English

Phonon Bloch Oscillations

Classical Physics 2023-05-23 v1 Other Condensed Matter

Abstract

The classical motion of a one-dimensional chain of atoms coupled through a specific force function that depends on position shows features very similar to the Wannier-Stark problem of a quantum particle under the combined effects of a periodic lattice potential and a constant electric field. Both problems exhibit localized modes and a ladder of equally-spaced eigenfrequencies, leading to temporal dynamics characterized by periodic oscillations.

Keywords

Cite

@article{arxiv.2305.11880,
  title  = {Phonon Bloch Oscillations},
  author = {R. Merlin},
  journal= {arXiv preprint arXiv:2305.11880},
  year   = {2023}
}
R2 v1 2026-06-28T10:39:33.583Z