A recently suggested modification of the g-index is analysed in order to take multiple coauthorship appropriately into account. By fractionalised counting of the papers one can obtain an appropriate measure which I call gm-index. Two fictitious examples for model cases and two empirical cases...

The definition of the g-index is as arbitrary as that of the h-index, because the threshold number g2 of citations to the g most cited papers can be modified by a prefactor at one's discretion, thus taking into account more or less of the highly cited publications within a dataset. In a case...

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...

A new percentile-based rating scale P100 has recently been proposed to describe the citation impact in terms of the distribution of the unique citation values. Here I investigate P100 for 5 example datasets, two simple fictitious models and three larger empirical samples. Counterintuitive...

The Hartree-Fock based diagonalization (HFD) is a computational method for the investigation of the low-energy properties of correlated electrons in disordered solids. The method is related to the quantum-chemical configuration interaction approach. It consists of diagonalizing the Hamiltonian...

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...

The arbitrariness of the h-index becomes evident, when one requires q×h instead of h citations as the threshold for the definition of the index, thus changing the size of the core of the most influential publications of a dataset. I analyze the citation records of 26 physicists in order to...