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In this paper we develop a new approach to the investigation of thebi-partite entanglement entropy in integrable quantum spin chains. Our methodemploys the well-known replica trick, thus taking a replica version of the spinchain model as starting point. At each site i of this new model we construct anoperator T_i which acts as a cyclic permutation among the n replicas of themodel. Infinite products of T_i give rise to local operators, precursors ofbranch-point twist fields of quantum field theory. The entanglement entropy isthen expressed in terms of correlation functions of such operators. Employingthis approach we investigate the von Neumann and R\'enyi entropies of aparticularly interesting quantum state occurring as a limit (in a compactconvergence topology) of the antiferromagnetic XXZ quantum spin chain. We findthat, for large sizes, the entropy scales logarithmically, but not conformally.

Permutation operators, entanglement entropy, and the XXZ spin chain in the limit \Delta -> -1