Impact of jamming criticality on low-temperature anomalies in structural glasses

Silvio Franz; Thibaud Maimbourg; Giorgio Parisi; Antonello Scardicchio

doi:10.1073/pnas.1820360116

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arXiv · 1811.11719

Impact of jamming criticality on low-temperature anomalies in structural glasses

Silvio Franz·Thibaud Maimbourg·Giorgio Parisi·Antonello Scardicchio

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Abstract

We present a novel mechanism for the anomalous behaviour of the specific heat in low-temperature amorphous solids. The analytic solution of a mean-field model belonging to the same universality class as high-dimensional glasses, the spherical perceptron, suggests that there exists a crossover temperature above which the specific heat scales linearly with temperature while below it a cubic scaling is displayed. This relies on two crucial features of the phase diagram: (i) The marginal stability of the free-energy landscape, which induces a gapless phase responsible for the emergence of a power-law scaling (ii) The vicinity of the classical jamming critical point, as the crossover temperature gets lowered when approaching it. This scenario arises from a direct study of the thermodynamics of the system in the quantum regime, where we show that, contrary to crystals, the Debye approximation does not hold.

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Silvio Franz, Thibaud Maimbourg, Giorgio Parisi, Antonello Scardicchio. 2018-11-28. Impact of jamming criticality on low-temperature anomalies in structural glasses. https://doi.org/10.1073/pnas.1820360116

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