Theoretical research on localized surface plasmons (LSPs) supported by a structure formed by two parallel dielectric wires with a circular cross section wrapped with a graphene sheet has an impact in the practical realm. Here, LSPs are represented in the form of an infinite series of cylindrical multipole partial waves linked to each of the graphene wires. To obtain the kinematics (complex eigenfrequencies) and dynamic characteristics (field distributions) of the LSPs, we consider the analytic extension to the complex plane of the solution to the boundary value problem. The lower frequency LSP group is formed by four branches, two of them corresponding to bright modes and the others to dark modes. By tuning the chemical potential of the graphene covers so that the dimer symmetry breaks, these dark modes are transformed into resonant observables that can be excited by plane wave incidence.

中文翻译：

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耦合等离激元石墨烯线：理论研究，包括明暗表面等离激元的复杂频率和场分布

对由两根平行的圆形绝缘线包裹着石墨烯片形成的结构支撑的局部表面等离子体激元（LSP）的理论研究在实际领域中产生了影响。在此，以无穷系列的圆柱形多极子波连接到每条石墨烯线的形式表示LSP。为了获得LSP的运动学（复本征频率）和动态特征（场分布），我们考虑了对边界值问题解的复平面的解析扩展。低频LSP组由四个分支组成，其中两个对应于亮模式，另一个对应于暗模式。通过调节石墨烯覆盖层的化学势使二聚体对称性破裂，