Layer-Dependent Energy of Two Parallel Charged Nano-Layers
We consider a bilayer nanosystem consisting of two parallel charged nano-layers. Such a system represents the typical building block of a multi-layered nanostructure formed by alternatively depositing thin metal-insulator-metal layers. We calculate exactly in closed form the electrostatic
interaction energy between two parallel charged nano-layers where each of them is modeled as a finite two-dimensional square-shaped system with constant surface charge density. We apply suitable mathematical transformations that allow us to derive an exact expression for the interaction energy
between nano-layers as a function of both size and inter-layer separation distance. We also derive an approximate expression for the interaction energy linearized with respect to the inter-layer separation that works well for small inter-layer separation. We show that the interaction energy
of this configuration of nano-layers depends on the ratio of the inter-layer separation distance relative to the characteristic length of the structure.
Keywords: Metallic Nano-Layers; Nanomaterials; Nanoscience; Nanotechnology
Document Type: Research Article
Affiliations: Department of Physics, Prairie View A&M University, Prairie View, TX 77446, USA
Publication date: 01 September 2016
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