Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-08-11
Europhys. Lett., 46(2), 224-230 (1999)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 two-column pages, 4 eps figures, Revtex, to be published in Europhys. Lett
Scientific paper
10.1209/epl/i1999-00248-2
We show by a numerical procedure that a short-range interaction $u$ induces extended two-particle states in a two-dimensional random potential. Our procedure treats the interaction as a perturbation and solve Dyson's equation exactly in the subspace of doubly occupied sites. We consider long bars of several widths and extract the macroscopic localization and correlation lengths by an scaling analysis of the renormalized decay length of the bars. For $u=1$, the critical disorder found is $W_{\rm c}=9.3\pm 0.2$, and the critical exponent $\nu=2.4\pm 0.5$. For two non-interacting particles we do not find any transition and the localization length is roughly half the one-particle value, as expected.
Cuevas Emilio
Ortuno Miguel
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