Smart patterning for topological pumping of elastic surface waves

Abstract

Topological pumping allows waves to navigate a sample undisturbed by disorders and defects. We demonstrate this phenomenon with elastic surface waves by strategically patterning an elastic surface to create a synthetic dimension. The surface is decorated with arrays of resonating pillars that are connected by spatially slow-varying coupling bridges and support eigenmodes located below the sound cone. We establish a connection between the collective dynamics of the pillars and that of electrons in a magnetic field by developing a tight-binding model and a WKB (Wentzel-Kramers-Brillouin) analysis. This enables us to predict the topological pumping pattern, which we validate through numerical and experimental steering of waves from one edge to the other. Furthermore, we observe the immune nature of the topologically pumped surface waves to disorder and defects. The combination of surface patterning and WKB analysis provides a versatile platform for controlling surface waves and exploring topological matter in higher dimensions.

Life as the Explanation of the Measurement Problem

“…High-dimensional, fractionally dimensional, and complex-dimensional physical phenomena, such as synthetic dimensions [95] and photonic synthetic frequency dimension [96,97,98], multiphase fractal media [99,100], and complex geodesic paths in the presence of black hole singularities [101], are also a subject of research. In particular, 2D materials, such as graphene, which is also the subject of active experimental research, are closely related to (2 + i)-dimensional VS surfaces.…”

Self-assembled π-conjugated chromophores: preparation of one- and two-dimensional nanostructures and their use in photocatalysis

“…This is usually achieved by injecting an organic solution of the dye into water, which induces the hydrophobic collapse of monomers into supramolecular structures. [39][40][41] Organic molecules comprised of electron-rich donor and electron-deficient acceptor units can facilitate charge transfer in the excited state, 42,43 ultimately improving exciton dissociation and enhancing visible light absorption. One of the most exploited self-assembled dye system in photocatalysis is based on perylene diimides (PDIs, perylene-3,4,9,10-tetracarboxylic diimides).…”

Bio-inspired branch structure seismic metamaterial: attenuating low-frequency Rayleigh waves

“…Given the infinite repetition of the bio-inspired branch structure SMs, we implemented a periodic boundary condition along the y-direction. We utilized the FRF function to illustrate the transmission characteristics, as expressed in equation (1).…”

“…Surface elastic waves have been extensively studied in the context of acoustic metamaterials [1]. Nowadays, acoustic metamaterials are employed for the attenuation of seismic waves [2,3], often referred to as seismic crystals [4] or seismic metamaterials (SMs) [5].…”