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

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

1996-12-03

arxiv.org/abs/cond-mat/9612034v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 RevTeX 3.0 pages with 3 EPS figures included via psfig, to appear in Phys. Rev. Lett

Scientific paper

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 $\lambda_2$ on disorder and interaction strength is investigated. Our results demonstrate that the recently proposed enhancement of $\lambda_2$ 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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