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

References in corpus (2)

• Strongly correlated regimes in a double quantum-dot device
• Kondo screening in a magnetically frustrated nanostructure: Exact results on a stable, non-Fermi-liquid phase

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• Spectral density of an interacting dot coupled indirectly to conducting leads
• Transport through quantum dots: A combined DMRG and cluster-embedding study
• Spin-Polarized STM for a Kondo adatom