Long-Range Spatial Correlations of Eigenfunctions in Quantum Disordered Systems

Details Long-Range Spatial Correlations of Eigenfunctions in Quantum Disordered Systems Long-Range Spatial Correlations of Eigenfunctions in Quantum Disordered Systems

1997-03-07

arxiv.org/abs/cond-mat/9703071v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTeX, 4 pages, no figure

Scientific paper

10.1103/PhysRevLett.80.1944

This paper is devoted to the statistics of the quantum eigenfunctions in an ensemble of finite disordered systems (metallic grains). We focus on moments of inverse participation ratio. In the universal random matrix limit that corresponds to the infinite conductance of the grains, these moments are self-averaging quantities. At large but finite conductance the moments do fluctuate due to the long range correlations in the eigenfunctions. We evaluate the distributions of fluctuations at given conductance and geometry of the grains and express them through the spectrum of the diffusion operator in the grain.

Affiliated with

Also associated with

No associations

Rating

Long-Range Spatial Correlations of Eigenfunctions in Quantum Disordered Systems 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 Long-Range Spatial Correlations of Eigenfunctions in Quantum Disordered Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long-Range Spatial Correlations of Eigenfunctions in Quantum Disordered Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-241658