Show that (P_{0}^{2}) defined in Eq. (20.18) and (N_{z}) defined in Eq. (20.7c) are equivalent. Thus the

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Show that \(P_{0}^{2}\) defined in Eq. (20.18) and \(N_{z}\) defined in Eq. (20.7c) are equivalent. Thus the expectation value of either serves as an antiferromagnetic order parameter.

Data from Eq. 20.7c

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Data from Eq. 20.18

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