Freiburg 2019 – scientific programme
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FM: Fall Meeting
FM 75: Quantum Computation: Simulation II
FM 75.5: Talk
Thursday, September 26, 2019, 15:00–15:15, 1010
Functional renormalization group analysis of the response functions of the 2D Hubbard model — •Sarah Heinzelmann1, Cornelia Hille1, Agnese Tagliavini1, 2, Stefan Käser3, Philipp Hansmann4, Carsten Honerkamp5, Alessandro Toschi2, and Sabine Andergassen1 — 1Institut für Theoretische Physik and Centre for Quantum Science, Uni Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany — 2Institute for Solid State Physics, Vienna University of Thechnology, 1040 Vienna, Austria — 3Max-Planck-Institut für Festkörperforschung, Heisenbergstraße 1 — 4Max-Planck-Institut für Chemische Physik fester Stoffe, Nöthnitzer Straße 40 — 5Institut for Theoretical Solid State Physics, RWTH Aachen University, 52056 Aachen
We present results for the magnetic, density and superconducting pairing susceptibilities in the weak-coupling regime, as obtained from a fully frequency and momentum dependent functional renormalization group (fRG) calculation, which takes into account all channels in an unbiased way. In contrast to RPA, we observe pronounced renormalisation effects due to the interplay of the channels. We analyse the impact of vertex corrections on both s- and d-wave components of the susceptibilities in different regions of the phase diagram. Including the multiloop extension of the fRG, the present computation schemes paves a promising route towards quantitative studies of more challenging systems and/or parameter regimes.