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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).

N (14.1 . E, {s;} = -e2s;s; (ij) Σ 55, -Η s, Si i=1
Transcribed Image Text:N (14.1 . E, {s;} = -e2s;s; (ij) Σ 55, -Η s, Si i=1
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