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Everywhere the 1/2 comes from the normalisation of the sum over neighbours in the Hamiltonian, that is more usually written with the red 1/2

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Texte intégral

(1)

2

(2)

2

=1

(3)

2

2

(4)

2

2

henceforth h is \sigma_h but I cannot write on the pages anymore.

2

(5)

2

2

(6)

2

2

2 2

2

2 2

(7)

2

2

(8)

2

2

Everywhere the 1/2 comes from the normalisation of the sum over neighbours in the Hamiltonian, that is more usually written with the

red 1/2. Then the critical temperature is changed as well, since it’s like making J->J/2

(9)

2

With the factors of 2 cancelled it’s a nicer expression

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