The boson peak arises from accumulation of vibrational spectral weight in a narrow frequency window that is only weakly dependent on wavevector, manifesting as a flat band in the dynamical structure factor rather than a propagating excitation.
Phonons as Goldstone Bosons
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
The implications of the hidden, spontaneously broken symmetry for the properties of the sound waves of a solid are analyzed. Although the discussion does not go beyond standard wisdom, it presents some of the known results from a different perspective. In particular, I argue that, as a consequence of the hidden symmetry, the equations of motion for a sound wave necessarily contain nonlinear terms, describing phonon-phonon scattering and emphasize the analogy with the low energy theorems for pion-pion scattering.
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cond-mat.soft 1years
2025 1verdicts
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A flat-band perspective on the boson peak in amorphous solids
The boson peak arises from accumulation of vibrational spectral weight in a narrow frequency window that is only weakly dependent on wavevector, manifesting as a flat band in the dynamical structure factor rather than a propagating excitation.