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Quantum Simulation

Some effective operators for graphene monolayer superlattices, from variational perturbation theory

arXiv

Authors: Louis Garrigue

Year

2026

Paper ID

12107

Status

Preprint

Abstract Read

~2 min

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Abstract

Our goal is to provide precise effective operators for monolayer graphene at Fermi energy. We consider the microscopic potential created by a lattice, and add a macroscopic potential with the same periodicity but varying at a scale varepsilon^-1 in mathbb{N}, creating a superlattice. Our approach consists in coupling the variational approximation, perturbation theory together with a multiscale method. At the effective level the usual massless Dirac operator is replaced by other operators, and we provide simulations in the case of graphene.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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Our goal is to provide precise effective operators for monolayer graphene at Fermi energy.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.19185 [2] arXiv https://arxiv.org/abs/2602.19185 [3] Publisher https://arxiv.org/abs/2602.19185

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