The ground state entanglement in the XXZ model
Abstract
In this paper, we investigate spin entanglement in the XXZ model defined on a d-dimensional bipartite lattice. The concurrence, a measure of the entanglement between two spins, is analyzed. We prove rigorously that the ground state concurrence reaches maximum at the isotropic point. For dimensionality d 2, the concurrence develops a cusp at the isotropic point and we attribute it to the existence of magnetic long-range order.
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