Phase separated charge density wave phase in two species extended   Bose-Hubbard model
  We study the quantum phase transitions in a two component bose-mixture in a one-dimensional optical lattice. The calculations have been performed in the framework of the extended Bose-Hubbard model using the finite size density matrix renormalization group method. We obtain different phase transitions for the system for integer filling. When the inter-species on-site and the nearest neighbor interactions are larger than the intra-species on-site and also the nearest neighbor interactions, the system exhibits a phase separated charge density wave (PSCDW) order that is characterized by the two species being spatially separated and existing in the density wave phases. 
Tapan Mishra, B. K. Sahoo, Ramesh V. Pai