The Fermi-Hubbard model at unitarity
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We simulate the dilute attractive Fermi-Hubbard model in the unitarity regime using a diagrammatic determinant Monte Carlo algorithm with worm-type updates. We obtain the dependence of the critical temperature on the filling factor $ν$ and, by extrapolating to $ν\to 0$, determine the universal critical temperature of the continuum unitary Fermi gas in units of Fermi energy: $T_c/ε_F=0.152(7)$. We also determine the thermodynamic functions and show how the Monte Carlo results can be used for accurate thermometry of a trapped unitary gas.
v2: minor corrections, fig 7 replaced
v2: minor corrections, fig 7 replaced