Phase separations of bosonic mixtures in optical lattices from   macroscopic to microscopic scales
  Mixtures of cold bosonic atoms in optical lattices undergo phase separations on different length scales with increasing inter-species repulsion. As a general rule, the stronger the intra-species interactions, the shorter is this length scale. The wealth of phenomena is documented by illustrative examples on both superfluids and Mott-insulators. 
Ofir E. Alon, Alexej I. Streltsov and Lorenz S. Cederbaum