Statistical properties of the critical eigenstates in power-law random banded matrices across the band

Details Statistical properties of the critical eigenstates in power-law random banded matrices across the band Statistical properties of the critical eigenstates in power-law random banded matrices across the band

2005-03-09

arxiv.org/abs/cond-mat/0503221v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevB.72.033105

The level-spacing distribution in the tails of the eigenvalue bands of the power-law random banded matrix (PRBM) ensemble have been investigated numerically. The change of level-spacing statistics across the band is examined for different coupling strengths and compared to the density of states for the different systems. It is confirmed that, by varying the eigenvalue region, the same level-spacing statistics can be reached as by varying the coupling strength.

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