Propagation of waves in high Brillouin zones: Chaotic branched flow and stable superwires

Alvar Daza, Eric J. Heller, Anton M. Graf, Esa Räsänen

Research output: Contribution to journalArticleScientificpeer-review


We report unexpected classical and quantum dynamics of a wave propagating in a periodic potential in high Brillouin zones. Branched flow appears at wavelengths shorter than the typical length scale of the ordered periodic structure and for energies above the potential barrier. The strongest branches remain stable indefinitely and may create linear dynamical channels, wherein waves are not confined directly by potential walls as electrons in ordinary wires but rather, indirectly and more subtly by dynamical stability. We term these superwires since they are associated with a superlattice.

Original languageEnglish
Article numbere2110285118
Number of pages7
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number40
Publication statusPublished - 5 Oct 2021
Publication typeA1 Journal article-refereed


  • Branched flow
  • Chaos
  • Superlattices
  • Wave dynamics

Publication forum classification

  • Publication forum level 3

ASJC Scopus subject areas

  • General


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