Torsional topology and fermion-like behavior of elastic waves in phononic structures

Pierre A. Deymier, Keith Runge, Nick Swinteck, Krishna Muralidharan

Research output: Contribution to journalShort surveypeer-review

27 Scopus citations


A one-dimensional block-spring model that supports rotational waves is analyzed within Dirac formalism. We show that the wave functions possess a spinor and a spatio-temporal part. The spinor part leads to a non-conventional torsional topology of the wave function. In the long-wavelength limit, field theoretical methods are used to demonstrate that rotational phonons can exhibit fermion-like behavior. Subsequently, we illustrate how information can be encoded in the spinor-part of the wave function by controlling the phonon wave phase.

Original languageEnglish (US)
Pages (from-to)700-711
Number of pages12
JournalComptes Rendus - Mecanique
Issue number12
StatePublished - Dec 1 2015


  • Fermions
  • Phononic structure
  • Phonons
  • Topological elastic waves

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials


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