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Anderson universality in a model of disordered phonons
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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 ISSN 0295-5075.
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WRAP_Roemer_1107.5936v2.pdf - Submitted Version Download (381Kb) |
Official URL: http://dx.doi.org/10.1209/0295-5075/97/16007
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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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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) |
Data sourced from Thomson Reuters' Web of Knowledge
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