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The Fermi-Hubbard model at unitarity TeX Export

(6 Jun 2006)

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carlo critical diagrammatic fermi_gas hubbard monte temperature unitary

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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.


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