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No enhancement of the localization length for two interacting particles in a random potential

Rudolf A. R"omer·Michael Schreiber
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Abstract

We study two interacting particles in a random potential chain by means of the transfer matrix method. The dependence of the two-particle localization length $λ_2$ on disorder and interaction strength is investigated. Our results demonstrate that the recently proposed enhancement of $λ_2$ as compared to the results for single particles is entirely due to the finite size of the systems considered. This is shown for a Hubbard-like onsite interaction and also a long-range interaction.

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Rudolf A. R"omer, Michael Schreiber. 1996-12-03. No enhancement of the localization length for two interacting particles in a random potential. https://arxiv.org/abs/cond-mat/9612034

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