Letters

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Arbitrarily Configurable Nonlinear Topological Modes
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-09-12 , DOI: 10.1103/physrevlett.133.116602
Kai Bai ₁ , Jia-Zheng Li ₁ , Tian-Rui Liu ₁ , Liang Fang ₁ , Duanduan Wan ₁ , Meng Xiao _{1,

2}

Affiliation

Topological modes (TMs) are typically localized at boundaries, interfaces and dislocations, and exponentially decay into the bulk of a large enough lattice. Recently, the non-Hermitian skin effect has been leveraged to delocalize the wave functions of TMs from the boundary and thus to increase the capacity of TMs dramatically. Here, we explore the capability of nonlinearity in designing and configuring the wave functions of TMs. With growing intensity, wave functions of these in-gap nonlinear TMs undergo an initial deviation from exponential decay, gradually merge into arbitrarily designable plateaus, then encompass the entire nonlinear domain, and eventually concentrate at the nonlinear boundary. Intriguingly, such extended nonlinear TMs are still robust against defects and disorders, and stable in dynamics under external excitation. Advancing the conceptual understanding of the nonlinear TMs, our results open new avenues for increasing the capacity of TMs and developing compact and configurable topological devices.

中文翻译：

任意可配置的非线性拓扑模式

拓扑模式（TM）通常位于边界、界面和位错处，并呈指数衰减到足够大的晶格的主体中。最近，非厄米趋肤效应已被用来使TM的波函数离域于边界，从而显着提高TM的容量。在这里，我们探索非线性在设计和配置 TM 波函数中的能力。随着强度的增加，这些带隙内非线性TM的波函数经历了指数衰减的初始偏差，逐渐合并到任意可设计的平台，然后涵盖整个非线性域，并最终集中在非线性边界。有趣的是，这种扩展的非线性 TM 对于缺陷和紊乱仍然具有鲁棒性，并且在外部激励下动态稳定。我们的研究结果推进了对非线性 TM 的概念理解，为提高 TM 的容量和开发紧凑且可配置的拓扑器件开辟了新途径。

更新日期：2024-09-12

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