2003/01/31 by Tomaž Rejec, Tomaz Rejec, A. Ramšak +1 · 38 citations
Engineering · Physics and Astronomy · #Condensed matter physics #Conductance #Conductance quantum #Electron #Fermi Gamma-ray Space Telescope #Fermi energy #Formalism (music) #Ground state #Magnetic field #Magnetic flux #Mesoscopic physics #Molecular Junctions and Nanostructures #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum point contact #Semiconductor Quantum Structures and Devices #Zero (linguistics) #Zero temperature #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.68.035342
published in Physical review. B, Condensed matter 68(3) (American Physical Society) · 18 pages, 18 figures; to appear in Phys. Rev. B
arxiv created 2003/06/11 · openalex publication_date 2003/07/31 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The zero-temperature linear response conductance through an interacting mesoscopic region attached to noninteracting leads is investigated. We present a set of formulas expressing the conductance in terms of persistent currents in an auxiliary system, namely a ring threaded by a magnetic flux and containing the correlated electron region. We first derive the formulas for the noninteracting case and then give arguments why the formalism is also correct in the interacting case if the ground state of a system exhibits Fermi liquid properties. We prove that in such systems, the ground-state energy is a universal function of the magnetic flux, where the conductance is the only parameter. The method is tested by comparing its predictions with exact results and results of other methods for problems such as the transport through single and double quantum dots containing interacting electrons. The comparisons show an excellent quantitative agreement.