A novel approach to transport through correlated quantum dots

Abstract

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 newly developed 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 inter-dot 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.

18 pages, 18 figures included, version accepted for publication in PRB

References in corpus (6)

• Strongly correlated regimes in a double quantum-dot device
• Interference Effects on Kondo-Assisted Transport through Double Quantum Dots
• Interaction flow method for many-fermion systems
• Magnetic field dependent transmission phase of a double dot system in a quantum ring
• Dephasing in sequential tunneling through a double-dot interferometer
• Kondo physics in transport through a quantum dot with Luttinger liquid leads

Cited by in corpus (18)

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• Mesoscopic to universal crossover of transmission phase of multi-level quantum dots
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• Numerical renormalization group study of two-channel three-impurity triangular clusters
• Andreev Transport through Side-Coupled Double Quantum Dots
• Phase lapses in transmission through interacting two-level quantum dots
• A Novel Approach to Study Highly Correlated Nanostructures: The Logarithmic Discretization Embedded Cluster Approximation
• Fano resonance in a two-level quantum dot side-coupled to leads
• Transport through quantum dots: A combined DMRG and cluster-embedding study
• Supercurrent and multiple singlet-doublet phase transitions of a quantum dot Josephson junction inside an Aharonov-Bohm ring
• Correlation-induced resonances and population switching in a quantum dot coulomb valley
• A quantum criticality perspective on the charging of narrow quantum-dot levels
• Nonequilibrium Steady States and Fano-Kondo Resonances in an AB Ring with a Quantum Dot
• Lattice Green's function approach to the solution of the spectrum of an array of quantum dots and its linear conductance
• Transport through correlated quantum dots: An investigation using the functional renormalization group
• Comment on: ``Zero temperature conductance of parallel T-shape double quantum dots'' [Physica E 39 (2007) 214, arXiv:0708.1842v1]