Anisotropic tight-binding model for localization

摘要: The anisotropic tight-binding model, which is defined by a disordered Hamiltonian with transfer-energy-matrix element in the z direction, t, different than one x-y plane studied using finite-size scaling methods. dependence of mobility edge on strength anisotropy t (0\ensuremath{\le}t\ensuremath{\le}1) obtained for center band, E=0. Even very low-t values an appreciable amount disorder needed to localize E=0 state. These results are found be satisfactory agreement predictions potential-well analogy, coupled coherent-potential approximation.