2006/09/15 by Alejandro M. Lobos, A. M. Lobos, A. A. Aligia
Engineering · Mathematics · Physics and Astronomy · #Condensed matter physics #Conductance #Conductance quantum #Electron #Exponent #Geometry #Hubbard model #Isosceles triangle #Kondo effect #Limit (mathematics) #Mathematical analysis #Mathematics #Molecular Junctions and Nanostructures #Physics #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Quantum point contact #Representation (politics) #Saddle #Saddle point #Simple (philosophy) #Slave boson #Superconductivity #Surface and Thin Film Phenomena #Symmetry (geometry) #Trimer #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.74.165417
published as Physical Review B 74, 165417 (2006) · to appear in Phys. Rev. B
arxiv created 2006/09/15 · openalex publication_date 2006/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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. 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 G0=2e2∕h. The validity of the approach is discussed in detail.