  The behavior of a dilute two-component superfluid Fermi gas subjected to
rotation is investigated within the context of a weak-coupling BCS theory. The
microscopic properties at finite temperature are obtained by iterating the
Bogoliubov-de Gennes equations to self-consistency. In the model, alkali atoms
are strongly confined in quasi-two-dimensional traps produced by a deep
one-dimensional optical lattice. The lattice depth significantly enhances the
critical transition temperature and the critical rotation frequency at which
the superfluidity ceases. As the rotation frequency increases, the triangular
vortex arrays become increasingly irregular, indicating a quantum melting
transition.
