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The nature of non-phononic excitations in disordered systems

Author

Listed:
  • Walter Schirmacher

    (Universität Mainz
    Istituto Italiano di Tecnologia)

  • Matteo Paoluzzi

    (Istituto per le Applicazioni del Calcolo del Consiglio Nazionale delle Ricerche
    Universitat de Barcelona
    Universita’ di Roma “La Sapienza”)

  • Felix Cosmin Mocanu

    (Univ. of Oxford
    Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris Cité)

  • Dmytro Khomenko

    (Universita’ di Roma “La Sapienza”)

  • Grzegorz Szamel

    (Colorado State University)

  • Francesco Zamponi

    (Universita’ di Roma “La Sapienza”
    Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris Cité)

  • Giancarlo Ruocco

    (Istituto Italiano di Tecnologia
    Universita’ di Roma “La Sapienza”)

Abstract

The frequency scaling exponent of low-frequency excitations in microscopically small glasses, which do not allow for the existence of waves (phonons), has been in the focus of the recent literature. The density of states g(ω) of these modes obeys an ωs scaling, where the exponent s, ranging between 2 and 5, depends on the quenching protocol. The orgin of these findings remains controversal. Here we show, using heterogeneous-elasticity theory, that in a marginally-stable glass sample g(ω) follows a Debye-like scaling (s = 2), and the associated excitations (type-I) are of random-matrix type. Further, using a generalisation of the theory, we demonstrate that in more stable samples, other, (type-II) excitations prevail, which are non-irrotational oscillations, associated with local frozen-in stresses. The corresponding frequency scaling exponent s is governed by the statistics of small values of the stresses and, therefore, depends on the details of the interaction potential.

Suggested Citation

  • Walter Schirmacher & Matteo Paoluzzi & Felix Cosmin Mocanu & Dmytro Khomenko & Grzegorz Szamel & Francesco Zamponi & Giancarlo Ruocco, 2024. "The nature of non-phononic excitations in disordered systems," Nature Communications, Nature, vol. 15(1), pages 1-16, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-46981-7
    DOI: 10.1038/s41467-024-46981-7
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    References listed on IDEAS

    as
    1. T. S. Grigera & V. Martín-Mayor & G. Parisi & P. Verrocchio, 2003. "Phonon interpretation of the ‘boson peak’ in supercooled liquids," Nature, Nature, vol. 422(6929), pages 289-292, March.
    2. Lijin Wang & Andrea Ninarello & Pengfei Guan & Ludovic Berthier & Grzegorz Szamel & Elijah Flenner, 2019. "Low-frequency vibrational modes of stable glasses," Nature Communications, Nature, vol. 10(1), pages 1-7, December.
    3. Camille Scalliet & Ludovic Berthier & Francesco Zamponi, 2019. "Nature of excitations and defects in structural glasses," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
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