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arXiv · 2506.22998

Discrete Spectrum of the Bilayer Graphene Operator

Siyu Gao·Oleg Safronov
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Abstract

We consider the graphene operator $D_m$ perturbed by a decaying potential $αV$, where $α$ is a coupling constant. We study the number $N(λ,α)$ of eigenvalues of the operator $D(t)=D_m-tV$ passing through a regular point $λ\inρ(D_m)$ as $t$ changes from $0$ to $α$. We obtain asymptotic formulas for $N(λ,α)$ as $α\to\infty$.

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Siyu Gao, Oleg Safronov. 2025-06-28. Discrete Spectrum of the Bilayer Graphene Operator. https://arxiv.org/abs/2506.22998

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