Mechanical Weyl Modes in Topological Maxwell Lattices
Name
PhysRevLett.116.135503.pdf
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1.35 MB
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Author(s)
Rocklin, D. Zeb
Chen, Bryan Gin–ge
Vitelli, Vincenzo
Lubensky, T. C.
Falk, Martin Jin-teng
Date Issued
April 2016
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Rocklin, D. Zeb, Bryan Gin–ge Chen, Martin Falk, Vincenzo Vitelli, and T. C. Lubensky. “Mechanical Weyl Modes in Topological Maxwell Lattices.” Physical Review Letters 116, no. 13 (April 1, 2016). © 2016 American Physical Society
Version
Final published version
Abstract
We show that two-dimensional mechanical lattices can generically display topologically protected bulk zero-energy phonon modes at isolated points in the Brillouin zone, analogs of massless fermion modes of Weyl semimetals. We focus on deformed square lattices as the simplest Maxwell lattices, characterized by equal numbers of constraints and degrees of freedom, with this property. The Weyl points appear at the origin of the Brillouin zone along directions with vanishing sound speed and move away to the zone edge (or return to the origin) where they annihilate. Our results suggest a design strategy for topological metamaterials with bulk low-frequency acoustic modes and elastic instabilities at a particular, tunable finite wave vector.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.116.135503
