# The Fermi-Hubbard model at unitarity

Burovski, Evgeni and Prokof'ev, Nikolay and Svistunov, Boris and Troyer, Matthias (2006) The Fermi-Hubbard model at unitarity. New Journal of Physics, 8. ISSN 1367-2630

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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 $\nu$ and, by extrapolating to $\nu \to 0$, determine the universal critical temperature of the continuum unitary Fermi gas in units of Fermi energy: $T_c/\epsilon_F=0.152(7)$. We also determine the thermodynamic functions and show how the Monte Carlo results can be used for accurate thermometry of a trapped unitary gas.

Item Type: Journal Article New Journal of Physics /dk/atira/pure/subjectarea/asjc/3100 Faculty of Science and Technology > Physics 61741 ep_importer_pure 05 Mar 2013 14:50 Yes Published 01 Jan 2020 08:17 https://eprints.lancs.ac.uk/id/eprint/61741