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Extremity of the disordered phase in the Ising model on the Bethe lattice

โœ Scribed by P. M. Bleher


Publisher
Springer
Year
1990
Tongue
English
Weight
354 KB
Volume
128
Category
Article
ISSN
0010-3616

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We give a simple proof that the limit Ising Gibbs measure with free boundary conditions on the Bethe lattice with the forward branching ratio k /> 2 is extremal if and only if/~ is less or equal to the spin glass transition value, given by tanh(Bc so) = 1/x/k.

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The two-layer spin-1 Ising model on the Bethe lattice is studied in terms of the intralayer coupling constants J 1 and J 2 of the two layers, interlayer coupling constant J 3 between the layers and the external magnetic fields, which are coupled to the two layers and assumed to be different for each