Dresden 2026 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 13: Correlated Electrons: Method Development I
TT 13.10: Vortrag
Montag, 9. März 2026, 17:30–17:45, HSZ/0101
Competing instabilities for models with non-local and retarded interactions: a functional renormalization group perspective — •Kilian Fraboulet1,2,3, Aiman Al-Eryani4, Marcel Gievers5, Sarah Heinzelmann3, Friedrich Krien5, and Sabine Andergassen2,5 — 1Max-Planck-Institut für Festkörperforschung, Heisenbergstraße 1, 70569 Stuttgart, Germany — 2Institute of Information Systems Engineering, TU Wien, 1040 Vienna, Austria — 3Institute for Theoretical Physics and Center for Quantum Science, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany — 4Institute for Theoretical Physics III, Ruhr-Universität Bochum, 44801 Bochum, Germany — 5Institute of Solid State Physics, TU Wien, 1040 Vienna, Austria
The functional renormalization group is an established approach to study competing orders in many-electron systems in an unbiased manner, notably with a bosonization technique called single-boson exchange formalism. The resulting fRG approach, referred to as single-boson exchange fRG, is used to analyze competing orders in the 2D extended Hubbard model, especially the growth of the charge-density wave instability when the nearest-neighbor Coulomb repulsion increases. Finally, I will show how one can, using the single-boson exchange fRG, efficiently design a temperature flow (where the temperature is used as flow parameter) for models involving retarded interactions with electron-phonon couplings, such as the Hubbard-Holstein model.
Keywords: competing instabilities; functional renormalization group; electron-phonon coupling; single-boson exchange; charge-density wave