Malyshev, AndreyDomínguez-Adame Acosta, Francisco2023-06-202023-06-202004-111098-012110.1103/PhysRevB.70.172202https://hdl.handle.net/20.500.14352/51256© 2004 The American Physical Society. The authors thank A. Rodríguez, M. A. Martín-Delgado, and G. Sierra for discussions. This work was supported by DGI-MCyT (MAT2003-01533) and MECyD (SB2001 -0146)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.engjournal articlehttp://dx.doi.org/10.1103/PhysRevB.70.172202http://dx.doi.orgopen access538.9Inverse Participation RatioMetal-Insulator-TransitionDisordered-SystemsAnderson TransitionProbability-DistributionsQuantum DiffusionScaling TheoryWave-FunctionsFluctuationsAbsenceFísica de materiales