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1 April 2019 Elastic waves in Floquet topological insulators (Conference Presentation)
Hui Chen, Hussein Nassar, Guoliang Huang
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Proceedings Volume 10972, Health Monitoring of Structural and Biological Systems XIII; 1097219 (2019) https://doi.org/10.1117/12.2514367
Event: SPIE Smart Structures + Nondestructive Evaluation, 2019, Denver, Colorado, United States
Abstract
Floquet Topological Insulators (FTIs) have inspired analogues in photonics, optics, and acoustics, in which non-reciprocal wave propagation in topologically protected materials, with topological immunity against structural defects and disorder, is achieved due to the breaking of time-reversal symmetry induced by time-modulation. This study aims at investigating a possibility for the existence of a mechanical analogue to the Quantum Hall Effect (QHE) in one and two-dimensional periodically modulated lattices. In 1D, the system shows topologically protected one-way edge modes as the time-modulation is turned on, which is demonstrated by the principle of bulk-edge correspondence and transient numerical simulations. The study is then extended to 2D hexagonal lattices to demonstrate the existence of Floquet topological edge modes. The band diagram and helical edge states characteristic of QHE are obtained by using the Plane Wave Expansion (PWE) method. Given the breakage of the time-reversal symmetry, the system switches from the trivial state to the nontrivial topological one that is quantified in terms of topological invariant Chern numbers. Last, the robustness of one-way edge modes and their immunity to backscattering by sharp corners, defects and modulation disorders are analyzed and assessed numerically.
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Hui Chen, Hussein Nassar, and Guoliang Huang "Elastic waves in Floquet topological insulators (Conference Presentation)", Proc. SPIE 10972, Health Monitoring of Structural and Biological Systems XIII, 1097219 (1 April 2019); https://doi.org/10.1117/12.2514367
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KEYWORDS
Dielectrics
Modulation
Acoustics
Backscatter
Numerical simulations
Photonics
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