Dresden 2011 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 11: Poster Session: Matter at Low Temperature

TT 11.13: Poster

Montag, 14. März 2011, 14:00–18:00, P4

Channel-decomposed renormalization group equations for the vertex in a superconductor — •Andreas Eberlein and Walter Metzner — Max Planck Institute for Solid State Research, Heisenbergstr. 1, D-70569 Stuttgart

The investigation of superconductivity in repulsively interacting electron-systems is complicated by the interplay between different interaction channels, which have to be treated on equal footing. We use the functional renormalization group (fRG) to investigate the low-energy properties of such systems with the aim of finding an efficient parametrization of the effective Nambu two-particle vertex in a singlet superconductor. We analyse general properties of the vertex and the renormalization group flow for a reduced model with pairing and forward scattering with the aim of investigating superconductivity in the Hubbard model. Using a decomposition of the vertex in various interaction channels, we manage to isolate singular momentum and frequency dependences in a way suitable for an efficient parametrization.