Signatures of Prelocalized States in Classically Chaotic Systems

Abstract

We investigate the statistics of eigenfunction intensities $\mathcal{P}(|\psi {|}^2)$ 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 $\mathcal{P}(|\psi {|}^2)$ contradict the results of the optimal fluctuation method, but agree very well with the predictions of the non-linear $\sigma -$model.

4 pages, 4 eps figures

References in corpus (1)

• Signature of ballistic effects in disordered conductors

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