Regensburg 2022 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 28: Correlated Electrons: Theory 1
TT 28.11: Vortrag
Donnerstag, 8. September 2022, 12:30–12:45, H23
Non-local correlations and criticality in the triangular lattice Hubbard model — •Mario Malcolms de Oliveira1, Julian Stobbe2, Henry Menke3, Marcel Klett1, Georg Rohringer2, and Thomas Schäfer1 — 1Max Planck Institute for Solid State Research — 2University of Hamburg — 3University of Erlangen-Nuremberg
We investigate the role of non-local electronic correlations at finite temperatures in the half-filled triangular lattice Hubbard model using the dynamical vertex approximation (DΓA), a diagrammatic extension [1] of the dynamical mean-field theory (DMFT). We analyze the impact of (quantum) phase transitions on finite temperature properties at the one- and two-particle level. We discuss the absence of magnetic ordering at finite temperatures due to the fulfilment of the Mermin-Wagner theorem and the (Mott) metal-insulator crossover. In addition we compare the results of this method to the ones obtained by other cutting-edge techniques like DMFT, its real-space cluster extension cellular dynamical mean-field theory (CDMFT) and diagrammatic Monte Carlo (DiagMC) [2].
[1] G. Rohringer, H. Hafermann, A. Toschi, A.A. Katanin, A.E. Antipov, M.I. Katsnelson, A.I. Lichtenstein, A.N. Rubtsov, K. Held, Rev. Mod. Phys. 90, 025003 (2018)
[2] A. Wietek, R. Rossi, F. Šimkovic IV, M. Klett, P. Hansmann, M. Ferrero, E.M. Stoudenmire, T. Schäfer, A. Georges, Phys. Rev. X 11, 041013 (2021)