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Statistical properties of the first excited state of an interacting many-particle disordered system

2003/04/14 by Richard Berkovits, Yuval Gefen, Igor V. Lerner +2
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.68.085314

5 pages, 5 figures, corrected abstract posting

arxiv created 2003/04/14 · openalex publication_date 2003/08/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The distribution P1 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, P1 crosses over from Wigner-Dyson to Poisson distributions. We characterize this transition through the inverse participation ratio in Hilbert space, and examine its manifestation in a projected two-dimensional space.

Citations