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The Fermi-Hubbard model at unitarity

Evgeni Burovski·Nikolay Prokof'ev·Boris Svistunov·Matthias Troyer
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Abstract

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.

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Evgeni Burovski, Nikolay Prokof'ev, Boris Svistunov, Matthias Troyer. 2006-06-06. The Fermi-Hubbard model at unitarity. https://doi.org/10.1088/13%3D

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