Derivatives and inequalities for order parameters in the Ising spin glass

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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10 pages; 3 figures; new inequalities added, title slightly changed

Scientific paper

10.1088/0305-4470/35/45/304

Identities and inequalities are proved for the order parameters, correlation functions and their derivatives of the Ising spin glass. The results serve as additional evidence that the ferromagnetic phase is composed of two regions, one with strong ferromagnetic ordering and the other with the effects of disorder dominant. The Nishimori line marks a crossover between these two regions.

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