Jun 20 – 23, 2022
Max Planck Institut für Festkörperforschung
Europe/Berlin timezone

The role of non-local correlations in the triangular lattice Hubbard model

Jun 20, 2022, 5:30 PM
2D5 (Max Planck Institut für Festkörperforschung)


Max Planck Institut für Festkörperforschung

Contributed Poster Poster Session


Mário Malcolms de Oliveira (MPI-FKF)


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, and K. Held, Rev. Mod. Phys. 90, 025003 (2018).

[2] Alexander Wietek, Riccardo Rossi, Fedor Šimkovic IV, Marcel Klett, Philipp Hansmann, Michel Ferrero, E. Miles Stoudenmire, Thomas Schäfer, Antoine Georges, Phys. Rev. X 11, 041013 (2021).

Primary author


Ms Julian Stobbe (University of Hamburg) Dr Marcel Klett (Max Planck Institute for Solid State Research) Dr Georg Rohringer (University of Hamburg) Dr Thomas Schäfer (Max Planck Institute for Solid State Research )

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