02-82 J. M. Combes, P. D. Hislop, F. Klopp

Holder continuity of the integrated density of states for some random operators at all energies (76K, LaTex 2e) Feb 21, 02

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

Abstract. We prove that the integrated density of states of random \Schr\ operators with Anderson-type potentials on $L^2 ( \R^d)$, for $d \geq 1$, is locally H{\"o}lder continuous at all energies. The single-site potential $u$ must be nonnegative and compactly supported, and the distribution of the random variable must be absolutely continuous with a bounded, compactly supported density. We also prove this result for random Anderson-type perturbations of the Landau Hamiltonian in two-dimensions under a rational flux condition.

Files: 02-82.src( 02-82.keywords , ids08.tex )