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The Anderson localization transition and eigenfunction multifractality in an ensemble of ultrametric random matrices
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Fyodorov, Yan V., Ossipov, Alexander and Rodriguez, Alberto (2009) The Anderson localization transition and eigenfunction multifractality in an ensemble of ultrametric random matrices. Journal of Statistical Mechanics: Theory and Experiment, Vol.2009 (December). Article no. L12001. doi:10.1088/1742-5468/2009/12/L12001 ISSN 1742-5468.
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Official URL: http://dx.doi.org/10.1088/1742-5468/2009/12/L12001
Abstract
We demonstrate that by considering disordered single-particle Hamiltonians (or their random matrix versions) on ultrametric spaces one can generate an interesting class of models exhibiting an Anderson metal-insulator transition. We use the weak disorder virial expansion to determine the critical value of the parameters and to calculate the values of the multifractal exponents for inverse participation ratios. Direct numerical simulations agree favourably with the analytical predictions.
Item Type: | Journal Article | ||||
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Subjects: | T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing | ||||
Journal or Publication Title: | Journal of Statistical Mechanics: Theory and Experiment | ||||
Publisher: | Institute of Physics Publishing Ltd. | ||||
ISSN: | 1742-5468 | ||||
Official Date: | December 2009 | ||||
Dates: |
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Volume: | Vol.2009 | ||||
Number: | December | ||||
Number of Pages: | 9 | ||||
Page Range: | Article no. L12001 | ||||
DOI: | 10.1088/1742-5468/2009/12/L12001 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Description: | Letter |
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Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Grant number: | EP/G055769/1 (EPSRC), EP/C007042/1 (EPSRC) |
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