Revealing topological attributes of stiff plates by Dirac factorization of their 2D elastic wave equation
AffiliationDepartment of Materials Science and Engineering, University of Arizona
MetadataShow full item record
PublisherAmerican Institute of Physics Inc.
CitationDeymier, P. A., & Runge, K. (2022). Revealing topological attributes of stiff plates by Dirac factorization of their 2D elastic wave equation. Applied Physics Letters.
JournalApplied Physics Letters
RightsCopyright © 2022 Author(s). Published under an exclusive license by AIP Publishing.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at email@example.com.
AbstractDirac factorization of the elastic wave equation of two-dimension stiff plates coupled to a rigid substrate reveals the possible topological properties of elastic waves in this system. These waves may possess spin-like degrees of freedom associated with a gapped band structure reminiscent of the spin Hall effect. In semi-infinite plates or strips with zero displacement edges, the Dirac-factored elastic wave equation shows the possibility of edge modes moving in opposite directions. The finite size of strips leads to overlap between edge modes consequently opening a gap in their spectrum eliminating the spin Hall-like effects. This Dirac factorization tells us what solutions of the elastic wave equation would be if we could break some symmetry. Dirac factorization does not break symmetry but simply exposes what topological properties of elastic waves may result from symmetry breaking structural or external perturbations. © 2022 Author(s).
Note12 month embargo; published online: 22 February 2022
VersionFinal published version