%0 Journal Article %A Malyshev, Andrey %A Domínguez-Adame Acosta, Francisco %T Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction %D 2004 %@ 1098-0121 %U https://hdl.handle.net/20.500.14352/51256 %X We consider a two-parameter one-dimensional Hamiltonian with uncorrelated diagonal disorder and nonrandom long-range intersite interaction J(mn)=J/\m-n\(mu). The model is critical at 1<mu<3/2 and reveals the localization-delocalization transition with respect to the disorder magnitude. To detect the transition we analyze level and wave function statistics. It is demonstrated also that in the marginal case (mu=3/2) all states are localized. %~