Signatures of Prelocalized States in Classically Chaotic Systems

Details Signatures of Prelocalized States in Classically Chaotic Systems Signatures of Prelocalized States in Classically Chaotic Systems

2002-02-25

arxiv.org/abs/cond-mat/0202448v1

Phys. Rev. E 65, 055209 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 eps figures

Scientific paper

10.1103/PhysRevE.65.055209

We investigate the statistics of eigenfunction intensities ${\cal P}(|\psi|^2)$ in dynamical systems with classical chaotic diffusion. Our results contradict some recent theoretical considerations which challenge the applicability of field theoretical predictions, derived in a different framework for diffusive disordered samples. For two-dimensional systems, the tails of ${\cal P}(|\psi|^2)$ contradict the results of the optimal fluctuation method, but agree very well with the predictions of the non-linear $\sigma-$model.

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