Critical statistics in a power-law random-banded matrix ensemble

We investigate the statistical properties of the eigenvalues and eigenvecto rs in a random matrix ensemble with H(ij)similar to\i-j\(-mu). It is known that this model shows a localization-delocalization transition (LDT) as a f unction of the parameter mu. The model is critical at mu=1 and the eigensta tes are multifractals. Based on numerical simulations we demonstrate that t he spectral statistics at criticality differs from semi-Poisson statistics which is expected to be a general feature of systems exhibiting a LDT or "w eak chaos.".