Long-range scattering theory for discrete Schrödinger operators on graphene
arXiv:1811.11527 · doi:10.1063/1.5087013
Abstract
We consider a long-range scattering theory for discrete Schrödinger operators on the hexagonal lattice, which describe tight-binding Hamiltonians on the graphene sheet. We construct Isozaki-Kitada modifiers for a pair of the difference Laplacian on the hexagonal lattice and perturbed operators with long-range potentials. We prove that these modified wave operators exist and that they are asymptotically complete.
14 pages, no figures