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Two interacting particles in a random potential

We study the scaling of the localization length of two interacting particles in a one-dimensional random lattice with the single particle localization length. We obtain several regimes, among them one interesting weak Fock space disorder regime. In this regime we derive a weak logarithmic scaling law. Numerical data support the absence of any strong enhancement of the two particle localization length.

preprint2011arXivOpen access
Dmitry O. KrimerRamaz KhomerikiSergej Flach
nlin.CDcond-mat.dis-nnquant-ph
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Dmitry O. KrimerRamaz KhomerikiSergej Flach

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