Statistical Properties of The First Excited State of an Interacting Many Particle Disordered System

Details Statistical Properties of The First Excited State of an Interacting Many Particle Disordered System Statistical Properties of The First Excited State of an Interacting Many Particle Disordered System

2003-04-10

arxiv.org/abs/cond-mat/0304245v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 5 figures, corrected abstract posting

Scientific paper

10.1103/PhysRevB.68.085314

The distribution $P_1$ of the first many-body excitation energy of a weakly and moderately interacting electron gas in a finite conductor (in the diffusive regime) is calculated. As the interaction is increased, $P_1$ crosses over from Wigner-Dyson to Poisson. We characterize this transition through the inverse participation ratio in Hilbert space, and examine its manifestation in a projected 2-dimensional space.

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