The combined influence of disorder and interactions on the transport properties of electrons in one dimension is investigated. The numerical simulations are carried out by means of the Hartree–Fock-based diagonalization, a very efficient method to determine the low-energy properties of a...

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...

We study statistical properties of energy spectra of a tight-binding model on the two-dimensional quasiperiodic Ammann–Beenker tiling. Taking into account the symmetries of finite approximants, we find that the underlying universal level-spacing distribution is given by the Gaussian orthogonal...

Using a numerical decimation method, we compute the localisation length λ2 for two onsite interacting particles (TIP) in a one-dimensional random potential. We show that an interaction U0 does lead to λ2(U)λ2(0) for not too large U and test the validity of various proposed fit functions for...