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Recently a quantum simulator for the 2D Fermi-Hubbard model on an anisotropictriangular lattice has been realized, where both geometrical frustration anddoping can be continuously tuned. Here we provide a comprehensive comparisonbetween the magnetic correlations calculated by the two-particleself-consistent (TPSC) theory and those measured in this quantum simulator, attemperatures comparable to the spin exchange energy and Hubbard interactionscomparable to the bandwidth. We find overall excellent agreements between theTPSC calculations and the measurements from the quantum simulator at all levelsof frustration and doping. This is quite remarkable considering that theHubbard model is already in the intermediate to strong coupling regime, forwhich very few methods yield reliable results. Our work showcases the potentialof TPSC as a theoretical approach capable of providing reasonably accuratedescriptions of the Hubbard model even at fairly strong interactions and whenthe frustration is present.

Magnetic correlations of a doped and frustrated Hubbard model: benchmarking the two-particle self-consistent theory against a quantum simulator