Critical exponents at the Nishimori point

Abstract

The Nishimori point of the random bond Ising model is a prototype of renormalization group fixed points with strong disorder. We show that the exact correlation length and crossover critical exponents at this point can be identified in two and three spatial dimensions starting from properties of the Nishimori line. These are the first exact exponents for frustrated random magnets, a circumstance to be also contrasted with the fact that the exact exponents of the Ising model without disorder are not known in three dimensions. Our considerations extend to higher dimensions and models other than Ising.

footnote added, published version

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Cited by in corpus (3)

• Revisiting Nishimori multicriticality through the lens of information measures
• Exact results for spin glass criticality
• Boundary Criticality at the Nishimori Multicritical Point