Robustness of conventional and topologically protected edge states in phononic crystal plates
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INVESTIGACIONMetadatos
Título
Robustness of conventional and topologically protected edge states in phononic crystal platesFecha de publicación
2018Editor
American Physical SocietyISSN
2469-9950; 2469-9969Cita bibliográfica
JIN, Yabin; TORRENT, Daniel; DJAFARI-ROUHANI, Bahram. Robustness of conventional and topologically protected edge states in phononic crystal plates. Physical Review B, 2018, vol. 98, no 5, p. 054307.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.054307Versión
info:eu-repo/semantics/publishedVersionResumen
Many efforts have been devoted to studying the robustness of topologically protected edge states in acoustics;
however, the robustness of conventional edge states is rarely reported. In this work we theoretically ... [+]
Many efforts have been devoted to studying the robustness of topologically protected edge states in acoustics;
however, the robustness of conventional edge states is rarely reported. In this work we theoretically study
interface acoustic states appearing in finite arrays of resonators on a thin plate with topologically protected
and conventional designs. Topologically protected interface states are first analyzed by employing the concept of
breaking inversion symmetry within the unit cell of a honeycomb lattice for cylindrical and spherical resonators;
we further demonstrate the robustness of the wave propagation along a zigzag path containing sharp corners
and defects. In parallel, a conventional interface state is also designed and compared to the same situations.
We found that the conventional interface state suffers backscattering in the zigzag path while it can show a
more confined wave transport in some cases. The presence of a defect along the propagation path scatters the
conventional interface wave and in particular can prohibit full propagation in the presence of a localized state
at the defect. Then, we show that the immunity of the topologically protected design needs the interface to be
surrounded by at least two hexagons of the phononic crystals on both sides, especially at the sharp corners in the
zigzag path, while the conventional design only needs one hexagon of bulk media with the advantage of compact
wave transport. Position and height disorders are further introduced to the interface pillars for both designs. It
is revealed that in both designs, the transmission decreases quasilinearly with position disorder while it exhibits
an abrupt drop with height disorder showing a transition threshold. With high disorder perturbation, waves can
hardly enter the interface for the topologically protected design, while waves are trapped at the interface for the
conventional design. A certain robustness against disorder is exhibited for conventional edge states. This work
provides insight into the interface states in micro- and nanoscale characterization and figures out the behaviors
for both topologically protected and conventional interface states. [-]
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PHYSICAL REVIEW B 98 (2018)Derechos de acceso
©2018 American Physical Society
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