Regularity of the density of states for random Dirac operators

Abstract

We consider the random Dirac operators for which we have proved Anderson localization in arXiv:1812.01868. We use the Wegner estimate we have got in that paper to prove Lipschitz regularity of the density of states. Since usual methods for Schrödinger operators do not work in this case, we give a new one based on the Helffer-Sjöstrand formula.

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