Zentrum für optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany.
J Chem Phys. 2017 May 21;146(19):194704. doi: 10.1063/1.4983294.
We study electronic image states around a metallic nanoring and show that the interplay between the attractive polarization force and a repulsive centrifugal force gives rise to Rydberg-like image states trapped several nanometers away from the surface. The nanoring is modeled as a perfectly conducting isolated torus whose classical electrostatic image potential is derived analytically. The image states are computed via a two-dimensional finite-difference scheme as solutions of the effective Schrödinger equation describing the outer electron subject to this image potential. These findings demonstrate not only the existence of detached image states around nanorings but allow us also to provide general criteria on the ring geometry, i.e., the aspect ratio of the torus, that need to be fulfilled in order to support such states.
我们研究了金属纳米环周围的电子像态，并表明吸引力的极化力和排斥力的离心力之间的相互作用导致了类似于里德堡的像态被束缚在离表面数纳米的地方。纳米环被建模为一个完美导电的孤立圆环，其经典静电像势可以通过解析方法推导出来。像态是通过二维有限差分方案作为外电子在外加像势作用下的有效薛定谔方程的解来计算的。这些发现不仅证明了纳米环周围存在分离的像态，而且还为我们提供了关于环几何形状的一般准则，即圆环的纵横比，需要满足这些准则才能支持这种状态。
