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X. Ni, M. Weiner, A. Alú, A. Khanikaev (2018)
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All the simulations are performed using finite element solver COMSOL Multiphysics (Pressure Acoustics module), with the walls modelled as acoustic hard-wall boundaries
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Methods Fabrication and simulation. The aluminum plates are fabricated using mechanical machining
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Topological Insulators
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M. Ezawa (2018)
Strong and weak second-order topological insulators with hexagonal symmetry and Z_{3} index
Higher-order topological insulators 1–5 are a family of recently predicted topological phases of matter that obey an extended topological bulk–boundary correspondence principle. For example, a two-dimensional (2D) second-order topological insulator does not exhibit gapless one-dimensional (1D) topological edge states, like a standard 2D topological insulator, but instead has topologically protected zero-dimensional (0D) corner states. The first prediction of a second-order topological insulator 1 , based on quantized quadrupole polarization, was demonstrated in classical mechanical 6 and electromagnetic 7,8 metamaterials. Here we experimentally realize a second-order topological insulator in an acoustic metamaterial, based on a ‘breathing’ kagome lattice 9 that has zero quadrupole polarization but a non-trivial bulk topology characterized by quantized Wannier centres 2,9,10 . Unlike previous higher-order topological insulator realizations, the corner states depend not only on the bulk topology but also on the corner shape; we show experimentally that they exist at acute-angled corners of the kagome lattice, but not at obtuse-angled corners. This shape dependence allows corner states to act as topologically protected but reconfigurable local resonances.
Nature Materials – Springer Journals
Published: Dec 31, 2018
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