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arXiv · 1811.11527

Long-range scattering theory for discrete Schrödinger operators on graphene

Yukihide Tadano
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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.

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Yukihide Tadano. 2018-12-21. Long-range scattering theory for discrete Schrödinger operators on graphene. https://doi.org/10.1063/1.5087013

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