Anomalously large critical regions in power-law random matrix ensembles

Details Anomalously large critical regions in power-law random matrix ensembles Anomalously large critical regions in power-law random matrix ensembles

2000-11-24

arxiv.org/abs/cond-mat/0011428v2

Phys. Rev. Lett. 87, 056601 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex, 4 pages, 4 eps figures. Final version to be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.87.056601

We investigate numerically the power-law random matrix ensembles. Wavefunctions are fractal up to a characteristic length whose logarithm diverges asymmetrically with different exponents, 1 in the localized phase and 0.5 in the extended phase. The characteristic length is so anomalously large that for macroscopic samples there exists a finite critical region, in which this length is larger than the system size. The Green's functions decrease with distance as a power law with an exponent related to the correlation dimension.

Affiliated with

Also associated with

No associations

Rating

Anomalously large critical regions in power-law random matrix ensembles 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 Anomalously large critical regions in power-law random matrix ensembles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalously large critical regions in power-law random matrix ensembles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-646277