Polar bosons in one-dimensional disordered optical lattices
  We analyze the effects of disorder and quasi-disorder on the ground-state properties of ultra-cold polar bosons in optical lattices. We show that the interplay between disorder and inter-site interactions leads to rich phase diagrams. A uniform disorder leads to a Haldane-insulator phase with finite parity order, whereas the density-wave phase becomes a Bose-glass at very weak disorder. For quasi-disorder, the Haldane insulator connects with a gapped generalized incommesurate density wave without an intermediate critical region. 
Xiaolong Deng, Roberta Citro, Edmond Orignac, Anna Minguzzi, and Luis   Santos
cond-mat.quant-gas cond-mat.dis-nn cond-mat.str-el