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We study Fermi gases in two dimensions at low temperatures with attractiveinteractions. Analytical results are derived for the equation of state and theKosterlitz-Thouless transition temperature as functions of the two-body bindingenergy and the density of the gas. Our results for the equation of statestrongly deviate from the mean field predictions. However, they are inreasonable agreement with Monte-Carlo calculations and recent experiments withcold atomic gases.

Equation of state and Kosterlitz-Thouless transition temperature in two-dimensional Fermi gases: An analytical approach