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On the basis of Eq. 23, we can introduce the operator Q i which counts the number of spin-singlet pairs at the i th site: Q i = ni, Fi, mi 1 2 (ni - Fi) | ni, Fi, mi ni, Fi, mi |. The average number of local spin-singlet pairs is then given by the expectation value of this operator, i.e., Qi = Q i .
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On the basis of Eq. 23, we can introduce the operator Q i which counts the number of spin-singlet pairs at the i th site: Q i = ni, Fi, mi 1 2 (ni - Fi) | ni, Fi, mi ni, Fi, mi |. The average number of local spin-singlet pairs is then given by the expectation value of this operator, i.e., Qi = Q i.
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It is straightforward to derive the relation ΨSF | n i2 | ΨSF =N (N-1) | ci | 2 + ni based on the SF state in Eq. 7. Equation 20 is then rewritten as F i2 = n i2 + ni.
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It is straightforward to derive the relation ΨSF | n i2 | ΨSF =N (N-1) | ci | 2 + ni based on the SF state in Eq. 7. Equation 20 is then rewritten as F i2 = n i2 + ni.
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