A localization transition underlies the mode-coupling crossover of glasses Auteur(s): Coslovich D., Ninarello A. S., Berthier L. (Article) Publié: Scipost Physics, vol. p.77 (2019) Texte intégral en Openaccess : Ref HAL: hal-02445176_v1 Ref Arxiv: 1811.03171 DOI: 10.21468/SciPostPhys.7.6.077 WoS: 000505803200006 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 4 Citations Résumé: We study the equilibrium statistical properties of the potential energy landscape of several glass models in a temperature regime so far inaccessible to computer simulations. We show that unstable modes of the stationary points undergo a localization transition in real space close to the mode-coupling crossover temperature determined from the dynamics. The concentration of localized unstable modes found at low temperature is a non-universal, finite dimensional feature not captured by mean-field glass theory. Our analysis reconciles, and considerably expands, previous conflicting numerical results and provides a characteristic temperature for glassy dynamics that unambiguously locates the mode-coupling crossover. |