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

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18 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)
JournalComptes Rendus - Mecanique
Publication statusAccepted/In press - Jan 15 2015



  • Fermions
  • Phononic structure
  • Phonons
  • Topological elastic waves

ASJC Scopus subject areas

  • Mechanics of Materials
  • Materials Science(all)

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