%0 Journal Article
%T A localization transition underlies the mode-coupling crossover of glasses
%+ Laboratoire Charles Coulomb (L2C)
%A Coslovich, Daniele
%A Ninarello, Andrea Saverio
%A Berthier, Ludovic
%< avec comité de lecture
%Z L2C:19-276
%@ 2542-4653
%J SciPost Physics
%I SciPost Foundation
%P 77
%8 2019
%D 2019
%Z 1811.03171
%R 10.21468/SciPostPhys.7.6.077
%Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]
%Z Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-02445176/document
%2 https://hal.science/hal-02445176/file/SciPostPhys_7_6_077.pdf
%L hal-02445176
%U https://hal.science/hal-02445176
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021