Journal
NEW JOURNAL OF PHYSICS
Volume 19, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/aa6996
Keywords
topological acoustics; Kagome lattice; symmetry protected topological states; topological invariant
Categories
Funding
- NSF
- CMMI
- EFRI
- Simons Foundation
- Russian Science Foundation [16-19-10538]
- Russian Science Foundation [16-19-10538] Funding Source: Russian Science Foundation
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1660491] Funding Source: National Science Foundation
- Division Of Human Resource Development
- Direct For Education and Human Resources [1547830] Funding Source: National Science Foundation
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We demonstrate that an acoustic Kagome lattice formed by an array of interconnected resonant cavities exhibits a new class of topological states protected by C-3 symmetry, and it is characterised by a topological invariant in the form of a winding number in Pauli vector space. This acoustic topological metamaterial can be considered as the two-dimensional analogue of the Su-Schrieffer-Heeger model, exhibiting a topological transition when a detuning is introduced between the inter-cell and intra-cell hopping amplitudes. The topological transition caused by such detuning is accompanied by the opening of a complete topological band gap, which may host edge states. The edge states emerge on either truncated ends of the lattice terminated by a cladding layer or at the domain walls between topologically nontrivial and trivial domains. First-principles simulations based on full-wave finite element method are used to design the lattice and confirm our analytical predictions.
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