Berlin 2005 – wissenschaftliches Programm

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SYRS: Renormalization and Scaling

SYRS 2: SYRS II

SYRS 2.2: Hauptvortrag

Samstag, 5. März 2005, 11:00–11:30, TU H3010

Functional renormalization group methods for interacting Fermi systems — •Walter Metzner — Max-Planck-Institut fuer Festkoerperforschung, Heisenbergstr. 1, D-70569 Stuttgart

The functional renormalization group is an ideal tool for dealing with the diversity of energy scales and competition of correlations in interacting Fermi systems. Starting point is an exact hierarchy of flow equations which yields the gradual evolution from a microscopic model Hamiltonian to the effective low-energy action as a function of a continuously decreasing energy cutoff. Suitable truncations of the hierarchy have recently led to powerful new approximation schemes. Applications to be discussed in the talk include: i) d-wave superconductivity and other instabilities in the two-dimensional Hubbard model, ii) transport through a barrier and resonant tunneling in a one-dimensional Luttinger liquid metal.