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

Richard Berkovits·Yuval Gefen·Igor V. Lerner·Boris L. Altshuler
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Abstract

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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Richard Berkovits, Yuval Gefen, Igor V. Lerner, Boris L. Altshuler. 2003-04-14. Statistical Properties of The First Excited State of an Interacting Many Particle Disordered System. https://doi.org/10.1103/physrevb.68.085314

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