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Interface states in two-dimensional quasicrystals with broken inversion symmetry

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Author(s):
Beli, Danilo ; Rosa, Matheus I. N. ; Lomazzi, Luca ; De Marqui Jr, Carlos ; Ruzzene, Massimo
Total Authors: 5
Document type: Journal article
Source: PHYSICAL REVIEW APPLIED; v. 23, n. 2, p. 16-pg., 2025-02-18.
Abstract

We investigate the existence of interface states induced by broken inversion symmetries in twodimensional quasicrystal (QC) lattices. We introduce a 10-fold rotationally symmetric QC lattice whose inversion symmetry is broken through a mass dimerization that produces two fivefold symmetric sublattices. By considering resonator scatterers attached to an elastic plate, we illustrate the emergence of bands of interface states that accompany a band inversion of the QC spectrum as a function of the dimerization parameter. These bands are filled by modes which are localized along domain wall interfaces separating regions of opposite inversion symmetry. These features draw parallels to the dynamic behavior of topological interface states in the context of the valley Hall effect, which has so far been limited to periodic lattices. We numerically and experimentally demonstrate waveguiding in a QC lattice featuring a zigzag interface with sharp turns of 36 degrees, which goes beyond the limitation of 60 degrees associated with sixfold symmetric (i.e., honeycomb) periodic lattices. Our results provide new opportunities for symmetry-based quasicrystalline topological waveguides that do not require time-reversal symmetry breaking, and that allow for higher freedom in the design of their waveguiding trajectories by leveraging higher-order rotational symmetries. (AU)

FAPESP's process: 18/18774-6 - Manipulating Mechanical Waves Using Programmable Periodic Structures
Grantee:Danilo Beli
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 18/15894-0 - Periodic structure design and optimization for enhanced vibroacoustic performance: ENVIBRO
Grantee:Carlos de Marqui Junior
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 19/22464-5 - Manipulating elastic waves using topological modes - phase I
Grantee:Danilo Beli
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor