Temperature dependence of the energy of a vortex in a two-dimensional Bose gas

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We evaluate the thermodynamic critical angular velocity Omegac(T) for creation of a vortex of lowest quantized angular momentum in a strictly two-dimensional Bose gas at temperature T, using a mean-field two-fluid model for the condensate and the thermal cloud. Our results show that (i) a Thomas-Fermi description of the condensate badly fails in predicting the particle density profiles and the energy of the vortex as functions of T; and (ii) an extrapolation of a simple Thomas-Fermi formula for Omegac(0) is nevertheless approximately useful up to T = 0.5 Tc.