Interaction energy of a pair of identical coplanar uniformly charged nanodisks

Orion Ciftja,Isaac Berry

doi:10.1063/1.5025336

Abstract

We consider a nanosystem consisting of two coplanar uniformly charged nanodisks that are coupled via Coulomb forces. Such a model represents a typical situation encountered in two-dimensional semiconductor quantum dot systems of electrons. We provide an exact integral expression for the interaction energy between the two coplanar nanodisks as a function of their separation distance. It is found that the difference between a standard Coulomb potential and the current one has features reminiscent of a Lennard-Jones interaction potential. The results derived can be useful to understand formation of clusters and/or aggregates in systems of coplanar charged nanodisks that contain electrons.

Highlights

Steady progress in nanotechnology during the last two decades has enabled researchers to fabricate novel structures at extremely small length scales that measure in the nanometer range.[1,2,3,4,5,6,7] Scientists around the world can create new artificial nanoscale materials and arrays of nanostructures in which charge carriers, such as electrons, are confined in one, two or three spatial dimensions
Confinement of charge carriers is many times achieved via electrostatic tools created by applying lithographically patterned gate electrodes, or by etching on a two-dimensional electron gas (2DEG) already created in a semiconductor heterostructure.[8,9,10,11,12,13,14,15]
In most cases one avoids this hurdle by considering the common approximation of a 2D parabolic confinement potential

Summary

Orion Ciftja and Isaac Berry

ARTICLES YOU MAY BE INTERESTED IN Why I am optimistic about the silicon-photonic route to quantum computing APL Photonics 2, 030901 (2017); https://doi.org/10.1063/1.4976737 Spin Seebeck effect in a metal-single-molecule-magnet-metal junction AIP Advances 8, 015215 (2018); https://doi.org/10.1063/1.5005131 Perspective: The future of quantum dot photonic integrated circuits APL Photonics 3, 030901 (2018); https://doi.org/10.1063/1.5021345 Interaction energy of a pair of identical coplanar uniformly charged nanodisks Orion Ciftjaa and Isaac Berry Department of Physics, Prairie View A&M University, Prairie View, Texas 77446, USA (Received 8 February 2018; accepted 6 March 2018; published online 14 March 2018)

INTRODUCTION

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RESULTS AND CONCLUSIONS

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