Abstract
This article studies quantum interference effects and their influence on the electronic transport through a parallel triple quantum-dot system coupled to normal and superconducting leads in the linear response and non-equilibrium regime. We model the system by a triple impurity Anderson Hamiltonian including the Coulomb intra-dot correlations in all quantum-dots. Using the non-equilibrium Green’s function formalism, we calculate the Andreev conductance and the transmittance for energies within the superconductor gap. Our results show that the Andreev reflection spectra, both in the presence and absence of Coulomb interaction, reveal Fano and Dicke-like resonances in analogy to the Fano and Dicke effects in atomic physics. As one of the main results, we obtain that the charge shows abrupt changes due to the Dicke effect.
Highlights
As expected, the graph of G in function of the Fermi energy μ, in the case of a quantum dot asymmetric coupling with the leads, presents two peaks as the case of TA as a function of the energy
Received: 6 November 2020; Accepted: 29 January 2021
Summary
With ǫ1 = ǫd + η and ǫ3 = ǫd − η If the real part of ρ(ω) is named “a” and his imaginary part “b”, we can write the above equation as: G1r2(ω) The first maximum occurs when ω = 0 and the two other maxima values of T(ǫ) occur when ω = ± η2 + 2t2. Substituting these expressions in the equation to G12 , considering t = 0 , and ŴS = 2Ŵ at the limit of ≫ ω we have: Ŵ4
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