Veranstaltungsdetails

20.12.2011, 17:00
Jungiusstr. 11, Hörsaal AP

SFB 668 - Kolloquium

Prof. Dr. Alexander Ossipow (University of Nottingham):

Critical eigenstates of the long-range random Hamiltonians

Critical random matrices provide an efficient tool to study the Anderson metal-insulator transition. Their eigenstates are characterised by non-trivial multifractality spectra. We calculate multifractal dimensions for the ultrametric and the power-law random matrix models analytically in the limits of strong and weak multifractality. Using these results we discuss various properties of the critical eigenstates. Among them are universal and non-universal features of the multifractality spectrum, the Chalker's ansatz for dynamical scaling, absence of multifractality in a two-dimensional critical system with random long-range hopping.