Transport through correlated quantum dots: An investigation using the functional renormalization group

Abstract

Calculations using the (exact) fermionic functional renormalization group are usually truncated at the second order of the corresponding hierarchy of coupled ordinary differential equations. We present a method for the systematic determination of higher order vertex functions. This method is applied to a study of transport properties of various correlated quantum dot systems. It is shown that for large Coulomb correlations higher order vertex functions cannot be neglected, and a static approximation is insufficient.

10 figures, accepted by Phys. Rev. B

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Cited by in corpus (9)

• Functional renormalization group approach to correlated fermion systems
• A finite-frequency functional RG approach to the single impurity Anderson model
• Fano-Kondo effect in side-coupled double quantum dots at finite temperatures and the importance of the two-stage Kondo screening
• Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems
• Nonequilibrium quantum dynamics of the magnetic Anderson model
• The large system asymptotics of persistent currents in mesoscopic quantum rings
• Review of recent developments of the functional renormalization group for systems out of equilibrium
• The Functional Renormalization Group for Zero-Dimensional Quantum Systems in and out of Equilibrium
• Functional renormalization group approach to the singlet-triplet transition in quantum dots