FiniteFrequency Topological Maxwell Modes in Mechanical SelfDual Kagome Lattices
Abstract
In this Letter, an elastic twisted kagome lattice at a critical twist angle, called selfdual kagome lattice, is shown to exhibit peculiar finitefrequency topological modes which emerge when certain conditions are satisfied. These states are topologically reminiscent to the zero energy (floppy) modes of Maxwell lattices but they occur at a finite frequency in the band gap of selfdual kagome lattice. Thus, we present a completely new class of topological modes which share similarities with both the zero frequency floppy modes in Maxwell lattices and the finite energy ingap modes in topological insulators. We envision the presented mathematical and numerical framework to be invaluable for many technological advances pertaining to wave phenomenon such as reconfigurable waveguide designs.
 Publication:

arXiv eprints
 Pub Date:
 April 2022
 arXiv:
 arXiv:2205.00101
 Bibcode:
 2022arXiv220500101D
 Keywords:

 Physics  Applied Physics
 EPrint:
 5 pages main article, 5 pages supplemental material