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Unifying Description of the Vibrational Anomalies of Amorphous Materials

Shivam Mahajan and Massimo Pica Ciamarra
理论物理。Rev. Lett.127, 215504 – Published 19 November 2021
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Abstract

The vibrational density of states D ( ω ) of solids controls their thermal and transport properties. In crystals, the low-frequency modes are extended phonons distributed in frequency according to Debye’s law, D ( ω ) ω 2 . In amorphous solids, phonons are damped, and at low frequency D ( ω ) comprises extended modes in excess over Debye’s prediction, leading to the so-called boson peak in D ( ω ) / ω 2 at ω bp , and quasilocalized ones. Here we show that boson peak and phonon attenuation in the Rayleigh scattering regime are related, as suggested by correlated fluctuating elasticity theory, and that amorphous materials can be described as homogeneous isotropic elastic media punctuated by quasilocalized modes acting as elastic heterogeneities. Our numerical results resolve the conflict between theoretical approaches attributing amorphous solids’ vibrational anomalies to elastic disorder and localized defects.

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  • Received 9 June 2021
  • Revised 19 August 2021
  • Accepted 8 October 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.215504

© 2021 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Polymers & Soft Matter Statistical Physics Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Shivam Mahajan1andMassimo Pica Ciamarra1,2,3,*

  • 1Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371
  • 2CNRS@CREATE LTD, 1 Create Way, #08-01 CREATE Tower, Singapore 138602
  • 3CNR-SPIN, Dipartimento di Scienze Fisiche, Università di Napoli Federico II, I-80126, Napoli, Italy

  • *massimo@ntu.edu.sg

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Issue

Vol. 127, Iss. 21 — 19 November 2021

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