Pseudo-Spin Polarized One-Way Elastic Wave Eigenstates in One-Dimensional Phononic Superlattices

Pierre A. Deymier, Keith A Runge, Alexander Khanikaev, Andrea Alù

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We investigate a one-dimensional discrete binary elastic superlattice bridging continuous models of superlattices that showcase a one-way propagation character, as well as the discrete elastic Su–Schrieffer–Heeger model, which does not exhibit this character. By considering Bloch wave solutions of the superlattice wave equation, we demonstrate conditions supporting elastic eigenmodes that do not satisfy the translational invariance of Bloch waves over the entire Brillouin zone, unless their amplitude vanishes for a certain wave number. These modes are characterized by a pseudo-spin and occur only on one side of the Brillouin zone for a given spin, leading to spin-selective one-way wave propagation. We demonstrate how these features result from the interplay of the translational invariance of Bloch waves, pseudo-spins, and a Fabry–Pérot resonance condition in the superlattice unit cell.

Original languageEnglish (US)
Article number92
Issue number1
StatePublished - Jan 2024


  • one-way propagation
  • phononic superlattice
  • pseudo spin
  • topological acoustics

ASJC Scopus subject areas

  • General Chemical Engineering
  • General Materials Science
  • Condensed Matter Physics
  • Inorganic Chemistry


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