Conductance through an array of quantum dots

Details Conductance through an array of quantum dots Conductance through an array of quantum dots

2006-09-15

arxiv.org/abs/cond-mat/0609395v1

Physical Review B 74, 165417 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.74.165417

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.

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