Zero-temperature glass transition in two dimensions

Ludovic Berthier (), Patrick Charbonneau, Andrea Ninarello, Misaki Ozawa and Sho Yaida
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Ludovic Berthier: University of Montpellier
Patrick Charbonneau: Duke University
Andrea Ninarello: UOS Sapienza
Misaki Ozawa: University of Montpellier
Sho Yaida: Facebook Inc.

Nature Communications, 2019, vol. 10, issue 1, 1-7

Abstract: Abstract Liquids cooled towards the glass transition temperature transform into amorphous solids that have a wide range of applications. While the nature of this transformation is understood rigorously in the mean-field limit of infinite spatial dimensions, the problem remains wide open in physical dimensions. Nontrivial finite-dimensional fluctuations are hard to control analytically, and experiments fail to provide conclusive evidence regarding the nature of the glass transition. Here, we develop Monte Carlo methods for two-dimensional glass-forming liquids that allow us to access equilibrium states at sufficiently low temperatures to directly probe the glass transition in a regime inaccessible to experiments. We find that the liquid state terminates at a thermodynamic glass transition which occurs at zero temperature and is associated with an entropy crisis and a diverging static correlation length. Our results thus demonstrate that a thermodynamic glass transition can occur in finite dimensional glass-formers.

Date: 2019
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DOI: 10.1038/s41467-019-09512-3

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