{
  "id": "1811.11719",
  "version": "v1",
  "published": "2018-11-28T18:13:53.000Z",
  "updated": "2018-11-28T18:13:53.000Z",
  "title": "Low-temperature anomalies in structural glasses: impact of jamming criticality",
  "authors": [
    "Silvio Franz",
    "Thibaud Maimbourg",
    "Giorgio Parisi",
    "Antonello Scardicchio"
  ],
  "comment": "6 pages + 38 pages SI, 5 figures. Comments welcome",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-28T18:13:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "low-temperature anomalies",
      "structural glasses",
      "jamming criticality",
      "crossover temperature",
      "specific heat scales"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}