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math-ph2025
Spectral analysis of The magnetic Laplacian acting on discrete funnels
Nassim Athmouni, Marwa Ennaceur, Sylvain Golénia
We study perturbations of the discrete magnetic Laplacian associated to discrete analogs of funnels. We perturb the metric in a long-range way. We establish a propagation estimate…
math-ph2025
Limiting absorption principle for long-range perturbation in a graphene setting
Nassim Athmouni, Marwa Ennaceur, Sylvain Golenia +1
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 est…