In the fermionic Lipkin model, one-body entanglement entropy is approximately half the up-down mode entanglement and grows with coupling, while fermionic concurrence peaks at the phase transition and requires RPA correlations.
It is only in the fermionic case where this partition becomes meaningful and the ensuing up-down mode entanglement can be considered as a physical resource
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Fermionic entanglement in the Lipkin model
In the fermionic Lipkin model, one-body entanglement entropy is approximately half the up-down mode entanglement and grows with coupling, while fermionic concurrence peaks at the phase transition and requires RPA correlations.