Fermi-liquid theory for the persistent current past a side-coupled quantum dot

2006/12/07 by Ian Affleck, Erik S. Sørensen
Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.75.165316

published as Physical Review B, 75, 165316 (2007) · 16 pages, 5 figures, RevTex 4.0

arxiv created 2006/12/07 · openalex publication_date 2007/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Fermi-liquid theory is developed for the persistent current past a side-coupled quantum dot yielding analytical predictions for the behavior of the first two harmonics of the persistent current as a function of applied magnetic flux. The quantum dot is assumed weakly coupled to a ring of noninteracting electrons and thus appropriately described as a Kondo impurity. The theory is valid at weak Kondo couplings in the regime where the system size, L, is much larger than the size of the Kondo screening cloud, \ensuremathξ_K. The predictions of the Fermi-liquid theory for this model are compared to exact diagonalization results for the persistent current that lend support to the existence of a regime correctly described by this theory. The finite temperature conductance, at T⪡T_K, is also calculated using Fermi-liquid theory allowing the definition of a ``Wilson ratio'' relating the conductance and the persistent current.

Citations

• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Spin Correlations and Finite-Size Effects in the One-Dimensional Kondo Box
• The renormalization group: Critical phenomena and the Kondo problem
• Transport through Quantum Dots in Mesoscopic Circuits
• A ?fermi-liquid? description of the Kondo problem at low temperatures