Peculiarities of Electron-Electron Interaction in Quantum-Dimensional Objects

Authors B.A. Lukiyanets , D.V. Matulka

Lviv Polytechnic National University, 12, S. Bandera Str., 79000 Lviv, Ukraine

Issue Volume 10, Year 2018, Number 2
Dates Received 21 November 2017; revised manuscript received 26 April 2018; published online 29 April 2018
Citation B.A. Lukiyanets, D.V. MatulkaБ.А. Лукіянець, Д.В. Матулка, Ж. нано- электрон. физ. 10 № 2, 02003 (2018)
PACS Number(s) 73.22. – f
Keywords Nanoobject, Electron-electron interaction, Hartree-Fock approximation, Self-energy.

In the Hartree-Fock approximation peculiarities of the effect of electron-electron interactions in a quantum-dimensional object are analyzed. It is established that a self-energy Σn has the sawtooth dependence on the Fermi level position or on the size of an object as a result of the size quantization effect. The smaller the size of nano-objects, the more pronounced oscillations of Σn. And secondly, the smaller the size of nano-objects, the less the electron-electron interaction.

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