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TUT: Tutorials

TUT 3: Tutorial: Nonequilibrium Renormalization Group Methods (TT)

TUT 3.2: Tutorium

Sonntag, 15. März 2015, 16:50–17:30, H 0110

Functional Renormalization Group Approach to Nonequilibrium Transport through Mesoscopic Systems — •Severin Georg Jakobs — Institute for Theory of Statistical Physics, RWTH Aachen, 52056 Aachen, Germany

The transport properties of quantum dots and wires are strongly influenced by correlation effects like the Kondo effect or Luttinger liquid behavior. The theoretical description of these effects requires methods beyond plain perturbation theory or mean-field theory. In the last decade, the functional renormalization group (fRG) has been used extensively and successfully to investigate such situations. It is applicable if the interaction on the dot is weak to intermediate compared to the hybridization with the leads. This makes the method complementary to the real-time RG which applies to the opposite regime and which is described in the tutorial by Herbert Schoeller. The particular formulation of the fRG in the framework of Keldysh formalism allows to study time-dependent and steady-state nonequilibrium situations. In this tutorial I introduce the basic concepts of that method and discuss the choice of appropriate flow parameters. I discuss examples for steady-state transport at finite bias voltage and for the time-dependent transient regime.