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Random bond Ising systems on a general hierarchical lattice: Exact inequalities

Avishay Efrat·Moshe Schwartz
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Abstract

Random bond Ising systems on a general hierarchical lattice are considered. Interesting inequalities between eigenvalues of the Jacobian renormalization matrix at the pure fixed point are obtained. These lead to upper bounds on the crossover exponents $\{ϕ_i\}$.

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Avishay Efrat, Moshe Schwartz. 2001-01-09. Random bond Ising systems on a general hierarchical lattice: Exact inequalities. https://doi.org/10.1103/physreve.62.2952

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