Mesoscopic disorder in double-well optical lattices
  Double-well optical lattices are considered, each cite of which is formed by a double-well potential. The lattice is assumed to be in an insulating state and order and disorder are defined with respect to the displacement of atoms inside the double-well potential. It is shown that in such lattices, in addition to purely ordered and disordered states, there can exist an intermediate mixed state, where, inside a generally ordered lattice, there appear disordered regions of mesoscopic size. 
V.I. Yukalov and E.P. Yukalova
cond-mat.quant-gas cond-mat.dis-nn cond-mat.stat-mech