  We investigate the two dimensional generalized attractive Hubbard model in a
bipartite lattice, and and a "quantum phase liquid" phase, in which the
fermions are paired but don't have phase coherence at zero temperature, in
analogy to quantum spin liquid phase. Then, two types of topological quantum
phase liquids with a small external magnetic field-Z2 quantum phase liquids and
chiral quantum phase liquids-are discussed.
