Parametric invariant random matrix model and the emergence of multifractality Academic Article uri icon

abstract

  • 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 nonperturbative breakdown that had been discussed by Wigner 50 years ago. Of particular interest is the emergence of an additional crossover to multifractality.

publication date

  • January 1, 2006