Statistical properties of eigenstates in three-dimensional mesoscopic systems with off-diagonal or diagonal disorder - art. no. 014203

The statistics of eigenfunction amplitudes are studied in mesoscopic disord ered electron systems of finite size. The exact eigenspectrum and eigenstat es are obtained by solving numerically Anderson Hamiltonian on a three-dime nsional lattice fur different strengths of disorder introduced either in th e potential on-site energy ("diagonal") or in the hopping integral ("off-di agonal"). The samples are characterized by the exact zero-temperature condu ctance computed using real-space Green function technique and related Landa uer-type formula. The comparison of eigenstate statistics in two models of disorder shows sample-specific details which are not fully taken into accou nt by the conductance, shape of the sample, and dimensionality. The wave fu nction amplitude distributions for the states belonging to different transp ort regimes within the same model are contrasted with each other as well as with universal predictions of random matrix theory valid in the infinite c onductance limit.