Pomeranchuk Cooling of $\mathrm{SU}(2N)$ Ultracold Fermions in Optical Lattices

We investigate the thermodynamic properties of a half-filled $\mathrm{SU}(2N)$ Hubbard model in the two-dimensional square lattice by the method of the determinant quantum Monte Carlo simulation, which is free of the fermion “sign problem.” The large number of hyperfine-spin components enhances spin fluctuations, which facilitates the Pomeranchuk cooling to temperatures comparable to the superexchange energy scale in the case of SU(6). Various physical quantities including entropy, charge fluctuations, and spin correlations are calculated.