Parametric invariant Random Matrix Model and the emergence of multifractality

Details Parametric invariant Random Matrix Model and the emergence of multifractality Parametric invariant Random Matrix Model and the emergence of multifractality

2005-08-21

arxiv.org/abs/cond-mat/0508497v2

Phys. Rev. E 73, 036204 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 6 figures, expanded version

Scientific paper

10.1103/PhysRevE.73.036204

We propose a random matrix modeling for the parametric evolution of eigenstates. The model is inspired by a large class of quantized chaotic systems. Its unique feature is having parametric invariance while still possessing the non-perturbative crossover that has been discussed by Wigner 50 years ago. Of particular interest is the emergence of an additional crossover to multifractality.

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