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We study the bipartite entanglement per bond to determine characteristicfeatures of the phase diagram of various quantum spin models in differentspatial dimensions. The bipartite entanglement is obtained from a tensornetwork representation of the ground state wave-function. Three spin-1/2 models(Ising, XY, XXZ, all in a transverse field) are investigated. Imaginary-timeevolution (TEBD in 1D, `simple update' in 2D and 3D) is used to determine theground states of these models. The phase structure of the models is discussedfor all three dimensions.

Phase diagram of one-, two-, and three-dimensional quantum spin systems derived from entanglement properties