Limiting absorption principle for long-range perturbation in a graphene setting
Mathematical Physics
2025-07-08 v2 math.MP
Spectral Theory
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.
Cite
@article{arxiv.2504.13512,
title = {Limiting absorption principle for long-range perturbation in a graphene setting},
author = {Nassim Athmouni and Marwa Ennaceur and Sylvain Golenia and Amel Jadlaoui},
journal= {arXiv preprint arXiv:2504.13512},
year = {2025}
}