Interaction-induced delocalization of two particles in a random potential: Scaling properties

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.

5 pages and two figures in a uuencoded, compressed tar file; uses revtex and psfig.sty (included); substantial revision of a previous version of the paper including newly discovered scaling behavior

References in corpus (4)

• Scaling Theory of the Integer Quantum Hall Effect
• Scaling in Interaction-Assisted Coherent Transport
• $h/2e$--Oscillations for Correlated Electron Pairs in Disordered Mesoscopic Rings
• Enhancement of localization length for two interacting kicked rotators

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