title: Universal Non-Debye Scaling in the Density of States of Amorphous Solids.
abstract: At the jamming transition, amorphous packings are known to display anomalous vibrational modes with a density of states (DOS) that remains constant at low frequency. The scaling of the DOS at higher packing fractions remains, however, unclear. One might expect to find a simple Debye scaling, but recent results from effective medium theory and the exact solution of mean-field models both predict an anomalous, non-Debye scaling. Being mean-field in nature, however, these solutions are only strictly valid in the limit of infinite spatial dimension, and it is unclear what value they have for finite-dimensional systems. Here, we study packings of soft spheres in dimensions 3 through 7 and find, away from jamming, a universal non-Debye scaling of the DOS that is consistent with the mean-field predictions. We also consider how the soft mode participation ratio evolves as dimension increases.
authors: Department of Chemistry, Duke University, Durham, North Carolina 27708, USA.|Department of Physics, Duke University, Durham, North Carolina 27708, USA.
authors: Patrick
authors: P
authors: Charbonneau
authors: Department of Physics, University of Oregon, Eugene, Oregon 97403, USA.
authors: Eric I
authors: EI
authors: Corwin
authors: Dipartimento di Fisica, Sapienza Università di Roma, INFN, Sezione di Roma I, IPFC-CNR, Piazzale Aldo Moro 2, I-00185 Roma, Italy.
authors: Giorgio
authors: G
authors: Parisi
authors: Department of Physics, University of Oregon, Eugene, Oregon 97403, USA.|Département de Physique, École Normale Supérieure, 24 Rue Lhomond, 75005 Paris, France.
authors: Alexis
authors: A
authors: Poncet
authors: Laboratoire de Physique Théorique, ENS & PSL University, UPMC & Sorbonne Universités, UMR 8549 CNRS, 75005 Paris, France.
authors: Francesco
authors: F
authors: Zamponi