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Critical temperature and Ginzburg-Landau equation for a trapped Fermi gas

M. A. Baranov·D. S. Petrov
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Abstract

We discuss a superfluid phase transition in a trapped neutral-atom Fermi gas. We consider the case where the critical temperature greatly exceeds the spacing between the trap levels and derive the corresponding Ginzburg-Landau equation. The latter turns out to be analogous to the equation for the condensate wave function in a trapped Bose gas. The analysis of its solution provides us with the value of the critical temperature $T_{c}$ and with the spatial and temperature dependence of the order parameter in the vicinity of the phase transition point.

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M. A. Baranov, D. S. Petrov. 1998-04-01. Critical temperature and Ginzburg-Landau equation for a trapped Fermi gas. https://doi.org/10.1103/physreva.58.r801

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