Pinski, Sebastian, Schirmacher, W. and Roemer, Rudolf A. (2012) Anderson universality in a model of disordered phonons. EPL (Europhysics Letters), Vol.97 (No.1). p. 16007. doi:10.1209/0295-5075/97/16007

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Abstract

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.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Order-disorder models, Phonons -- Mathematical models
Journal or Publication Title:	EPL (Europhysics Letters)
Publisher:	Institute of Physics Publishing Ltd.
ISSN:	0295-5075
Official Date:	January 2012
Dates:	Date Event January 2012 Published
Volume:	Vol.97
Number:	No.1
Page Range:	p. 16007
DOI:	10.1209/0295-5075/97/16007
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Engineering and Physical Sciences Research Council (EPSRC), European Commission (EC)
Grant number:	EP-F040784-1 (EPSRC)

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