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.