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Phonons in stringlet-land and the boson peak.

Cunyuan Jiang1,2,3, Matteo Baggioli1,2,3

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Localized 1D string-like excitations (stringlets) in solids create the boson peak (BP) anomaly in vibrational density of states. This finding explains sound attenuation and speed dips, aligning with simulations and experiments.

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amorphous solidsboson peakquasi-localised defectsstring-like defectsvibrational anomalies

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Solids deviating from harmonic crystal models show anomalies in specific heat and vibrational density of states (VDOS).
  • The boson peak (BP), a VDOS excess over Debye's law, is a key anomaly whose origin remains debated.
  • Recent simulations suggest localized 1D string-like excitations (stringlets) may cause the BP.

Purpose of the Study:

  • To theoretically investigate the dynamics of acoustic phonons interacting with vibrating stringlets.
  • To determine if stringlet dynamics can explain the boson peak anomaly and associated sound properties.
  • To validate recent simulation findings on the microscopic origin of the BP.

Main Methods:

  • Developing a theoretical model of acoustic phonons interacting with a bath of 1D stringlets with exponential size distribution.
  • Analyzing the renormalization of the phonon propagator due to stringlet interactions.
  • Calculating the VDOS, sound attenuation, and speed of sound within the model.

Main Results:

  • Stringlets strongly renormalize the phonon propagator, inducing a boson peak anomaly in the VDOS.
  • A dispersionless BP flat mode emerges due to phonon-stringlet interactions.
  • Phonon-stringlet interactions lead to enhanced sound attenuation and a dip in sound speed near the BP frequency.
  • The model predicts qualitative trends for BP frequency and intensity consistent with observations.

Conclusions:

  • The theoretical model provides strong support for stringlet dynamics as the microscopic origin of the boson peak.
  • The findings reconcile theoretical predictions with recent simulation and experimental data.
  • This work offers a simplified theoretical framework for understanding anomalies in disordered solids.