  We study the bipartite entanglement per bond to determine characteristic
features of the phase diagram of various quantum spin models in different
spatial dimensions. The bipartite entanglement is obtained from a tensor
network representation of the ground state wave-function. Three spin-1/2 models
(Ising, XY, XXZ, all in a transverse field) are investigated. Imaginary-time
evolution (TEBD in 1D, `simple update' in 2D and 3D) is used to determine the
ground states of these models. The phase structure of the models is discussed
for all three dimensions.
