Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-06-29
in Excitonic Processes in Condensed Matter, R. T. Williams and W. M. Yen, Editors, PV 98-25, p. 349-354, The Electrochemical S
Physics
Condensed Matter
Disordered Systems and Neural Networks
15 RevTeX 3.0 pages with 7 EPS-figures included
Scientific paper
We study the formation of electron-hole pairs for disordered systems in the limit of weak electron-hole interactions. We find that both attractive and repulsive interactions lead to electron-hole pair states with large localization length $\lambda_{2}$ even when we are in this non-excitonic limit. Using a numerical decimation method to calculate the decay of the Green function along the diagonal of finite samples, we investigate the dependence of $\lambda_2(U)$ on disorder, interaction strength $U$ and system size. Infinite sample size estimates $\xi_{2}(U)$ are obtained by finite-size scaling. The results show a great similarity to the problem of two interacting electrons in the same random one-dimensional potential.
Leadbeater Mark
R{ö}mer Rudolf A.
Schreiber Michael
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