SciPost Submission Page
A localization transition underlies the mode-coupling crossover of glasses
by Daniele Coslovich, Andrea Ninarello, Ludovic Berthier
|As Contributors:||Daniele Coslovich|
|Submitted by:||Coslovich, Daniele|
|Submitted to:||SciPost Physics|
|Subject area:||Statistical and Soft Matter Physics|
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 previous conflicting numerical results and provides a characteristic temperature for glassy dynamics that unambiguously locates the mode-coupling crossover.