Work

Generalized Eigenvalue-Counting Estimates for the Anderson Model

Year: 2009

Type: article

Abstract: We generalize Minami’s estimate for the Anderson model and its extensions to n eigenvalues, allowing for n arbitrary intervals and arbitrary single-site probability measures with no atoms. As an application, we derive new results about the multiplicity of eigenvalues and Mott’s formula for the ac-conductivity when the single site probability distribution is Hölder continuous.

Source: Journal of Statistical Physics

DOI: 10.1007/s10955-009-9731-3

Authors: Jean-Michel Combes, François Germinet, Abel Klein

Institutions: Université de Toulon, Centre National de la Recherche Scientifique, Analyse, Géométrie et Modélisation, Université de Cergy-Pontoise, University of California, Irvine

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: National Science Foundation