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 direct approaches, we find L(2) alpha L(1)(a)lpha, where L(1), is the one-electron localization length and alpha approximate to 1.65. This demonstrates the enhancement effect proposed by Shepelyansky, but the value of alpha differs from previous estimates (alpha = 2) in the disorder range considered. We explain this discrepancy using a scaling picture recently introduced by Imry and taking into account a more accurate distribution than previously assumed for the overlap of one-electron wave functions.