1993/10/26 by Alex Kamenev, Daniel Braun · 1 citation
Mathematics · Physics and Astronomy · #Quantum and electron transport phenomena #Random Matrices and Applications #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1051/jp1:1994183
20 pages, RevTex 3.0, WIS-93/96/Sept.-PH
arxiv created 1993/10/26 · openalex publication_date 1994/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Exact analytic results for single level current and curvature distribution functions are derived in a framework of a 2× 2 random matrix model. Current and curvature are defined as the first and second derivatives of energy with respect to a time--reversal symmetry breaking parameter (magnetic flux). The applicability of the obtained distributions for the spectral statistic of disordered metals is discussed. The most surprising feature of our results is the divergence of the second and higher moments of the curvature at zero flux. It is shown that this divergence also appears in the general N× N random matrix model. Furthermore, we find an unusual logarithmic behavior of the two point current--current correlation function at small flux.