| Issue |
EPL
Volume 97, Number 1, February 2012
|
|
|---|---|---|
| Article Number | 16007 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/97/16007 | |
| Published online | 03 January 2012 | |
Anderson universality in a model of disordered phonons
1
Department of Physics and Centre for Scientific Computing, University of Warwick Coventry, CV4 7AL, UK, EU
2
Dipartimento di Fisica, Universitá di Roma “La Sapienza” - I-00185, Roma, Italy, EU
3
Institut für Physik, Universität Mainz - D-55099 Mainz, Germany, EU
Received:
30
August
2011
Accepted:
23
November
2011
We consider the localisation properties of a lattice of coupled masses and springs with random mass and spring constant values. We establish the full phase diagrams of the system for pure mass and pure spring disorder. The phase diagrams exhibit regions of stable as well as unstable wave modes. The latter are of interest for the instantaneous-normal-mode spectra of liquids and the nascent field of acoustic metamaterials. We show the existence of delocalisation-localisation transitions throughout the phase diagram and establish, by high-precision numerical studies, that the universality of these transitions is of the Anderson type.
PACS: 63.20.D- – Phonon states and bands, normal modes, and phonon dispersion / 63.20.Pw – Localized modes / 63.50.-x – Vibrational states in disordered systems
© EPLA, 2012
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.