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

2007/04/18 by Axel Freyn, Jean-Louis Pichard, J.‐L. Pichard · 1 citation
Chemistry · Engineering · Physics and Astronomy · #Chemistry #Condensed matter physics #Conductance #Coupling (piping) #Electron #Fermion #Flux (metallurgy) #Friedel oscillations #Materials science #Molecular Junctions and Nanostructures #Nano- #Physics #Quantum #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Surface and Thin Film Phenomena #Transmission (telecommunications) #Transmission coefficient #cond-mat.mes-hall

paper · pdf · doi:10.1140/epjb/e2007-00233-1

published as European Physical Journal B 58 (2007) 279-290

arxiv created 2007/04/18 · openalex publication_date 2007/08/01 · arxiv updated 2011/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider a nano-system connected to measurement probes via non interacting leads. When the electrons interact inside the nano-system, the coefficient |ts(E_F)|² describing its effective transmission at the Fermi energy E_F ceases to be local. This effect of electron-electron interactions upon |ts(E_F)|² is studied using a one dimensional model of spinless fermions and the Hartree-Fock approximation. The non locality of |ts(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 |ts(E_F)|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).

Citations

• Residual conductance of correlated one-dimensional nanosystems: A numerical approach
• Conductance through a one-dimensional correlated system: Relation to persistent currents and the role of the contacts
• Effect of Measurement Probes upon the Conductance of an Interacting Nanosystem: Detection of an Attached Ring by Nonlocal Many Body Effects
• The renormalization group: Critical phenomena and the Kondo problem
• Landauer formula for the current through an interacting electron region
• Length-dependent oscillations of the conductance through atomic chains: The importance of electronic correlations
• Imaging Electron Interferometer

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