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

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 combines a variational approximation with perturbation theory and a multiscale method. At the effective level the usual massless Dirac operator is enriched by other operators. We provide simulations for graphene to show the increased accuracy, and a theoretical result proving the improved validity time scale in the dynamical case.

Mathematical Physics (math-ph); Materials Science (cond-mat.mtrl-sci); Quantum Physics (quant-ph)

arXiv:2602.19185 [math-ph]

(or arXiv:2602.19185v2 [math-ph] for this version)

https://doi.org/10.48550/arXiv.2602.19185 Focus to learn more arXiv-issued DOI via DataCite

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