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Interaction-induced delocalization of two particles in a random potential: Scaling properties | | Felix von Oppen
; Tilo Wettig
; Jochen Müller
; | | Date: |
5 Apr 1995 | | Subject: | cond-mat | | Abstract: | The localization length $xi_2$ for coherent propagation of two interacting particles in a random potential is studied using a novel and efficient numerical method. We find that the enhancement of $xi_2$ over the one-particle localization length $xi_1$ satisfies the scaling relation $xi_2/xi_1=f(u/Delta_xi)$, where $u$ is the interaction strength and $Delta_{xi}$ the level spacing of a wire of length $xi_1$. The scaling function $f$ is linear over the investigated parameter range. This implies that $xi_2$ increases faster with $u$ than previously predicted. We also study a novel mapping of the problem to a banded-random-matrix model. | | Source: | arXiv, cond-mat/9504016 | | Services: | Forum | Review | PDF | Favorites | |
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