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arXiv · 1811.03171

A localization transition underlies the mode-coupling crossover of glasses

Daniele Coslovich·Andrea Ninarello·Ludovic Berthier
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Abstract

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.

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Daniele Coslovich, Andrea Ninarello, Ludovic Berthier. 2018-11-07. A localization transition underlies the mode-coupling crossover of glasses. https://doi.org/10.21468/scipostphys.7.6.077

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