Dissipative non-equilibrium Green function methodology to treat short range Coulomb interaction: current through a 1D nanostructure

Martinez, A., Barker, J. R. and Di Pietro, R. (2018) Dissipative non-equilibrium Green function methodology to treat short range Coulomb interaction: current through a 1D nanostructure. Journal of Physics: Condensed Matter, 30(29), 294003. (doi: 10.1088/1361-648X/aacc49) (PMID:29897340)

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Abstract

A methodology describing Coulomb blockade in the non-equilibrium Green function formalism is presented. We carried out ballistic and dissipative simulations through a 1D quantum dot using an Einstein phonon model. Inelastic phonons with different energies have been considered. The methodology incorporates the short-range Coulomb interaction between two electrons through the use of a two-particle Green function. Unlike previous work, the quantum dot has spatial resolution i.e. it is not just parameterized by the energy level and coupling constants of the dot. Our method intends to describe the effect of electron localization while maintaining an open boundary or extended wave function. The formalism conserves the current through the nanostructure. A simple 1D model is used to explain the increase of mobility in semi-crystalline polymers as a function of the electron concentration. The mechanism suggested is based on the lifting of energy levels into the transmission window as a result of the local electron–electron repulsion inside a crystalline domain. The results are aligned with recent experimental findings. Finally, as a proof of concept, we present a simulation of a low temperature resonant structure showing the stability diagram in the Coulomb blockade regime.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barker, Professor John
Authors: Martinez, A., Barker, J. R., and Di Pietro, R.
College/School:College of Science and Engineering > School of Engineering
Journal Name:Journal of Physics: Condensed Matter
Publisher:IOP Publishing
ISSN:0953-8984
ISSN (Online):1361-648X
Published Online:13 June 2018
Copyright Holders:Copyright © 2018 IOP Publishing Ltd
First Published:First published in Journal of Physics: Condensed Matter 30(29): 294003
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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