REAL-SPACE QUANTUM RENORMALIZATION-GROUP AND ANDERSON LOCALIZATION

We discuss the application of a quantum real-space renormalization-gro up approach to the Anderson-localization problem. States obtained by a pplying combinations of fixed and free boundary conditions to the syst em are used as a truncated basis at each iteration. We discuss the pro blem of intruder states, which occurs when the renormalization-group p rocedure is used to find states at the center of the band; we also dis cuss some possible solutions. We present numerical results for the con ductance, the localization length, and the scaling function for the An derson-localization problem in one dimension.