Two Interacting articles in a Two-Dimensional Random Potential

  • M. Ortuño
  • E. Cuevas
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 547)


The localization properties of two interacting particles in a two dimensional random potential are calculated by three different numerical procedures. These procedures focus on the nearest level spacing distribution, the inverse participation ratio of the states, and the two-particle decay length in long bars, respectively, and incorporate scaling techniques for the extrapolation of the data. Both short-range and long-range Coulomb interactions are considered. We always find a localized to extended states transition independently of the particle statistics and of the type of interaction. For low disorders, the interaction strongly mixes most unperturbed states, even those corresponding to electrons far apart.


Localization Length Unperturbed State Disorder Strength Critical Disorder Disorder Dependence 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • M. Ortuño
    • 1
  • E. Cuevas
    • 1
  1. 1.Departamento de FśicaUniversidad de MurciaMurciaSpain

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