title: Anomalous phonon scattering and elastic correlations in amorphous solids.
abstract: A major issue in materials science is why glasses present low-temperature thermal and vibrational properties that sharply differ from those of crystals. In particular, long-wavelength phonons are considerably more damped in glasses, yet it remains unclear how structural disorder at atomic scales affects such a macroscopic phenomenon. A plausible explanation is that phonons are scattered by local elastic heterogeneities that are essentially uncorrelated in space, a scenario known as Rayleigh scattering, which predicts that the damping of acoustic phonons scales with wavenumber k as kd+1(in dimension d). Here we demonstrate that phonon damping scales instead as - kd+1ln k, with this logarithmic enhancement originating from long-range spatial correlations of elastic disorder caused by similar stress correlations. Our work suggests that the presence of long-range spatial correlations of local stress and elasticity may well be the crucial feature that distinguishes amorphous solids from crystals.
authors: NAVIER, UMR 8205, École des Ponts, IFSTTAR, CNRS, UPE, 77420 Champs-sur-Marne, France.|Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan.
authors: Simon
authors: S
authors: Gelin
authors: Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan.
authors: Hajime
authors: H
authors: Tanaka
authors: NAVIER, UMR 8205, École des Ponts, IFSTTAR, CNRS, UPE, 77420 Champs-sur-Marne, France.
authors: Anaël
authors: 0000-0002-6865-9245
authors: A
authors: Lemaître