Multifractality in model systems for quantum Hall critical points
The talk gives an overview about recent developments in the classification of quantum Hall critical points in terms of multifractal spectra. We will begin by reviewing results for multifractality at the integer quantum Hall transition. Thereafter,we shall address quantum Hall physics in superconducting systems of the symmetry class D. Our focus will be on the fermionic representation of the random bond Ising model, which belongs to this symmetry class. We will also discuss the Cho-Fisher model, a close relative of this system, where an unusual scaling of the distribution function of the inverse participation ratio may indicate the presence of strong disorder physics.