Topological Phononic Crystals with One-Way Elastic Edge Waves.

By Pai Wang, Ling Lu, Katia Bertoldi. Physical Review Letters, 2015

700 citations recorded by the source corpus.

We report a new type of phononic crystals with topologically nontrivial band gaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves. In our design, gyroscopic inertial effects are used to break the time-reversal symmetry and realize the phononic analogue of the electronic quantum (anomalous) Hall effect. We investigate the response of both hexagonal and square gyroscopic lattices and observe bulk Chern numbers of 1 and 2, indicating that these structures support single and multimode edge elastic waves immune to backscattering. These robust one-way phononic waveguides could potentially lead to the design of a novel class of surface wave devices that are widely used in electronics, telecommunication, and acoustic imaging.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Geophysics

View Paper: https://www.semanticscholar.org/paper/138186a4805e562b8c2023fe08eecdf5956a96fb

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Citations in the corpus

Topological mechanics of gyroscopic metamaterials (2015, background): “In the concluding stages of the present work, we became aware of a parallel independent effort in which a class of topological gyroscopic metamaterials was theoretically analyzed (32).”
Symmetry-protected topological photonic crystal in three dimensions (2015, neutral): “[43] Pai Wang, Ling Lu, and Katia Bertoldi, “Topological phononic crystals with one-way elastic edge waves,” arXiv preprint arXiv:1504.”
Three-dimensional all-dielectric photonic topological insulator (2016, background): “Following the footsteps of condensed matter topological systems, a significant progress has been recently made in understanding and realizing topological states for bosons [ 1, 2, 3, 4, 5] and in classical systems [ 6, 7, 8, 9, 10, 11, 12, 13, 14 15, 16, 17, 18, 19, 20, 21, 22, 23].”
Amorphous topological insulators constructed from random point sets (2016, background): “roscopes break time-reversal symmetry, opening topological phononic band gaps and supporting robust chiral edge modes [5, 6].”
Tailoring Structure‐Borne Sound through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review (2022, background): “topological elastic states to structural defects by either creating point, line or arbitrary defects via the removal of several unit cells, or even deforming the lattice [164,165,167,261,262,267,268,272,273].”
Artificial gauge fields in materials and engineered systems (2017, neutral): “Topological effects can also be induced in classical mechanical systems [488,196,213,489,490,197,215,491], based on the recent development of various types of acoustic meta-materials [492].”