  We present a finite-size scaling analysis of the entanglement in a
two-dimensional arrays of quantum dots modeled by the Hubbard Hamiltonian on a
triangular lattice. Using multistage block renormalization group approach, we
have found that there is an abrupt jump of the entanglement when a first-order
quantum phase transition occurs. At the critical point, the entanglement is
constant, independent of the block size.
