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On the extremality of the disordered state for the Ising model on the Bethe lattice

✍ Scribed by Dmitry Ioffe

Publisher: Springer
Year: 1996
Tongue: English
Weight: 269 KB
Volume: 37
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00416016

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✦ Synopsis

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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