Quantum Phase Liquids-Fermionic Superfluid without Phase Coherence
  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. 
Ya-Jie Wu, Jiang Zhou, and Su-Peng Kou
cond-mat.str-el