Limiting absorption principle for long-range perturbation in a graphene setting

Published 18 Apr 2025 in math-ph, math.MP, and math.SP | (2504.13512v1)

Abstract: In this paper, we examine the discrete Laplacian acting on a hexagonal lattice by introducing long-range modifications in both the metric and the potential. Our objective is to establish a Limiting Absorption Principle, excluding possible embedded eigenvalues. To this end, we employ the positive commutator technique as our method.

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