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Layer-Dependent Energy of Two Parallel Charged Nano-Layers

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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.
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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: September 1, 2016

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  • Journal for Nanoscience and Nanotechnology (JNN) is an international and multidisciplinary peer-reviewed journal with a wide-ranging coverage, consolidating research activities in all areas of nanoscience and nanotechnology into a single and unique reference source. JNN is the first cross-disciplinary journal to publish original full research articles, rapid communications of important new scientific and technological findings, timely state-of-the-art reviews with author's photo and short biography, and current research news encompassing the fundamental and applied research in all disciplines of science, engineering and medicine.
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