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

摘要

We consider a nano-system connected to measurement probes via non interactingleads. When the electrons interact inside the nano-system, the coefficient|ts(E_F)|^2 describing its effective transmission at the Fermi energy E_Fceases to be local. This effect of electron-electron interactions upon|ts(E_F)|^2 is studied using a one dimensional model of spinless fermions andthe Hartree-Fock approximation. The non locality of |ts(E_F)|^2 is due to thecoupling between the Hartree and Fock corrections inside the nano-system andthe scatterers outside the nano-system via long range Friedel oscillations.Using this phenomenon, one can vary |ts(E_F)|^2 by an Aharonov-Bohm fluxthreading a ring which is attached to one lead at a distance Lc from thenano-system. For small distances Lc, the variation of the quantum conductanceinduced by this non local effect can exceed 0.1 (e^2/h).