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We investigate the stability of $\pi$-phase in a polarized superfluid Fermigas ($N_\uparrow>N_\downarrow$, where $N_\sigma$ is the number of atoms in thehyperfine state described by pseudospin-$\sigma$). In our previous paper [T.Kashimura, S. Tsuchiya, and Y. Ohashi, Phys. Rev. A {\bf 82}, 033617 (2010)],we showed that excess atoms ($\Delta N=N_\uparrow-N_\downarrow$) localizedaround a potential barrier embedded in the system induces the $\pi$-phase atT=0, where the phase of superfluid order parameter differ by $\pi$ across thejunction. In this paper, we extend our previous work to include temperatureeffects within the mean-field theory. We show that the $\pi$-phase is stableeven at finite temperatures, although transition from the $\pi$-phase to0-phase eventually occurs at a certain temperature. Our results indicate thatthe $\pi$-phase is experimentally accessible in cold Fermi gases.

Superfluid/ferromagnet/superfluid-junction and $\pi$-phase in a superfluid Fermi gas at finite temperatures