期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：2019
卷号：116
期号：28
页码：13768-13773
DOI：10.1073/pnas.1820360116
出版社：The National Academy of Sciences of the United States of America
摘要：We present a mechanism for the anomalous behavior 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 cross-over 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; and ( ii ) the vicinity of the classical jamming critical point, as the cross-over 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.
关键词：low-temperature glasses ; jamming ; marginal stability ; Debye model
