Anderson universality in a model of disordered phonons

Details Anderson universality in a model of disordered phonons Anderson universality in a model of disordered phonons

2011-07-29

arxiv.org/abs/1107.5936v2

EPL 97, 16007-6 (2012)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 2 figures, 1 table

Scientific paper

10.1209/0295-5075/97/16007

We consider the localization 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 delocalization-localization transitions throughout the phase diagram and establish, by high-precision numerical studies, that the universality of these transitions is of the Anderson type.

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