  We investigate entanglement properties of infinite 1D and 2D spin-1/2 quantum
Ising and XXZ models. Tensor network methods (MPS in 1D and TERG and CTMRG in
2D) are used to model the ground state of the studied models. Different
entanglement measures, such as one-site entanglement entropy, one-tangle,
concurrence of formation and assistance, negativity and entanglement per bond
are calculated and their `characterizing power' to determine quantum phase
transitions is compared. A special emphasis is made on the study of
entanglement monogamy properties.
