Quantum Hall effects in normal and superconducting systems: localization and multifractality

Abstract

We study quantum phases and localization–delocalization transitions between these phases in three types of quantum Hall effects. These include the conventional integer quantum Hall effect, as well as its counterparts taking place in super- conducting systems: spin quantum Hall effect and thermal quantum Hall effect. A particular emphasis is put on multifractal behavior of wave functions at criticality. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)