Eur. Phys. J. B 58, 279-290 (2007)
https://doi.org/10.1140/epjb/e2007-00233-1

Effect of flux-dependent Friedel oscillations upon the effective transmission of an interacting nano-system

Service de Physique de l'État Condensé (CNRS URA 2464), DSM/DRECAM/SPEC, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France

Corresponding authors: ^a axel.freyn@cea.fr - ^b jean-louis.pichard@cea.fr

Received: 18 April 2007
Revised: 4 July 2007
Published online: 8 September 2007

Abstract

We consider a nano-system connected to measurement probes via non interacting leads. When the electrons interact inside the nano-system, the coefficient |t_s(E_F)|² describing its effective transmission at the Fermi energy E_F ceases to be local. This effect of electron-electron interactions upon |t_s(E_F)|² is studied using a one dimensional model of spinless fermions and the Hartree-Fock approximation. The non locality of |t_s(E_F)|² is due to the coupling between the Hartree and Fock corrections inside the nano-system and the scatterers outside the nano-system via long range Friedel oscillations. Using this phenomenon, one can vary |t_s(E_F)|² by an Aharonov-Bohm flux threading a ring which is attached to one lead at a distance L_c from the nano-system. For small distances L_c, the variation of the quantum conductance induced by this non local effect can exceed 0.1 (e²/h).