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Localization–delocalization transition for disordered cubic harmonic lattices
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Pinski, S. D., Schirmacher, W., Whall, Terry E. and Römer, Rudolf A. (2012) Localization–delocalization transition for disordered cubic harmonic lattices. Journal of Physics: Condensed Matter, Vol.24 (No.40). Article no. 405401. doi:10.1088/0953-8984/24/40/405401 ISSN 0953-8984.
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Official URL: http://dx.doi.org/10.1088/0953-8984/24/40/405401
Abstract
We study numerically the disorder-induced localization-delocalization phase transitions that occur for mass and spring constant disorder in a three-dimensional cubic lattice with harmonic couplings. We show that, while the phase diagrams exhibit regions of stable and unstable waves, the universality of the transitions is the same for mass and spring constant disorder throughout all the phase boundaries. The combined value for the critical exponent of the localization lengths of ν = 1:550 +0.020 -0.017 confirms the agreement with the universality class of the standard electronic Anderson model of localization. We further support our investigation with studies of the density of states, the participation numbers and wave function statistics. © 2012 IOP Publishing Ltd
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) | ||||
Journal or Publication Title: | Journal of Physics: Condensed Matter | ||||
Publisher: | Institute of Physics Publishing Ltd. | ||||
ISSN: | 0953-8984 | ||||
Official Date: | 10 October 2012 | ||||
Dates: |
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Volume: | Vol.24 | ||||
Number: | No.40 | ||||
Page Range: | Article no. 405401 | ||||
DOI: | 10.1088/0953-8984/24/40/405401 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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