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Vibrational spectrum derived from local mechanical response in disordered solids.

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Scientists explain quasilocalized vibrations (QLVs) in glasses using elasticity theory. A newly identified elastic instability explains the quartic law in their vibrational density of states (vDOS).

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Amorphous Solids

Background:

  • Low-frequency vibrations in glasses differ significantly from crystals.
  • Vibrations are classified as spatially extended (non-Debye quadratic vDOS) or quasilocalized (QLVs, quartic vDOS).
  • The origin of QLVs remains debated, unlike spatially extended vibrations explained by elasticity theory.

Purpose of the Study:

  • To elucidate the origin of quasilocalized vibrations (QLVs) in glasses.
  • To demonstrate that QLVs can be derived from elasticity theory with quenched disorder.
  • To identify a previously overlooked elastic instability responsible for QLVs.

Main Methods:

  • Analysis of elasticity theory with quenched disorder.
  • Identification of an elastic instability related to local dipolar forces.
  • Modeling the vibrational density of states (vDOS) contribution from the identified instability.

Main Results:

  • A novel elastic instability, driven by local dipolar forces, is identified within elasticity theory.
  • This instability generates an additional contribution to the vibrational density of states (vDOS).
  • The characteristics of this instability-driven mode align with those of QLVs, exhibiting a quartic vDOS.

Conclusions:

  • The study provides a theoretical explanation for quasilocalized vibrations (QLVs) in glasses.
  • A newly discovered elastic instability accounts for the quartic law in the vDOS of QLVs.
  • Elasticity theory with quenched disorder comprehensively describes both types of low-frequency vibrations in glasses.