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
Revised: 4 July 2007
Published online: 8 September 2007
We consider a nano-system connected to measurement probes via non interacting leads. When the electrons interact inside the nano-system, the coefficient |ts(EF)|2 describing its effective transmission at the Fermi energy EF ceases to be local. This effect of electron-electron interactions upon |ts(EF)|2 is studied using a one dimensional model of spinless fermions and the Hartree-Fock approximation. The non locality of |ts(EF)|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 |ts(EF)|2 by an Aharonov-Bohm flux threading a ring which is attached to one lead at a distance Lc from the nano-system. For small distances Lc, the variation of the quantum conductance induced by this non local effect can exceed 0.1 (e2/h).
PACS: 71.27.+a – Strongly correlated electron systems; heavy fermions / 72.10.-d – Theory of electronic transport; scattering mechanisms / 73.23.-b – Electronic transport in mesoscopic systems / 71.10.-w – Theories and models of many-electron systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007