1998/08/03 by Hiroshi Hasegawa, Baowen Li, Hasegawa, Hiroshi +5
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Condensed Matter (cond-mat) #FOS: Physical sciences #chao-dyn #cond-mat #nlin.CD
paper · pdf · doi:10.48550/arxiv.cond-mat/9808028
10 Revtex pages, 3 PS figures
arxiv created 1998/08/03 · arxiv updated 2009/11/30
We have computed the spectral number variances of an extended random matrix ensemble predicted by Guhr's supersymmetry formula, showing a non-monotone increase of the curves that arises from an "overshoot" of the two-level correlation function above unity. On the basis of the most general form of N-level joint distribution that meets sound probabilistic conditions on matrix spaces, the above characteristic may be attributed to the \it attractiveness of the pair potential in long range(E > Thouless energy) of the underlying level gas. The approach of level dynamics indicates that the result is "anti-screening" of the level repulsion in short-range statistics of the usual random matrix prediction until the joint level distribution undergoes a phase transition (the Anderson transition).