Scaling in Interaction-Assisted Coherent Transport

Details Scaling in Interaction-Assisted Coherent Transport Scaling in Interaction-Assisted Coherent Transport

1995-03-09

arxiv.org/abs/cond-mat/9503052v1

Physics

Condensed Matter

4 pages, revtex, four figures available on request from amg@amoco.saclay.cea.fr

Scientific paper

10.1209/0295-5075/31/3/008

The pair localization length $L_2$ of two interacting electrons in one--dimensional disordered systems is studied numerically. Using two direct approaches, we find $L_2 \propto L_1^{\alpha}$, where $L_1$ is the one-electron localization length and $\alpha \approx 1.65$. 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 wavefunctions.

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