The nature of non-phononic excitations in disordered systems

Walter Schirmacher (), Matteo Paoluzzi, Felix Cosmin Mocanu, Dmytro Khomenko, Grzegorz Szamel, Francesco Zamponi and Giancarlo Ruocco ()
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Walter Schirmacher: Universität Mainz
Matteo Paoluzzi: Istituto per le Applicazioni del Calcolo del Consiglio Nazionale delle Ricerche
Felix Cosmin Mocanu: Univ. of Oxford
Dmytro Khomenko: Universita’ di Roma “La Sapienza”
Grzegorz Szamel: Colorado State University
Francesco Zamponi: Universita’ di Roma “La Sapienza”
Giancarlo Ruocco: Istituto Italiano di Tecnologia

Nature Communications, 2024, vol. 15, issue 1, 1-16

Abstract: 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.

Date: 2024
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DOI: 10.1038/s41467-024-46981-7

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