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Universal multifractal behaviour for phonons and electrons at the Anderson transition
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Pinski, Sebastian, Rodriguez, Alberto, Schirmacher, Walter and Römer, Rudolf A. (2012) Universal multifractal behaviour for phonons and electrons at the Anderson transition. In: PHONONS 2012 : XIV International Conference on Phonon Scattering in Condensed Matter, Ann Arbor, MI USA, 8-12 Jul 2012 . Published in: AIP Proceedings, Volume 1506, 62 (Number 62). pp. 62-67. doi:10.1063/1.4772527 ISSN 0094-243X.
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Official URL: http://dx.doi.org/10.1063/1.4772527
Abstract
We compare the properties of the multifractal singularity spectrum for both electron and phonon Anderson localization-delocalization transitions. The singularity spectrum for phonons is numerically obtained for continuous mass or spring constant disorder with distribution widths Δm = 1.2 and Δk = 10 at critical frequencies ω2 c = 12.681 k / m and ω2 c = 19.75 k / m , respectively. The spectra are compared to the numerically obtained electronic potential disordered metalinsulator transition at energy E = 0. We see that the spectra are in good agreement and as in all cases the critical exponents characterising the transitions are the same within error, and conclude that these models exhibit the same critical properties and are of the same orthogonal universality class.
Item Type: | Conference Item (Paper) | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
Journal or Publication Title: | AIP Proceedings | ||||
Publisher: | AIP | ||||
ISSN: | 0094-243X | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Volume 1506, 62 | ||||
Number: | Number 62 | ||||
Page Range: | pp. 62-67 | ||||
DOI: | 10.1063/1.4772527 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | PHONONS 2012 : XIV International Conference on Phonon Scattering in Condensed Matter | ||||
Type of Event: | Conference | ||||
Location of Event: | Ann Arbor, MI USA | ||||
Date(s) of Event: | 8-12 Jul 2012 |
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