Robustness of topological corner modes against disorder with application to acoustic networks

Antonin Coutant; Vassos Achilleos; Olivier Richoux; Georgios Theocharis; Vincent Pagneux

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Robustness of topological corner modes against disorder with application to acoustic networks

机译：拓扑拐角模式对紊乱与应用到声学网络的鲁棒性

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We study the two-dimensional extension of the Su-Schrieffer-Heeger model in its higher-order topological insulator phase, which is known to host corner states. Using the separability of the model into a product of one-dimensional Su-Schrieffer-Heeger chains, we analytically describe the eigenmodes, and specifically the zero-energy level, which includes states localized in corners. We then consider networks with disordered hopping coefficients that preserve the chiral (sublattice) symmetry of the model. We show that the corner mode and its localization properties are robust against disorder if the hopping coefficients have a vanishing flux on appropriately defined superplaquettes. We then show how this model with disorder can be realized using an acoustic network of air channels, and confirm the presence and robustness of corner modes.

机译：我们研究了苏 - 施莱弗 - 赫格格模型在其高阶拓扑绝缘体阶段的二维延伸，该阶段已知举办角落状态。使用模型的可分离分为一维Su-Schrieffer-Heeger链中的产品，我们分析描述了特征模点，特别是零能级，包括局部地在角落内局部化的状态。然后，我们考虑具有无序跳跃系数的网络，该系数保持模型的手性（Sublattice）对称性。我们表明，如果跳跃系数在适当定义的超自图上具有消失的通量，则拐角模式及其本地化属性是稳健的。然后，我们展示如何使用空中通道的声学网络实现这种模型如何实现，并确认角落模式的存在和稳健性。

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《Physical review.B.Condensed matter and materials physics》 |2020年第21期|214204.1-214204.16|共16页
作者
Antonin Coutant; Vassos Achilleos; Olivier Richoux; Georgios Theocharis; Vincent Pagneux;
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Laboratoire d'Acoustique de l'Universile du Mans Unite Mixte de Recherche 6613 Centre National de la Recherche Scientifique Avenue O. Messiaen F-72085 Le Mans Cedex 9 France and Institut de Mathematiques de Bourgogne (IMB) UMR 5584 CNRS Universite de Bourgogne Franche-Comte F-21000 Dijon France;

Laboratoire d'Acoustique de I'Universile du Mans Unite Mixte de Recherche 6613 Centre National de la Recherche Scientifique Avenue O. Messiaen F-72085 Le Mans Cedex 9 France;

Laboratoire d'Acoustique de I'Universile du Mans Unite Mixte de Recherche 6613 Centre National de la Recherche Scientifique Avenue O. Messiaen F-72085 Le Mans Cedex 9 France;

Laboratoire d'Acoustique de I'Universile du Mans Unite Mixte de Recherche 6613 Centre National de la Recherche Scientifique Avenue O. Messiaen F-72085 Le Mans Cedex 9 France;

Laboratoire d'Acoustique de I'Universile du Mans Unite Mixte de Recherche 6613 Centre National de la Recherche Scientifique Avenue O. Messiaen F-72085 Le Mans Cedex 9 France;

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1. Topological two-dimensional Su-Schrieffer-Heeger analog acoustic networks: Total reflection at corners and corner induced modes [J] . Antonin Coutant, Vassos Achilleos, Olivier Richoux, Journal of Applied Physics . 2021,第12期

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2. Acoustic topological phase transition induced by band inversion of high-order compound modes and robust pseudospin-dependent transport? [J] . Yan Li, Yi-Nuo Liu, Xia Zhang 中国物理：英文版 . 2020,第010期

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3. Topological Edge Floppy Modes in Disordered Fiber Networks [J] . Zhou Di, Zhang Leyou, Mao Xiaoming Physical review letters . 2018,第6期

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4. Modeling of Topologically-Disordered Tetrahedral Network Structures using Local Rules [C] . C. E. Jesurum, V. Pulim, L. W. Hobbs, . 1997

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5. Robust filtering for uncertain models with applications to wireless networks. [D] . Subramanian, Ananth. 2004

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6. Research and applications: Network models of genome-wide association studies uncover the topological centrality of protein interactions in complex diseases [O] . Younghee Lee, Haiquan Li, Jianrong Li, 2013

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7. Comparing acoustic features for robust ASR in fixed and cellular network applications [O] . Wet F. de, Cranen B., Veth J.M. de, 2000

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Robustness of topological corner modes against disorder with application to acoustic networks

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