Entanglement and quantum phase transition in the asymmetric Hubbard   chain: density-matrix renormalization group calculations
  We study the ground state quantum phase transition by means of entanglement in the one-dimensional asymmetric Hubbard model with open boundary condition. The local entanglement between the middle two sites and the rest of the system, and the block entanglement between the left and right portions of the system, are calculated using the density-matrix renormalization group (DMRG) method. We find that the entanglement shows interesting scaling and singular behavior around the phase transition line. 
W. L. Chan and S. J. Gu