title: Growing timescales and lengthscales characterizing vibrations of amorphous solids.
abstract: Low-temperature properties of crystalline solids can be understood using harmonic perturbations around a perfect lattice, as in Debye's theory. Low-temperature properties of amorphous solids, however, strongly depart from such descriptions, displaying enhanced transport, activated slow dynamics across energy barriers, excess vibrational modes with respect to Debye's theory (i.e., a boson peak), and complex irreversible responses to small mechanical deformations. These experimental observations indirectly suggest that the dynamics of amorphous solids becomes anomalous at low temperatures. Here, we present direct numerical evidence that vibrations change nature at a well-defined location deep inside the glass phase of a simple glass former. We provide a real-space description of this transition and of the rapidly growing time- and lengthscales that accompany it. Our results provide the seed for a universal understanding of low-temperature glass anomalies within the theoretical framework of the recently discovered Gardner phase transition.
authors.affiliation: Laboratoire Charles Coulomb, UMR 5221, Université de Montpellier and CNRS, 34095 Montpellier, France;
authors.forename: Ludovic
authors.initials: L
authors.lastname: Berthier
authors.affiliation: Department of Chemistry, Duke University, Durham, NC 27708; Department of Physics, Duke University, Durham, NC 27708;
authors.forename: Patrick
authors.initials: P
authors.lastname: Charbonneau
authors.affiliation: Department of Chemistry, Duke University, Durham, NC 27708; Dipartimento di Fisica, Sapienza Universitá di Roma, Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Istituto per i Processi Chimico-Fisici-Consiglio Nazionale delle Ricerche, I-00185 Rome, Italy; Laboratoire de Physique Théorique, École Normale Supérieure & Université de Recherche Paris Sciences et Lettres, Pierre et Marie Curie & Sorbonne Universités, UMR 8549 CNRS, 75005 Paris, France, jinyuliang@gmail.com giorgio.parisi@roma1.infn.it beatriz.seoane.bartolome@lpt.ens.fr.
authors.forename: Yuliang
authors.initials: Y
authors.lastname: Jin
authors.affiliation: Dipartimento di Fisica, Sapienza Universitá di Roma, Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Istituto per i Processi Chimico-Fisici-Consiglio Nazionale delle Ricerche, I-00185 Rome, Italy; jinyuliang@gmail.com giorgio.parisi@roma1.infn.it beatriz.seoane.bartolome@lpt.ens.fr.
authors.forename: Giorgio
authors.initials: G
authors.lastname: Parisi
authors.affiliation: Laboratoire de Physique Théorique, École Normale Supérieure & Université de Recherche Paris Sciences et Lettres, Pierre et Marie Curie & Sorbonne Universités, UMR 8549 CNRS, 75005 Paris, France, Instituto de Biocomputación y Física de Sistemas Complejos, 50009 Zaragoza, Spain jinyuliang@gmail.com giorgio.parisi@roma1.infn.it beatriz.seoane.bartolome@lpt.ens.fr.
authors.forename: Beatriz
authors.identifier: 0000-0003-4007-9406
authors.initials: B
authors.lastname: Seoane
authors.affiliation: Laboratoire de Physique Théorique, École Normale Supérieure & Université de Recherche Paris Sciences et Lettres, Pierre et Marie Curie & Sorbonne Universités, UMR 8549 CNRS, 75005 Paris, France.
authors.forename: Francesco
authors.initials: F
authors.lastname: Zamponi
keywords: Gardner transition; computer simulations; disordered solids; glass transition; hard spheres