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.
@article{arxiv.1508.06508,
title = {Phase diagram of one-, two-, and three-dimensional quantum spin systems derived from entanglement properties},
author = {B. Braiorr-Orrs and M. Weyrauch and M. V. Rakov},
journal= {arXiv preprint arXiv:1508.06508},
year = {2016}
}