M. V. N. Murthy, M. Brack, R. K. Bhaduri
We propose a phenomenological approach for the equation of state of a unitary Fermi gas. The universal equation of state is first parametrised in terms of Fermi-Dirac integrals. This reproduces the experimental data over the accessible range of fugacity (or normalised temperature), but cannot describe the superfluid phase transition suggested by the experiment. The most sensitive data for compressibility and specific heat can, however, be well reproduced by introducing into the grand partition function a pair of zeros lying in the complex fugacity plane, causing a logarithmic singularity in the grand potential in the limit where they approach the real axis.
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http://arxiv.org/abs/1302.6316
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