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Effects of electron-electron interaction upon the conductance of nano-systems

Abstract : In this thesis, the non-local effect of local electron-electron interaction upon the transport in low-dimensional quantum models is studied. At zero temperature, the transport through an interacting nano-structure is described by the scattering approach, using an effective scattering matrix. However, when the interactions are important inside the nano-structure, the effective one-body scatterer describing the nano-structure cannot be determined from the internal properties of the nano-structure only, but is influenced also by external scatterers in the leads.

In this thesis, these interaction-induced non-local effects are studied in three different models, using the Hartree-Fock theory to describe the interaction.

Looking at two interacting nano-structures coupled by a non-interacting lead, we show that the scattering matrices of the nano-structures are effectively coupled via Friedel-oscillations in the lead.

It is sufficient to study a single interacting nano-structure in series with an one-body scatterer to obtain non-local contributions to the quantum conductance. Replacing the second nano-structure by an Aharonov-Bohm scatterer, we show that the scattering matrix of the nano-structure depends on the magnetic flux in the Aharonov-Bohm scatterer.

Extending our study to two dimensions, the influence of the non-local effect upon the images obtained by Scanning Gate Microscopy is considered. Using the non-local effect, we show that the importance of electron-electron interactions inside a nano-structure can be detected from the these images.
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Contributor : Axel Freyn <>
Submitted on : Tuesday, December 16, 2008 - 12:02:54 PM
Last modification on : Friday, May 29, 2020 - 4:01:49 PM
Long-term archiving on: : Thursday, October 11, 2012 - 1:50:57 PM


  • HAL Id : tel-00347605, version 1


Axel Freyn. Effects of electron-electron interaction upon the conductance of nano-systems. Physics [physics]. Université Pierre et Marie Curie - Paris VI, 2008. English. ⟨tel-00347605⟩



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