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.

References in corpus (4)

• The electronic properties of graphene
• Band gaps in graphene via periodic electrostatic gating
• Electronic and optical properties of graphene antidot lattices: Comparison of Dirac and tight-binding models
• The Integrated Density of States for Random Schroedinger Operators