 11177 Hakim Boumaza ; Hatem Najar
 Lifshitz tails for matrixvalued Anderson models
(72K, AMSTeX)
Nov 14, 11

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. This paper is devoted to the study of Lifshitz tails for a continuous matrixvalued Andersontype model $H_{\omega}$ acting on $L^2(\R^d)\otimes \C^{D}$, for arbitrary $d\geq 1$ and $D\geq 1$. We prove that the integrated density of states of $H_{\omega}$ has a Lifshitz behavior at the bottom of the spectrum. We obtain a Lifshitz exponent equal to $d/2$ and this exponent is independent of $D$. It shows that the behaviour of the integrated density of states at the bottom of the spectrum of a quasiddimensional Anderson model is the same as its behaviour for a ddimensional Anderson model.
 Files:
11177.src(
11177.comments ,
11177.keywords ,
BoumazaNajar_LifschitzMatrix_HAL.tex )