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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Critical properties of the long-range random model
 s - Ossipov\, A (University of Nottingham)
DTSTART;TZID=Europe/London:20120918T170000
DTEND;TZID=Europe/London:20120918T174000
UID:TALK39849AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/39849
DESCRIPTION:In this talk we consider random matrix ensembles a
 nd non-linear sigma models characterized by a long
 -range random hopping. At criticality\, eigenstate
 s of such systems are multifractal and the corresp
 onding multifractal dimensions can be calculated a
 nalytically in the limit of strong or weak multifr
 actality. Using explicit results for the multifrac
 tal dimensions and the level number variance\, we 
 discuss critical properties of various models. Amo
 ng them are universal and non-universal features o
 f the multifractality spectrum and unusual critica
 l behavior of the two-dimensional power-law random
  matrix model.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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