Threshold temperature for thermal entanglement and ground-state multipartite entanglement in the isotropic Heisenberg model

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Abstract
We study the threshold temperature for thermal entanglement in the spin-1/2 isotropic Heisenberg model up to 11 spins and find that the threshold temperatures for odd and even number of qubits approach the thermal dynamical limit from below and above, respectively. The threshold temperature in the thermodynamic limit is estimated. For the model with even-number qubits we find that the ground states are genuinely multipartite maximally entangled states.

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