Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 55 min ago
PreprintCC BY 4.0arXiv

Resonant Coupling and the Non-Phononic Flat Band in Amorphous Solids

  • Matteo Baggioli
  • Bingyu Cui
Open at sourcePDFDOICite

Abstract

Recent experiments and simulations provide compelling evidence for the emergence of a non-phononic flat band in the dynamical structure factor of two- and three-dimensional amorphous solids. This feature has been suggested to be connected to the excess in the reduced vibrational density of states of glasses, commonly known as the boson peak, and displays several apparently universal characteristics. First, it is nearly dispersionless, with an energy close to the boson-peak frequency. Second, its intensity is negligible below a critical wave vector of the order of the first diffraction peak. Third, its reduced intensity exhibits a strong correlation with the static structure factor. Here, we revisit the resonant-coupling model, a single-mode harmonic realization of the soft-potential scenario in which acoustic phonons interact with single frequency quasi-localized vibrations. We show that, under minimal phenomenological assumptions, this framework naturally reproduces the main features of the observed flat band and clarifies its connection to the boson peak.

Versions

Related

  1. The electromagnetic stress tensor in cubic crystals and amorphous solids
    Richard Dengler
    arXivPreprintCC BY 4.0Full textCondensed matterOptics & photonicsarXiv
  2. kstress: a LAMMPS package for calculating the 2D wavevector-dependent stress tensor and its anisotropy in amorphous solids
    Olivier Benzerara, Jörg Baschnagel, Alexander N. Semenov +1
    arXivPreprintCC BY 4.0Full textComputational physicsCondensed matterarXiv
  3. Magic-free coexisting photonic and phononic moiré flat bands
    Ziming Chen, Kaiyu Cui, Ning Wu +8
    arXivPreprintarXiv licenceFull textApplied physics & instrumentationCondensed matterarXiv
  4. Interaction of Sustained Vortex Shedding with a Phononic Subsurface: Effect of Positioning and Resonant Characteristics
    Sangwon Park, Vinod Ramakrishnan, Arturo Machado Burgos +2
    arXivPreprintCC BY-NC-SA 4.0Full textFluid dynamicsarXiv
  5. Cross-Family Mode Coupling and Localization Reversal in Phononic Crystal Defect Dimers
    Xinlin Xu, Junji Kato
    arXivPreprintarXiv licenceFull textCondensed matterarXiv

Cite

BibTeXRIS
BibTeX
@misc{baggioli2026resonant,
  title = {{Resonant Coupling and the Non-Phononic Flat Band in Amorphous Solids}},
  author = {Matteo Baggioli and Bingyu Cui},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2606.01593},
  eprint = {2606.01593},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.01593},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Resonant Coupling and the Non-Phononic Flat Band in Amorphous Solids
AU  - Matteo Baggioli
AU  - Bingyu Cui
PY  - 2026
DA  - 2026/08/17
PB  - arXiv
DO  - 10.48550/arxiv.2606.01593
UR  - https://arxiv.org/abs/2606.01593
AB  - Recent experiments and simulations provide compelling evidence for the emergence of a non-phononic flat band in the dynamical structure factor of two- and three-dimensional amorphous solids. This feature has been suggested to be connected to the excess in the reduced vibrational density of states of glasses, commonly known as the boson peak, and displays several apparently universal characteristics. First, it is nearly dispersionless, with an energy close to the boson-peak frequency. Second, its intensity is negligible below a critical wave vector of the order of the first diffraction peak. Third, its reduced intensity exhibits a strong correlation with the static structure factor. Here, we revisit the resonant-coupling model, a single-mode harmonic realization of the soft-potential scenario in which acoustic phonons interact with single frequency quasi-localized vibrations. We show that, under minimal phenomenological assumptions, this framework naturally reproduces the main features of the observed flat band and clarifies its connection to the boson peak.
ER  -