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

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

Authors :
Silvio Franz
Giorgio Parisi
Thibaud Maimbourg
Antonello Scardicchio
Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS)
Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11)
Abdus Salam International Centre for Theoretical Physics [Trieste] (ICTP)
Center for Statistical Mechanics and Complexity, INFM Roma 'La Sapienza' and Dipartimento di Fisica
Università degli Studi di Roma 'La Sapienza' = Sapienza University [Rome]
Source :
Proceedings of the National Academy of Sciences of the United States of America, Proceedings of the National Academy of Sciences of the United States of America, National Academy of Sciences, 2019, 116 (28), pp.13768-13773. ⟨10.1073/pnas.1820360116⟩, Proceedings of the National Academy of Sciences
Publication Year :
2019
Publisher :
HAL CCSD, 2019.

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.<br />Comment: 7 pages + 38 pages SI, 5 figures

Details

Language :
English
ISSN :
00278424 and 10916490
Database :
OpenAIRE
Journal :
Proceedings of the National Academy of Sciences of the United States of America, Proceedings of the National Academy of Sciences of the United States of America, National Academy of Sciences, 2019, 116 (28), pp.13768-13773. ⟨10.1073/pnas.1820360116⟩, Proceedings of the National Academy of Sciences
Accession number :
edsair.doi.dedup.....f0737cfa1bae458f1cf94bf5b04b19cc
Full Text :
https://doi.org/10.1073/pnas.1820360116⟩