Statistical description of eigenfunctions in chaotic and weakly disordered systems beyond universality.
We present a semiclassical approach to eigenfunction statistics in chaotic and weakly disordered quantum systems which goes beyond random matrix theory, supersymmetry techniques, and existing semiclassical methods. The approach is based on a generalization of Berry's random wave model, combined with a consistent semiclassical representation of spatial two-point correlations. We derive closed expressions for arbitrary wave-function averages in terms of universal coefficients and sums over classical paths, which contain, besides the supersymmetry results, novel oscillatory contributions. Their physical relevance is demonstrated in the context of Coulomb blockade physics.
Urbina
Juan Diego
JD
Institute for Physics of Complex Systems, The Weizmann Institute of Science, 76100 Rehovot, Israel. jdurbinag@unal.edu.co
Richter
Klaus
K