SKM 2021 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 9: Poster Session: Correlated Electrons
TT 9.33: Poster
Tuesday, September 28, 2021, 13:30–16:00, P
Applications of real-space truncated unity functional RG — •Jonas B. Hauck1, Carsten Honerkamp2, and Dante M. Kennes1,3 — 1Institut für Theorie der Statistischen Physik, RWTH Aachen, 52074 Aachen,Germany and JARA - Fundamentals of Future Information Technology — 2Institute for Theoretical Solid State Physics, RWTH Aachen University, 52074 Aachen, Germany and JARA - Fundamentals of Future Information Technology — 3Max Planck Institute for the Structure and Dynamics of Matter and Center for Free Electron Laser Science, 22761 Hamburg, Germany
The discovery of superconductivity in a quasicrystalline material and its approximants lead to a plethora of theoretical predictions. Calculations in such systems are however computationally very heavy, rendering numerical verification of these hypotheses difficult. To resolve this issue we developed a real-space version of the truncated unity functional renormalization group. In this talk I will present this method and discuss its possible use when combining it with the momentum space TUfRG. I will give a short introduction into the derivation, the implementation and showcase the predictive power of the method by presenting our investigation of a penrose quasicrystal and the chiral edge modes in a d+id superconductor.