We present an extension of the concepts of the functional renormaliza-tion group approach to quantum many-body problems in non-equilibrium situations. The approach is completely general and allows calculations for both stationary and time-dependent situations. As a specific example we study the stationary state transport through a quantum dot with local Coulomb correlations. We discuss the influence of finite bias voltage as well as magnetic field and temperature on the current and conductance. For finite bias and magnetic fields we compare our results to recent experimental observations on a quantum dot in an external magnetic field.
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Pruschke, T., Gezzi, R., Dirks, A. (2008). Functional Renormalization Group Approach To Non-Equilibrium Properties Of Mesoscopic Systems. In: Bonča, J., Kruchinin, S. (eds) Electron Transport in Nanosystems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9146-9_19
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