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

1996/12/03 by Rudolf A. R"omer, R"omer, Rudolf A., Michael Schreiber +1
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #cond-mat.dis-nn

paper · pdf · doi:10.48550/arxiv.cond-mat/9612034

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

arxiv created 1996/12/03 · arxiv updated 2009/11/30

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 λ₂ on disorder and interaction strength is investigated. Our results demonstrate that the recently proposed enhancement of λ₂ 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.

Related

• Interactions and localization: two interacting particles approach
• Localization parameters for two interacting particles in disordered two-dimensional lattices
• Comprehensive proofs of localization in Anderson models with interaction. I. Two-particle localization estimates
• Localization Length from Single-Particle Properties in Disordered Electronic Systems
• Disorder and Interactions on a 1D Chain