Rosch, A.; Paaske, J.; Kroha, J.; Wölfle, P. The Kondo effect in non-equilibrium quantum dots: perturbative renormalization group. (English) Zbl 1071.82054 J. Phys. Soc. Japan 74, No. 1, 118-126 (2005). Summary: While the properties of the Kondo model in equilibrium are very well understood, much less is known for Kondo systems out of equilibrium. We study the properties of a quantum dot in the Kondo regime, when a large bias voltage \(V\) and/or a large magnetic field \(B\) is applied. Using the perturbative renormalization group generalized to stationary nonequilibrium situations, we calculate renormalized couplings, keeping their important energy dependence. We show that in a magnetic field the spin occupation of the quantum dot is non-thermal, being controlled by \(V\) and \(B\) in a complex way to be calculated by solving a quantum Boltzmann equation. We find that the well-known suppression of the Kondo effect at finite \(V \gg T_K\) (Kondo temperature) is caused by inelastic dephasing processes induced by the current through the dot. We calculate the corresponding decoherence rate, which serves to cut off the RG flow usually well inside the perturbative regime (with possible exceptions). As a consequence, the differential conductance, the local magnetization, the spin relaxation rates and the local spectral function may be calculated for large \(V,B \gg T_K\) in a controlled way. Cited in 1 Document MSC: 82D20 Statistical mechanics of solids 82C28 Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics Keywords:Kondo effect, quantum dots, non-equilibrium, decoherence, perturbative renormalization group PDFBibTeX XMLCite \textit{A. Rosch} et al., J. Phys. Soc. Japan 74, No. 1, 118--126 (2005; Zbl 1071.82054) Full Text: DOI arXiv