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Level Statistics And Localization For Two Interacting Particles In A Random Potential

PHYSICAL REVIEW LETTERS, no. 8 (1996): 1556-1559

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academic.microsoft.com pubmed.ncbi.nlm.nih.gov arxiv.org

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spectrum

Abstract

We describe the level statistics of two interacting particles in a disordered conductor by a Gaussian matrix ensemble with preferential basis. This simplified model allows us to identify the energy scale E(U) below which the spectrum exhibits the universal Wigner-Dyson rigidity. E(U) proportional to \U\, when a small interaction \U\ yield...More

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Dietmar Weinmann

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Jean-Louis Pichard

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