Question: 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
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
Data from Eq. 20.18
N == Na = = E T T T ) ( 0 | 0 | c 0) {o'm Cromp '
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Answer 1 Physical Meaning In an antiferromagnet neighboring atomic spins align in opposite directions An order parameter is a quantity that helps measure the degree of this alignment Both Nz and P02 attempt to capture this 2 Definitions Equation 207c Nz 1N j 1j Szj N is the number of lattice sites Szj is the zcomponent of spin at site j The 1j term reflects alternating spin direction ... View full answer
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