The integrated density of states of the random graph Laplacian.

Aspelmeier, T.; Zippelius, A.

doi:10.1007/s10955-011-0271-2

Datensatz

DATENSATZ AKTIONENEXPORT

Zur Ablage hinzufügen

Lokale TagsFreigabegeschichteDetailsÜbersicht

Freigegeben

Zeitschriftenartikel

The integrated density of states of the random graph Laplacian.

MPG-Autoren

/persons/resource/persons130957

Aspelmeier, T.
Research Group of Statistical Inverse-Problems in Biophysics, MPI for Biophysical Chemistry, Max Planck Society;

/persons/resource/persons173719

Zippelius, A.
Fellow Group Polymers, complex fluids and disordered systems, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

Externe Ressourcen

Es sind keine externen Ressourcen hinterlegt

Volltexte (beschränkter Zugriff)

Für Ihren IP-Bereich sind aktuell keine Volltexte freigegeben.

Volltexte (frei zugänglich)

2351312.pdf
(Verlagsversion), 555KB

Ergänzendes Material (frei zugänglich)

Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar

Zitation

Aspelmeier, T., & Zippelius, A. (2011). The integrated density of states of the random graph Laplacian. Journal of Statistical Physics, 144, 759-773. doi:10.1007/s10955-011-0271-2.

Zitierlink: https://hdl.handle.net/11858/00-001M-0000-002B-85F1-B

Zusammenfassung

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.