Diluted banded random matrices: Scaling behavior of eigenfunction and spectral properties

J. A. Mendez-Bermudez, Guilherme Ferraz de Arruda, Francisco A. Rodrigues +1

We demonstrate that the normalised localization length $\beta$ of the eigenfunctions of diluted (sparse) banded random matrices follows the scaling law $\beta =x^{\ast }/(1+x^{\ast })$. The scaling par…