Probing the eigenfunction fractality with a stop watch

Details Probing the eigenfunction fractality with a stop watch Probing the eigenfunction fractality with a stop watch

2004-01-07

arxiv.org/abs/cond-mat/0401098v3

Phys. Rev. B 72, 064108 (2005).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevB.72.064108

We study numerically the distribution of scattering phases ${\cal P}(\Phi)$ and of Wigner delay times ${\cal P}(\tau_W)$ for the power-law banded random matrix (PBRM) model at criticality with one channel attached to it. We find that ${\cal P}(\Phi)$ is insensitive to the position of the channel and undergoes a transition towards uniformity as the bandwidth $b$ of the PBRM model increases. The inverse moments of Wigner delay times scale as $<\tau_W^{-q} >\sim L^{- q D_{q+1}}$, where $D_q$ are the multifractal dimensions of the eigenfunctions of the corresponding closed system and $L$ is the system size. The latter scaling law is sensitive to the position of the channel.

Affiliated with

Also associated with

No associations

Rating

Probing the eigenfunction fractality with a stop watch does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Probing the eigenfunction fractality with a stop watch, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probing the eigenfunction fractality with a stop watch will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-114056