Dimensionality dependence of the wave function statistics at the Anderson transition

Details Dimensionality dependence of the wave function statistics at the Anderson transition Dimensionality dependence of the wave function statistics at the Anderson transition

2001-11-06

arxiv.org/abs/cond-mat/0111081v1

Phys. Rev. B 66, 033109 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.66.033109

The statistics of critical wave functions at the Anderson transition in three and four dimensions are studied numerically. The distribution of the inverse participation ratios (IPR) $P_q$ is shown to acquire a scale-invariant form in the limit of large system size. Multifractality spectra governing the scaling of the ensemble-averaged IPRs are determined. Conjectures concerning the IPR statistics and the multifractality at the Anderson transition in a high spatial dimensionality are formulated.

Affiliated with

Also associated with

No associations

Rating

Dimensionality dependence of the wave function statistics at the Anderson transition 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 Dimensionality dependence of the wave function statistics at the Anderson transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dimensionality dependence of the wave function statistics at the Anderson transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-433672