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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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6 pages, 1 figure, REVTeX. The figure improved. Misprints corrected. More discussion added

Scientific paper

10.1103/PhysRevA.58.R801

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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