Rigorous proof of phase transition in 1D long-range Ising spin glass on Nishimori line for 1 < alpha < 3/2.
Nishimori,Statistical Physics of Spin Glasses and Information Processing: An Introduction, (Ox- ford University Press, Oxford, 2001)
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Griffiths inequalities and Gibbs-Bogoliubov analogue are proven for general gauge glasses with Gaussian disorder on the Nishimori line, generalizing the Ising case.
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Existence of a Phase Transition in the One-Dimensional Ising Spin Glass Model with Long-Range Interactions on the Nishimori Line
Rigorous proof of phase transition in 1D long-range Ising spin glass on Nishimori line for 1 < alpha < 3/2.
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Griffiths inequalities and Gibbs-Bogoliubov inequality for general gauge glasses with Gaussian disorder on Nishimori line
Griffiths inequalities and Gibbs-Bogoliubov analogue are proven for general gauge glasses with Gaussian disorder on the Nishimori line, generalizing the Ising case.