Edge States and Topological Pumping in Spatially Modulated Elastic Lattices

Physical Review Letters
Matheus I N RosaMassimo Ruzzene

Abstract

Spatial stiffness modulations defined by the sampling of a two-dimensional surface provide one-dimensional elastic lattices with topological properties that are usually attributed to two-dimensional crystals. The cyclic modulation of the stiffness defines a family of lattices whose Bloch eigenmodes accumulate a phase quantified by integer valued Chern numbers. Nontrivial gaps are spanned by edge modes in finite lattices whose location is determined by the phase of the stiffness modulation. These observations drive the implementation of a topological pump in the form of an array of continuous elastic beams coupled through a distributed stiffness. Adiabatic stiffness modulations along the beams' length lead to the transition of localized states from one boundary, to the bulk and, finally, to the opposite boundary. The first demonstration of topological pumping in a continuous elastic system opens new possibilities for its implementation on elastic substrates supporting surface acoustic waves, or to structural components designed to steer waves or isolate vibrations.

References

Oct 15, 1993·Physical Review. B, Condensed Matter·Y Hatsugai
Nov 29, 1993·Physical Review Letters·Y Hatsugai
Sep 26, 2012·Physical Review Letters·Yaacov E KrausOded Zilberberg
Feb 15, 2013·Physical Review Letters·Mor VerbinYaron Silberberg
Apr 4, 2015·Physical Review Letters·Zhaoju YangBaile Zhang
Sep 19, 2015·Physical Review Letters·Pai WangKatia Bertoldi
Nov 5, 2015·Nature Communications·S Hossein MousaviZheng Wang
Nov 13, 2015·Proceedings of the National Academy of Sciences of the United States of America·Lisa M NashWilliam T M Irvine
Jan 5, 2018·Nature·Michael LohseImmanuel Bloch
Jan 5, 2018·Nature·Oded ZilberbergMikael C Rechtsman
May 20, 2018·Physical Review. E·Raj Kumar PalMassimo Ruzzene

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Citations

Feb 20, 2021·Physical Review Letters·Ze-Guo ChenGuancong Ma
Mar 23, 2021·Physical Review Letters·Yiwei XiaMassimo Ruzzene
Aug 21, 2021·Nature Communications·Hui ChenGuoliang Huang
Sep 18, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Hongbo HuangShaoyong Huo

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