Wave function multifractality at Anderson transitions
Seminar Room 2, Newton Institute Gatehouse
Statistical properties of wave functions in disordered systems will be reviewed. The main emphasis will be put on multifractality of wave functions at Anderson localisation transitions (including quantum-Hall-type transitions). The systems to be discussed include: conventional Anderson transition in various dimensionalities, power-law random banded matrix model (1D system with long-range hopping at criticality), and 2D critical points. Both analytical and numerical results will be presented.