14.4 Consider a square lattice of Ising spins in any dimension, with energy given by the equation 14.1(attached in pic). Show that in the absence of an external field (H = 0) the free energy at a given temperature is the same for the ferromagnetic case (> 0) and the antiferromagnetic case( < 0).
14.4 Consider a square lattice of Ising spins in any dimension, with energy given by the equation 14.1(attached in pic). Show that in the absence of an external field (H = 0) the free energy at a given temperature is the same for the ferromagnetic case (> 0) and the antiferromagnetic case( < 0).
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From Kerson and Huang Statistical Mechanics book.
14.4 Consider a square lattice of Ising spins in any dimension, with energy given by the equation 14.1(attached in pic). Show that in the absence of an external field (H = 0) the free energy at a given temperature is the same for the ferromagnetic case (> 0) and the antiferromagnetic case( < 0).
Transcribed Image Text:N
(14.1 .
E, {s;} = -e2s;s;
(ij)
Σ 55, -Η s,
Si
i=1
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