Hölder equicontinuity of the integrated density of states at weak disorder

Details Hölder equicontinuity of the integrated density of states at weak disorder Hölder equicontinuity of the integrated density of states at weak disorder

2004-03-31

arxiv.org/abs/math-ph/0403063v2

Lett. Math. Phys. 70 (2004), 195-209.

Physics

Mathematical Physics

15 Pages, typos corrected, comments and ref. [1] added, theorems 3,4 combined

Scientific paper

10.1007/s11005-004-3757-x

H\"older continuity, $|N_\lambda(E)-N_\lambda(E')|\le C |E-E'|^\alpha$, with a constant $C$ independent of the disorder strength $\lambda$ is proved for the integrated density of states $N_\lambda(E)$ associated to a discrete random operator $H = H_o + \lambda V$ consisting of a translation invariant hopping matrix $H_o$ and i.i.d. single site potentials $V$ with an absolutely continuous distribution, under a regularity assumption for the hopping term.

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