Width of the charge-transfer peak in the SU(N) impurity Anderson model and its relevance to non-equilibrium transport

Abstract

We calculate the width $2{\Delta }_{\text{CT}}$ and intensity of the charge-transfer peak (the one lying at the on-site energy $E_d$) in the impurity spectral density of states as a function of $E_d$ in the SU($N$) impurity Anderson model (IAM). We use the dynamical density-matrix renormalization group (DDMRG) and the noncrossing-approximation (NCA) for $N$=4, and a 1/$N$ variational approximation in the general case. In particular, while for $E_d\gg \Delta$, where $\Delta$ is the resonant level half-width, ${\Delta }_{\text{CT}}=\Delta$ as expected in the noninteracting case, for $-E_d\gg N\Delta$ one has ${\Delta }_{\text{CT}}=N\Delta$. In the $N$=2 case, some effects of the variation of with $E_d$ were observed in the conductance through a quantum dot connected asymmetrically to conducting leads at finite bias [J. Könemann \textit{et al.}, Phys. Rev. B \textbf{73}, 033313 (2006)]. More dramatic effects are expected in similar experiments, that can be carried out in systems of two quantum dots, carbon nanotubes or other, realizing the SU(4) IAM.

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• Enhancing of nonlinear thermoelectric response of a correlated quantum dot in the Kondo regime by asymmetrically coupling to the leads
• Fully compensated Kondo effect for a two-channel spin S=1 impurity
• Quantifying the leading role of the surface state in the Kondo effect of Co/Ag(111)
• Relation between width of the zero-bias anomaly and Kondo temperaure in transport measurements through correlated quantum dots: Effect of asymmetric coupling to the leads
• Thermoelectric properties of a double quantum dot out of equilibrium in Kondo and intermediate valence regimes
• Leading temperature dependence of the conductance in Kondo-correlated quantum dots
• Role of asymmetry in thermoelectric properties of a double quantum dot out of equilibrium
• Kondo physics of magnetic adatoms on metallic surfaces when the onset of the surface conduction density of states crosses the Fermi level