Conductance of nano-systems with interactions coupled via conduction electrons: Effect of indirect exchange interactions

Abstract

A nano-system in which electrons interact and in contact with Fermi leads gives rise to an effective one-body scattering which depends on the presence of other scatterers in the attached leads. This non local effect is a pure many-body effect that one neglects when one takes non interacting models for describing quantum transport. This enhances the non-local character of the quantum conductance by exchange interactions of a type similar to the RKKY-interaction between local magnetic moments. A theoretical study of this effect is given assuming the Hartree-Fock approximation for spinless fermions in an infinite chain embedding two scatterers separated by a segment of length L\_c. The fermions interact only inside the two scatterers. The dependence of one scatterer onto the other exhibits oscillations which decay as 1/L\_c and which are suppressed when L\_c exceeds the thermal length L\_T. The Hartree-Fock results are compared with exact numerical results obtained with the embedding method and the DMRG algorithm.

References in corpus (5)

• Residual conductance of correlated one-dimensional nanosystems: A numerical approach
• Length-dependent oscillations of the conductance through atomic chains: The importance of electronic correlations
• Interacting electron systems between Fermi leads: effective one-body transmissions and correlation clouds
• Coulomb blockade without potential barriers
• Numerical calculation of the Landauer conductance through an interacting electron system in the Hartree-Fock approximation

Cited by in corpus (4)

• Scanning Gate Microscopy of a Nanostructure where Electrons Interact
• Detection of interaction-induced nonlocal effects using perfectly transmitting nanostructures
• Effect of measurement probes upon the conductance of an interacting nanosystem: Detection of an attached ring by non local many body effects
• Universal Scaling of the Quantum Conductance of an Inversion-Symmetric Interacting Model