2006/03/31 by Christoph Karrasch, C. Karrasch, Tilman Enss +2 · 3 citations
Medicine · Physics and Astronomy · #Condensed matter physics #Density matrix renormalization group #Functional renormalization group #Medicine #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Renormalization group #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.73.235337
published as Phys. Rev. B 73, 235337 (2006) · 18 pages, 18 figures included, version accepted for publication in PRB
arxiv created 2006/05/15 · openalex publication_date 2006/06/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the effect of local Coulomb correlations on electronic transport through a variety of coupled quantum dot systems connected to Fermi liquid leads. We use a functional renormalization group scheme to compute the gate voltage dependence of the linear conductance, the transmission phase, and the dot occupancies. A detailed derivation of the flow equations for the dot level positions, the interdot hybridizations, and the effective interaction is presented. For specific setups and parameter sets we compare the results to existing accurate numerical renormalization group data. This shows that our approach covers the essential physics and is quantitatively correct up to fairly large Coulomb interactions while being much faster, very flexible, and simple to implement. We then demonstrate the power of our method to uncover interesting new physics. In several dots coupled in series the combined effect of correlations and asymmetry leads to a vanishing of transmission resonances. In contrast, for a parallel double-dot we find parameter regimes in which the two-particle interaction generates additional resonances.