Lifshitz tails estimate for the density of states of the Anderson model

Jean-Michel Combes (1, 2) , François Germinet (3) , Abel Klein (4)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - E8 Dynamique quantique et analyse spectrale
3 AGM - UMR 8088 - Analyse, Géométrie et Modélisation
4 UC Irvine - University of California [Irvine]

We prove an upper bound for the (differentiated) density of states of the Anderson model at the bottom of the spectrum. The density of states is shown to exhibit the same Lifshitz tails upper bound as the integrated density of states.

Domaines: Physique mathématique [math-ph]

Jean-Michel Combes, François Germinet, Abel Klein. Lifshitz tails estimate for the density of states of the Anderson model. Spectra of Random Operators and Related Topics, Jul 2011, Kyoto University, Japan. pp.1-9. ⟨hal-01277740⟩