"Multifractality at conventional and unconventional quantum Hall transition"


abstract: The talk will present an overview about recent developments in the field of disordered (noninteracting) electron systems with an

emphasis on multifractality of critical states. In particular, we begin by giving a broad introduction into the modern classification of disordered metals. Thereafter, we shall review a recently discovered "reciprocity relation" valid for anomalous dimensions in the Wigner-Dyson universality classes and give applications to the power law random banded matrix model. Finally, we explain latest results on multifractality in the presence of surfaces.