Anderson localization in Hubbard ladders

The effect of a weak random potential on two-leg Hubbard ladders is investi gated. The random potential is shown to induce Anderson localization except for attractive enough interactions, suppressing completely d-wave supercon ductivity. These localization effects remain very strong even for many ladd ers coupled by Josephson coupling. Both DC and AC conductivities and locali zation lengths are obtained. Consequences for the superconducting ladder co mpound SrxCa14-xCu24O41+delta are discussed. (C) 1999 Elsevier Science B.V. All rights reserved.