Heteronuclear fermionic superfluids with spin degrees of freedom

We present a theory of spinor superfluidity in a two-species heteronuclear ultracold fermionic atomic gas consisting of arbitrary half-integer spin and spin one-half atoms. In particular, we focus on the magnetism of the superfluid phase and determine the possible phases in the absence of a magnetic field. Our work demonstrates similarities between heteronuclear fermionic superfluids and spinor Bose-Einstein condensates at the mean-field level. Possible experimental situations are discussed.

Figure 1

Generic phase diagram as a function of temperature $T$ and coupling constant $g_{f^{+}}$. $f^{-}$ $\left(f^{+}\right)$ denotes the superfluid phase in which the spin angular momentum of a constituent Cooper pair is $f^{-}$ $\left(f^{+}\right)$.