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

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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
Subjects:	T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics
Divisions:	Faculty of 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:	Date Event December 2009 Published
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
Funder:	Engineering and Physical Sciences Research Council (EPSRC)
Grant number:	EP/G055769/1 (EPSRC), EP/C007042/1 (EPSRC)

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