The spatial behaviour of electronic wave functions at the metal-insulator transition in disordered systems is investigated with respect to the multifractal properties. The singularity spectrum and the generalized dimensions at the critical disorder in the band centre are determined. It is shown...

The wave functions of the non-interacting electrons in disordered systems described by a tight-binding model with site-diagonal disorder are investigated by means of the inverse participation ratio. The wave functions are shown to be fractal objects. In three-dimensional samples, a critical...