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In a previous article, we have investigated the non-equilibrium two-level Anderson model with a simple iterative perturbation theory. Here we use here a more sophisticated perturbative method, the fluctuation-exchange (FLEX) approximation. The great advantage of FLEX is its nature, and that it can describe well the Kondo energy scale, the Kondo-temperature, . As it was expected from the results obtained with iterative perturbation theory, the FLEX description can give back also the relevant features of the spectral properties.

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