Conductance through an array of quantum dots

Abstract

We propose a simple approach to study the conductance through an array of $N$ interacting quantum dots, weakly coupled to metallic leads. Using a mapping to an effective site which describes the low-lying excitations and a slave-boson representation in the saddle-point approximation, we calculated the conductance through the system. Explicit results are presented for N=1 and N=3: a linear array and an isosceles triangle. For N=1 in the Kondo limit, the results are in very good agreement with previous results obtained with numerical renormalization group (NRG). In the case of the linear trimer for odd $N$, when the parameters are such that electron-hole symmetry is induced, we obtain perfect conductance $G_0=2e^2/h$. The validity of the approach is discussed in detail.

to appear in Phys. Rev. B

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Cited by in corpus (23)

• Fano-Kondo effect in side-coupled double quantum dots at finite temperatures and the importance of the two-stage Kondo screening
• Quantum phase transition in quantum dot trimers
• Two-channel Kondo phases and frustration-induced transitions in triple quantum dots
• Numerical renormalization group study of two-channel three-impurity triangular clusters
• Kondo-Dicke resonances in electronic transport through triple quantum dots
• Nonequilibrium magnetotransport through a quantum dot: An interpolative perturbative approach
• Effects of interactions in transport through Aharonov-Bohm-Casher interferometers
• Kondo regime in triangular arrangements of quantum dots: Molecular orbitals, interference and contact effects
• Suppression of Kondo screening by the Dicke effect in multiple quantum dots
• Spectral density of an interacting dot coupled indirectly to conducting leads
• Transport through quantum dots: A combined DMRG and cluster-embedding study
• Quantum circuits based on coded qubits encoded in chirality of electron spin complexes in triple quantum dots
• Nonequilibrium conductance through a benzene molecule in the Kondo regime
• Theory of electronic properties and quantum spin blockade in a gated linear triple quantum dot with one electron spin each
• Effects of vertex corrections on diagrammatic approximations applied to the study of transport through a quantum dot
• Spin-Polarized STM for a Kondo adatom
• Low-energy physics for an iron phthalocyanine molecule on Au(111)
• Two-stage three-channel Kondo physics for an FePc molecule on the Au(111) surface
• Magnetoconductance switching in an array of oval quantum dots
• Spin selective transport through Aharonov-Bohm and Aharonov-Casher triple quantum dot systems
• Kondo effect in transport through Aharonov-Bohm and Aharonov-Casher interferometers
• Non-Zeeman splitting for a spin-resolved STM with a Kondo adatom in a spin-polarized two-dimensional electron gas
• Transport through strongly correlated triple quantum dot