SCALING IN INTERACTION-ASSISTED COHERENT TRANSPORT

The pair localization length L(2) of two interacting electrons in one- dimensional disordered systems is studied numerically. Using two direc t approaches, we find L(2) alpha L(1)(a)lpha, where L(1), is the one-e lectron localization length and alpha approximate to 1.65. This demons trates the enhancement effect proposed by Shepelyansky, but the value of alpha differs from previous estimates (alpha = 2) in the disorder r ange considered. We explain this discrepancy using a scaling picture r ecently introduced by Imry and taking into account a more accurate dis tribution than previously assumed for the overlap of one-electron wave functions.