Entanglement in the Quantum Phase Transition of the Half-Integer Spin One-Dimensional Heisenberg Model

Abstract

We use the Bethe’s ansatz method to study the entanglement of spinons in the quantum phase transition of half integer spin one-dimensional magnetic chains known as quantum wires. We calculate the entanglement in the limit of the number of particles . We obtain an abrupt change in the entanglement next the quantum phase transition point of the anisotropy parameter from the gapped phase to gapless phase .