We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

The article reviews recent developments in the theory of fluctuations and correlations of
energy levels and eigenfunction amplitudes in diffusive mesoscopic samples. Various …

The nearest-neighbor level spacing distribution is numerically investigated by directly
diagonalizing disordered Anderson Hamiltonians for systems of sizes up to 100× 100× 100 …

The Rosenzweig-Porter model has seen a resurgence in interest as it exhibits a nonergodic
extended phase between the ergodic extended metallic phase and the localized phase …

By randomly removing a fraction of levels from a given spectrum a model is constructed that
describes a crossover from this spectrum to a Poisson spectrum. The formalism is applied to …

We consider orthogonal, unitary, and symplectic ensembles of random matrices with (1/a)(ln
x) 2 potentials, which obey spectral statistics different from the Wigner-Dyson and are …

We use the semiclassical approach combined with the scaling results or the diffusion
coefficient to consider the two-level correlation function R (ɛ) for a disordered electron …

In this study, we examine the statistics of level spectra in a noninteracting electron gas
confined to a Sierpiński carpet lattice. These lattices are constructed using two types of the …

We present a no fitting method for the numerical treatment of second-order phase transitions
using the level-spacing distribution function P (s). The position of the metal-insulator …

The Anderson transition in a 3D system with symplectic symmetry is investigated
numerically. From a one-parameter scaling analysis the critical exponent ν of the localization …