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Localization for Gapped Dirac Hamiltonians with Random Perturbations: Application to Graphene Antidot Lattices
In this paper we study random perturbations of first order elliptic operators with periodic potentials. We are mostly interested in Hamiltonians modeling graphene antidot lattices with impurities. The unperturbed operator H_0 := D_S + V_0 is the sum of a Dirac-like operator D_S plus a periodic matrix-valued potential V_0 , …