Statistical properties of eigenstates in three-dimensional mesoscopic systems with off-diagonal or diagonal disorder

摘要

The statistics of eigenfunction amplitudes are studied in mesoscopicdisordered electron systems of finite size. The exact eigenspectrum andeigenstates are obtained by solving numerically Anderson Hamiltonian on athree-dimensional lattice for different strengths of disorder introduced eitherin the potential on-site energy (``diagonal'') or in the hopping integral(``off-diagonal''). The samples are characterized by the exact zero-temperatureconductance computed using real-space Green function technique and relatedLandauer-type formula. The comparison of eigenstate statistics in two models ofdisorder shows sample-specific details which are not fully taken into accountby the conductance, shape of the sample and dimensionality. The wave functionamplitude distributions for the states belonging to different transport regimeswithin the same model are contrasted with each other as well as with universalpredictions of random matrix theory valid in the infinite conductance limit.