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Formation of electron-hole pairs in a one-dimensional random environment

Mark Leadbeater·Rudolf A. Romer·Michael Schreiber
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Abstract

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 $λ_{2}$ 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 $λ_2(U)$ on disorder, interaction strength $U$ and system size. Infinite sample size estimates $ξ_{2}(U)$ 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.

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Mark Leadbeater, Rudolf A. Romer, Michael Schreiber. 1998-06-29. Formation of electron-hole pairs in a one-dimensional random environment. https://arxiv.org/abs/cond-mat/9806350

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