Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-08-05
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 1 figure. Supplementary material available at http://www.theorie.physik.uni-goettingen.de/~aspel/data/spectrum_supple
Scientific paper
We analyse the density of states of the random graph Laplacian in the percolating regime. A symmetry argument and knowledge of the density of states in the nonpercolating regime allows us to isolate the density of states of the percolating cluster (DSPC) alone, thereby eliminating trivially localised states due to finite subgraphs. We derive a nonlinear integral equation for the integrated DSPC and solve it with a population dynamics algorithm. We discuss the possible existence of a mobility edge and give strong evidence for the existence of discrete eigenvalues in the whole range of the spectrum.
Aspelmeier Timo
Zippelius Annette
No associations
LandOfFree
The integrated density of states of the random graph Laplacian 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 The integrated density of states of the random graph Laplacian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The integrated density of states of the random graph Laplacian will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-230134